LTC1967IMS8#TRPBF [Linear]

LTC1967 - Precision Extended Bandwidth, RMS-to-DC Converter; Package: MSOP; Pins: 8; Temperature Range: -40°C to 85°C;
LTC1967IMS8#TRPBF
型号: LTC1967IMS8#TRPBF
厂家: Linear    Linear
描述:

LTC1967 - Precision Extended Bandwidth, RMS-to-DC Converter; Package: MSOP; Pins: 8; Temperature Range: -40°C to 85°C

转换器 光电二极管
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LTC1967  
Precision Extended  
Bandwidth, RMS-to-DC Converter  
U
FEATURES  
DESCRIPTIO  
High Linearity:  
The LTC®1967 is a true RMS-to-DC converter that uses an  
innovativedelta-sigmacomputationaltechnique.Theben-  
efits of the LTC1967 proprietary architecture when com-  
pared to conventional log-antilog RMS-to-DC converters  
are higher linearity and accuracy, bandwidth independent  
of amplitude and improved temperature behavior.  
0.02% Linearity Allows Simple System Calibration  
Wide Input Bandwidth:  
Bandwidth to 0.1% Additional Gain Error: 40kHz  
Bandwidth Independent of Input Voltage Amplitude  
No-Hassle Simplicity:  
True RMS-DC Conversion with Only One External  
Capacitor  
TheLTC1967operateswithsingle-endedordifferentialin-  
put signals (for EMI/RFI rejection) and supports crest fac-  
tors up to 4. Common mode input range is rail-to-rail. Dif-  
ferential input range is 1VPEAK, and offers unprecedented  
linearity. The LTC1967 allows hassle-free system calibra-  
tion at any input voltage.  
Delta Sigma Conversion Technology  
Low Supply Current:  
330µA Typ  
Ultralow Shutdown Current:  
0.1µA  
Flexible Inputs:  
Differential or Single Ended  
Rail-to-Rail Common Mode Voltage Range  
Up to 1VPEAK Differential Voltage  
Flexible Output:  
Rail-to-Rail Output  
Separate Output Reference Pin Allows Level Shifting  
The LTC1967 has a rail-to-rail output with a separate out-  
put reference pin providing flexible level shifting; it oper-  
atesonasinglepowersupplyfrom4.5Vto5.5V.Alowpower  
shutdown mode reduces supply current to 0.1µA.  
TheLTC1967ispackagedinthespace-savingMSOPpack-  
age, which is ideal for portable applications.  
, LTC and LT are registered trademarks of Linear Technology Corporation.  
Protected under U.S. Patent Numbers 6,359,576, 6,362,677 and 6,516,291  
Small Size:  
Space Saving 8-Pin MSOP Package  
U
APPLICATIO S  
True RMS Digital Multimeters and Panel Meters  
True RMS AC + DC Measurements  
U
TYPICAL APPLICATIO  
Linearity Performance  
0.2  
LTC1967, Σ  
Single Supply RMS-to-DC Converter  
0
4.5V TO 5.5V  
–0.2  
–0.4  
+
V
IN1  
IN2  
OUTPUT  
LTC1967  
C
DIFFERENTIAL  
INPUT  
+
AVE  
V
OUT  
1µF  
–0.6  
–0.8  
–1.0  
CONVENTIONAL  
LOG/ANTILOG  
OUT RTN  
GND  
EN  
0.1µF  
OPT. AC  
COUPLING  
60Hz SINEWAVE  
100 200  
1967 TA01  
0
300  
400  
500  
1967 TA01b  
V
(mV AC  
)
RMS  
IN  
1967f  
1
LTC1967  
W W U W  
U W  
U
ABSOLUTE AXI U RATI GS  
PACKAGE/ORDER I FOR ATIO  
(Note 1)  
ORDER PART  
Supply Voltage  
V+ to GND............................................................. 6V  
Input Currents (Note 2) ..................................... ±10mA  
Output Current (Note 3)..................................... ±10mA  
ENABLE Voltage ......................................... –0.3V to 6V  
OUT RTN Voltage........................................ –0.3V to V+  
Operating Temperature Range (Note 4)  
NUMBER  
TOP VIEW  
LTC1967CMS8  
LTC1967IMS8  
GND  
IN1  
IN2  
NC  
1
2
3
4
8 ENABLE  
7 V  
6 OUT RTN  
+
5 V  
OUT  
MS8 PACKAGE  
8-LEAD PLASTIC MSOP  
MS8 PART MARKING  
LTTJ  
TJMAX = 150°C, θJA = 220°C/ W  
LTC1967C/LTC1967I ......................... 40°C to 85°C  
Specified Temperature Range (Note 5)  
LTC1967C/LTC1967I ......................... 40°C to 85°C  
Maximum Junction Temperature ......................... 150°C  
Storage Temperature Range ................ 65°C to 150°C  
Lead Temperature (Soldering, 10 sec)................. 300°C  
Consult LTC Marketing for parts specified with wider operating temperature ranges.  
ELECTRICAL CHARACTERISTICS  
The denotes specifications which apply over the full operating  
temperature range, otherwise specifications are TA = 25°C. V+ = 5V, VOUTRTN = 2.5V, CAVE = 10µF, VIN = 200mVRMS, VENABLE = 0.5V  
unless otherwise noted.  
SYMBOL  
PARAMETER  
CONDITIONS  
MIN  
TYP  
MAX  
UNITS  
Conversion Accuracy  
G
ERR  
Low Frequency Gain Error  
50Hz to 5kHz Input (Notes 6, 7)  
±0.1  
±0.3  
±0.4  
%
%
V
Output Offset Voltage  
Output Offset Drift  
Linearity Error  
(Notes 6, 7)  
0.1  
2
0.55  
10  
mV  
µV/°C  
%
OOS  
V /T  
(Note 11)  
OOS  
LIN  
50mV to 350mV (Notes 7, 8)  
(Note 9)  
0.02  
0.02  
0.15  
ERR  
PSRRG  
Power Supply Rejection  
0.15  
0.20  
%/V  
%/V  
V
IOS  
Input Offset Voltage  
Input Offset Drift  
(Notes 6, 7, 10)  
(Note 11)  
0.2  
1
1.5  
10  
mV  
V /T  
µV/°C  
IOS  
Additional Error vs Crest Factor (CF)  
CF = 3  
CF = 5  
60Hz Fundamental, 200mV  
60Hz Fundamental, 200mV  
0.2  
5
mV  
mV  
RMS  
RMS  
Input Characteristics  
V
Maximum Peak Input Swing  
Input Voltage Range  
Input Impedance  
Accuracy = 1% (Note 14)  
1
0
1.05  
V
V
IMAX  
+
I
V
VR  
Z
Average, Differential (Note 12)  
Average, Common Mode (Note 12)  
5
100  
MΩ  
MΩ  
IN  
CMRRI  
Input Common Mode Rejection  
Minimum RMS Input  
(Note 13)  
50  
400  
5
µV/V  
mV  
V
IMIN  
PSRRI  
Power Supply Rejection  
(Note 9)  
250  
600  
µV/V  
1967f  
2
LTC1967  
ELECTRICAL CHARACTERISTICS  
unless otherwise noted.  
The denotes specifications which apply over the full operating  
temperature range, otherwise specifications are TA = 25°C. V+ = 5V, VOUTRTN = 2.5V, CAVE = 10µF, VIN = 200mVRMS, VENABLE = 0.5V  
SYMBOL  
Output Characteristics  
OVR Output Voltage Range  
PARAMETER  
CONDITIONS  
MIN  
TYP  
MAX  
UNITS  
+
0
V
V
kΩ  
Z
Output Impedance  
(Note 12)  
40  
50  
50  
65  
OUT  
CMRRO  
Output Common Mode Rejection  
Maximum Differential Output Swing  
(Note 13)  
250  
µV/V  
V
Accuracy = 1%, DC Input (Note 14)  
1.0  
0.9  
1.05  
V
V
OMAX  
PSRRO  
Power Supply Rejection  
(Note 9)  
250  
1000  
µV/V  
Frequency Response  
f
f
0.1% Additional Gain Error (Note 15)  
40  
4
kHz  
1P  
±3dB Frequency (Note 15)  
MHz  
3dB  
Power Supplies  
+
V
Supply Voltage  
Supply Current  
4.5  
5.5  
V
I
IN1 = 20mV, IN2 = 0V  
IN1 = 200mV, IN2 = 0V  
320  
340  
390  
µA  
µA  
S
Shutdown Characteristics  
I
I
I
Supply Current  
V
V
V
= 4.5V  
= 4.5V  
= 0.5V  
0.1  
0.1  
–0.5  
2.1  
10  
µA  
µA  
µA  
V
SS  
IH  
IL  
ENABLE  
ENABLE  
ENABLE  
ENABLE Pin Current High  
ENABLE Pin Current Low  
ENABLE Threshold Voltage  
ENABLE Threshold Hysteresis  
–1  
–3  
0.1  
V
V
TH  
0.1  
V
HYS  
Note 1: Absolute Maximum Ratings are those values beyond which the life  
of a device may be impaired.  
the four parameters: G , V , V and linearity error. Correlation tests  
ERR OOS IOS  
have shown that the performance limits can be guaranteed with the  
additional testing being performed to guarantee proper operation of all  
internal circuitry.  
Note 2: The inputs (IN1, IN2) are protected by shunt diodes to GND and  
+
V . If the inputs are driven beyond the rails, the current should be limited  
to less than 10mA.  
Note 3: The LTC1967 output (V ) is high impedance and can be  
overdriven, either sinking or sourcing current, to the limits stated.  
Note 8: The LTC1967 is inherently very linear. Unlike older log/antilog  
circuits, its behavior is the same with DC and AC inputs, and DC inputs are  
used for high speed testing.  
OUT  
Note 9: The power supply rejections of the LTC1967 are measured with  
Note 4: The LTC1967C/LTC1967I are guaranteed functional over the  
operating temperature range of 40°C to 85°C.  
Note 5: The LTC1967C is guaranteed to meet specified performance from  
0°C to 70°C. The LTC1967C is designed, characterized and expected to  
meet specified performance from 40°C to 85°C but is not tested nor QA  
sampled at these temperatures. The LTC1967I is guaranteed to meet  
specified performance from 40°C to 85°C.  
+
DC inputs from 50mV to 350mV. The change in accuracy from V = 4.5V  
+
to V = 5.5V is divided by 1V.  
Note 10: Previous generation RMS-to-DC converters required nonlinear  
input stages as well as a nonlinear core. Some parts specify a “DC reversal  
error,” combining the effects of input nonlinearity and input offset voltage.  
The LTC1967 behavior is simpler to characterize and the input offset  
voltage is the only significant source of “DC reversal error.”  
Note 6: High speed automatic testing cannot be performed with  
Note 11: Guaranteed by design.  
C
= 10µF. The LTC1967 is 100% tested with C  
= 47nF. Correlation  
AVE  
AVE  
tests have shown that the performance limits can be guaranteed with the  
additional testing being performed to guarantee proper operation of all the  
internal circuitry.  
Note 7: High speed automatic testing cannot be performed with 60Hz  
inputs. The LTC1967 is 100% tested with DC and 10kHz input signals.  
Measurements with DC inputs from 50mV to 350mV are used to calculate  
Note 12: The LTC1967 is a switched capacitor device and the input/output  
impedance is an average impedance over many clock cycles. The input  
impedance will not necessarily lead to an attenuation of the input signal  
measured. Refer to the Applications Information section titled “Input  
Impedance” for more information.  
1967f  
3
LTC1967  
ELECTRICAL CHARACTERISTICS  
Note 13: The common mode rejection ratios of the LTC1967 are measured  
Note 15: The LTC1967 exploits oversampling and noise shaping to reduce  
the quantization noise of internal 1-bit analog-to-digital conversions. At  
higher input frequencies, increasingly large portions of this noise are  
aliased down to DC. Because the noise is shifted in frequency, it becomes  
a low frequency rumble and is only filtered at the expense of increasingly  
long settling times. The LTC1967 is inherently wideband, but the output  
accuracy is degraded by this aliased noise.  
with DC inputs from 50mV to 350mV. The input CMRR is defined as the  
change in V measured between input levels of 0V to 350mV and input  
IOS  
+
+
+
levels of V – 350mV to V divided by V – 350mV. The output CMRR is  
defined as the change in V  
= V – 350mV divided by V – 350mV.  
measured with OUT RTN = 0V and OUT RTN  
OOS  
+
+
Note 14: The LTC1967 input and output voltage swings are limited by  
internal clipping. However, its ∆Σ topology is relatively tolerant of  
momentary internal clipping.  
U W  
TYPICAL PERFOR A CE CHARACTERISTICS  
Gain and Offset  
Gain and Offset  
vs Input Common Mode Voltage  
vs Output Common Mode Voltage  
0.5  
0.4  
1.0  
0.3  
0.2  
1.0  
50mV V  
350mV  
50mV V  
350mV  
IN(PEAK)  
IN(PEAK)  
0.8  
0.8  
GAIN ERROR  
GAIN ERROR  
0.3  
0.6  
0.1  
0.6  
0.2  
0.4  
0
0.4  
V
IOS  
0.1  
0.2  
–0.1  
–0.2  
–0.3  
–0.4  
–0.5  
–0.6  
–0.7  
0.2  
V
OOS  
0
0
0
V
OOS  
–0.1  
–0.2  
–0.3  
–0.4  
–0.5  
–0.2  
–0.4  
–0.6  
–0.8  
–1.0  
–0.2  
–0.4  
–0.6  
–0.8  
–1.0  
V
IOS  
0
0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0  
OUTPUT COMMON MODE VOLTAGE (V)  
0
0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0  
INPUT COMMON MODE VOLTAGE (V)  
1967 G02  
1967 G01  
Gain and Offset vs Supply Voltage  
Gain and Offsets vs Temperature  
0.05  
0.04  
0.5  
0.5  
0.4  
1.0  
50mV V  
350mV  
50mV V  
IN(PEAK)  
350mV  
IN(PEAK)  
0.4  
0.8  
0.03  
0.3  
0.3  
0.6  
0.02  
0.2  
0.2  
0.4  
V
OOS  
GAIN ERROR  
0.01  
0.1  
0.1  
0.2  
GAIN ERROR  
V
OOS  
0
0
0
0
V
IOS  
–0.01  
–0.02  
–0.03  
–0.04  
–0.05  
–0.1  
–0.2  
–0.3  
–0.4  
–0.5  
–0.1  
–0.2  
–0.3  
–0.4  
–0.5  
–0.2  
–0.4  
–0.6  
–0.8  
–1.0  
V
IOS  
–40  
–15  
10  
35  
60  
85  
4.5  
4.8  
5.1  
5.4  
5.7  
6.0  
TEMPERATURE (°C)  
SUPPLY VOLTAGE (V)  
1967 G03  
1967 G04  
1967f  
4
LTC1967  
U W  
TYPICAL PERFOR A CE CHARACTERISTICS  
AC Linearity  
Performance vs Crest Factor  
Performance vs Large Crest Factors  
220  
210  
200  
190  
180  
170  
160  
150  
140  
130  
120  
0.20  
0.15  
0.10  
0.05  
0
201.0  
200.8  
200.6  
200.4  
200.2  
200.0  
199.8  
199.6  
199.4  
199.2  
199.0  
200mV  
AVE  
O.1%/DIV  
SCR WAVEFORMS  
60Hz SINEWAVES  
RMS  
10Hz  
20Hz  
C
= 10µF  
C
AVE  
V
IN2  
= 10µF  
1kHz  
= MIDSUPPLY  
60Hz  
10kHz  
–0.05  
–0.10  
–0.15  
–0.20  
1kHz  
200mV  
AVE  
5%/DIV  
SCR WAVEFORMS  
RMS  
20Hz 60Hz  
C
= 10µF  
4
1
2
3
4
5
6
7
8
1
2
3
5
0
100  
200  
300  
400  
500  
CREST FACTOR  
CREST FACTOR  
V
IN1  
(mV AC )  
RMS  
1967 G06  
1967 G05  
1967 G07  
DC Linearity  
Supply Current vs Supply Voltage  
Supply Current vs Temperature  
450  
0.10  
0.08  
345  
340  
V
= 5V  
C
AVE  
V
IN2  
= 1µF  
= MIDSUPPLY  
S
400  
350  
300  
250  
200  
150  
100  
50  
0.06  
0.04  
335  
0.02  
330  
325  
0
–0.02  
–0.04  
–0.06  
–0.08  
–0.10  
EFFECTS OF OFFSETS  
MAY BE POSITIVE OR  
320  
315  
NEGATIVE AT V = 0V  
IN  
0
–500  
–300  
–100  
100  
(mV)  
300  
500  
0
1
2
5
6
85  
3
4
–55 –35 –15  
5
25 45 65  
105 125  
SUPPLY VOLTAGE (V)  
V
TEMPERATURE (°C)  
IN1  
1967 G08  
1967 G09  
1967 G10  
Shutdown Current  
vs ENABLE Voltage  
Input Signal Bandwidth  
vs RMS Value  
Input Signal Bandwidth  
1000  
100  
10  
202  
200  
198  
196  
500  
400  
300  
200  
100  
0
300  
0.1% ERROR  
1% ERROR  
10%  
ERROR  
200  
I
S
100  
0
194  
192  
I
EN  
–100  
–200  
–300  
–400  
190  
188  
186  
184  
182  
–3dB  
1M  
1%/DIV  
C
= 1µF  
AVE  
–100  
1
4
6
0
1
2
3
5
100  
1k  
10k  
100k  
1M  
10M  
100  
1k  
10k  
100k  
10M  
ENABLE PIN VOLTAGE (V)  
INPUT SIGNAL FREQUENCY (Hz)  
INPUT SIGNAL FREQUENCY (Hz)  
1967 G13  
1967 G12  
1967 G11  
1967f  
5
LTC1967  
TYPICAL PERFOR A CE CHARACTERISTICS  
U W  
Input Common Mode Rejection  
Ratio vs Frequency  
DC Transfer Function Near Zero  
Bandwidth to 200kHz  
100  
90  
80  
70  
60  
50  
40  
30  
20  
10  
0
202  
201  
200  
40  
V
= MIDSUPPLY  
4.5V COMMON  
MODE INPUT  
CONVERSION  
TO DC OUTPUT  
0.5%/DIV  
IN2  
35 THREE REPRESENTATIVE UNITS  
C
AVE  
= 47µF  
30  
25  
20  
15  
10  
5
199  
198  
197  
196  
195  
0
–5  
–10  
–30  
10  
100  
10k 100k  
1k  
INPUT FREQUENCY (Hz)  
1M  
10M  
50k  
100k  
200k  
0
150k  
–20  
0
10  
20  
30  
–10  
V
(mV DC)  
INPUT FREQUENCY (Hz)  
IN1  
1967 G16  
1967 G14  
1967 G15  
Output Accuracy  
vs Signal Amplitude  
Output Noise vs Input Frequency  
1
0.1  
10  
5
V
IN2  
= MIDSUPPLY  
PEAK NOISE DURING  
1% ERROR  
10 SECOND MEASUREMENT  
0
C
= 1µF  
AVE  
–5  
C
= 10µF  
AVE  
DC  
–1% ERROR  
0.01  
–10  
–15  
–20  
C
= 100µF  
AC – 60Hz  
SINEWAVE  
AVE  
0.001  
0
0.5  
1
1.5  
2
1k  
10k  
100k  
INPUT FREQUENCY (Hz)  
V
(V  
)
IN1 RMS  
1967 G18  
1967 G17  
1967f  
6
LTC1967  
U
U
U
PI FU CTIO S  
GND (Pin 1): Ground. The power return pin.  
OUT RTN (Pin 6): Output Return. The output voltage is  
created relative to this pin. The VOUT and OUT RTN pins  
are not balanced and this pin should be tied to a low  
impedance, both AC and DC. Although it is often tied to  
GND, it can be tied to any arbitrary voltage:  
GND < OUT RTN < (V+ – Max Output)  
V+ (Pin 7): Positive Voltage Supply. 4.5V to 5.5V.  
IN1 (Pin 2): Differential Input. DC coupled (polarity is  
irrelevant).  
IN2 (Pin 3): Differential Input. DC coupled (polarity is  
irrelevant).  
V
OUT (Pin 5): Output Voltage. This is high impedance. The  
RMS averaging is accomplished with a single shunt ca-  
pacitor from this node to OUT RTN. The transfer function  
is given by:  
ENABLE (Pin 8): An Active-Low Enable Input. LTC1967 is  
debiased if open circuited or driven to V+. For normal  
operation, pull to GND.  
V
OUT  
– OUT RTN = Average IN2 IN1 2  
(
)
(
)
W U U  
U
APPLICATIO S I FOR ATIO  
RMS-TO-DC CONVERSION  
Alternatives to RMS  
Other ways to quantify dynamic waveforms include peak  
detection and average rectification. In both cases, an  
average (DC) value results, but the value is only accurate  
at the one chosen waveform type for which it is calibrated,  
typically sine waves. The errors with average rectification  
are shown in Table 1. Peak detection is worse in all cases  
and is rarely used.  
Definition of RMS  
RMS amplitude is the consistent, fair and standard way to  
measure and compare dynamic signals of all shapes and  
sizes. Simply stated, the RMS amplitude is the heating  
potential of a dynamic waveform. A 1VRMS AC waveform  
willgeneratethesameheatinaresistiveloadaswill1VDC.  
Mathematically, RMS is the “Root of the Mean of the  
Square”:  
Table 1. Errors with Average Rectification vs True RMS  
AVERAGE  
RECTIFIED  
WAVEFORM  
Square Wave  
Sine Wave  
V
(V)  
ERROR*  
RMS = V2  
RMS  
V
1.000  
1.000  
1.000  
1.000  
1.000  
0.900  
0.866  
0.637  
11%  
*Calibrate for 0% Error  
–3.8%  
Triangle Wave  
+
1V DC  
R
R
R
SCR at 1/2 Power,  
–29.3%  
Θ = 90°  
SCR at 1/4 Power,  
Θ = 114°  
1.000  
0.536  
–40.4%  
SAME  
HEAT  
1V AC  
RMS  
The last two entries of Table 1 are chopped sine waves as  
is commonly created with thyristors such as SCRs and  
Triacs. Figure 2a shows a typical circuit and Figure 2b  
shows the resulting load voltage, switch voltage and load  
1V (AC + DC) RMS  
1967 F01  
Figure 1  
1967f  
7
LTC1967  
W U U  
U
APPLICATIO S I FOR ATIO  
currents. The power delivered to the load depends on the  
firing angle, as well as any parasitic losses such as switch  
“ON” voltage drop. Real circuit waveforms will also typi-  
cally have significant ringing at the switching transition,  
dependent on exact circuit parasitics. For the purposes of  
this data sheet, “SCR Waveforms” refers to the ideal  
chopped sine wave, though the LTC1967 will do faithful  
RMS-to-DC conversion with real SCR waveforms as well.  
the lowpass filter. The input to the LPF is the calculation  
from the multiplier/divider; (VIN)2/VOUT. The lowpass  
filter will take the average of this to create the output,  
mathematically:  
2
V
(
)
IN  
VOUT  
=
,
VOUT  
The case shown is for Θ = 90°, which corresponds to 50%  
of available power being delivered to the load. As noted in  
Table 1, when Θ = 114°, only 25% of the available power  
is being delivered to the load and the power drops quickly  
as Θ approaches 180°.  
Because VOUT is DC,  
2
2
V
(
)
IN  
V
(
)
IN  
=
, so  
VOUT  
VOUT  
2
With an average rectification scheme and the typical  
calibration to compensate for errors with sine waves, the  
RMS level of an input sine wave is properly reported; it is  
only with a non-sinusoidal waveform that errors occur.  
Because of this calibration, and the output reading in  
V
(
)
IN  
VOUT  
=
, and  
VOUT  
V
OUT  
2 = V 2, or  
(
)
(
)
IN  
V
RMS, the term True-RMS got coined to denote the use of  
2
VOUT  
=
V
IN  
= RMS V  
(
)
(
)
IN  
an actual RMS-to-DC converter as opposed to a calibrated  
average rectifier.  
2
V
(
)
IN  
VOUT  
V
I
LOAD  
+
+
×
÷
V
V
LPF  
V
IN  
OUT  
LOAD  
THY  
+
AC  
MAINS  
V
LINE  
CONTROL  
1967 F03  
1967 F02a  
Figure 2a  
Figure 3. RMS-to-DC Converter with Implicit Computation  
Unlike the prior generation RMS-to-DC converters, the  
LTC1967 computation does NOT use log/antilog circuits,  
which have all the same problems, and more, of log/  
antilogmultipliers/dividers,i.e.,linearityispoor,theband-  
widthchangeswiththesignalamplitudeandthegaindrifts  
with temperature.  
V
LINE  
Θ
V
LOAD  
V
THY  
I
LOAD  
1967 F02b  
Figure 2b  
How the LTC1967 RMS-to-DC Converter Works  
TheLTC1967usesacompletelynewtopologyforRMS-to-  
DC conversion, in which a ∆Σ modulator acts as the  
divider, and a simple polarity switch is used as the multi-  
plier1 as shown in Figure 4.  
How an RMS-to-DC Converter Works  
MonolithicRMS-to-DCconvertersuseanimplicitcompu-  
tation to calculate the RMS value of an input signal. The  
fundamental building block is an analog multiply/divide  
used as shown in Figure 3. Analysis of this topology is  
easy and starts by identifying the inputs and the output of  
1Protected by multiple patents.  
1967f  
8
LTC1967  
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APPLICATIO S I FOR ATIO  
VIN  
Note that the internal scalings are such that the ∆Σ output  
D
α
VOUT  
dutycycleislimitedto0%or100%onlywhenVIN exceeds  
-Σ  
±4 • VOUT  
.
REF  
V
IN  
Linearity of an RMS-to-DC Converter  
±1  
V
LPF  
OUT  
Linearity may seem like an odd property for a device that  
implements a function that includes two very nonlinear  
processes: squaring and square rooting.  
1967 F04  
Figure 4. Topology of LTC1967  
However, an RMS-to-DC converter has a transfer func-  
tion, RMS volts in to DC volts out, that should ideally have  
a 1:1 transfer function. To the extent that the input to  
output transfer function does not lie on a straight line, the  
part is nonlinear.  
The ∆Σ modulator has a single-bit output whose average  
duty cycle (D) will be proportional to the ratio of the input  
signal divided by the output. The ∆Σ is a 2nd order  
modulator with excellent linearity. The single-bit output is  
used to selectively buffer or invert the input signal. Again,  
this is a circuit with excellent linearity, because it operates  
at only two points: ±1 gain; the average effective multipli-  
cation over time will be on the straight line between these  
two points. The combination of these two elements again  
A more complete look at linearity uses the simple model  
shown in Figure 5. Here an ideal RMS core is corrupted by  
both input circuitry and output circuitry that have imper-  
fecttransferfunctions. Asnoted, inputoffsetisintroduced  
in the input circuitry, while output offset is introduced in  
the output circuitry.  
creates a lowpass filter input signal equal to (VIN)2/VOUT  
,
which,asshownabove,resultsinRMS-to-DCconversion.  
Any nonlinearity that occurs in the output circuity will  
corrupt the RMS in to DC out transfer function. A nonlin-  
earity in the input circuitry will typically corrupt that  
transfer function far less simply because with an AC input,  
the RMS-to-DC conversion will average the nonlinearity  
from a whole range of input values together.  
The lowpass filter performs the averaging of the RMS  
function and must be a lower corner frequency than the  
lowest frequency of interest. For line frequency measure-  
ments, this filter is simply too large to implement on-chip,  
but the LTC1967 needs only one capacitor on the output  
to implement the lowpass filter. The user can select this  
capacitor depending on frequency range and settling time  
requirements, as will be covered in the Design Cookbook  
section to follow.  
But the input nonlinearity will still cause problems in an  
RMS-to-DC converter because it will corrupt the accuracy  
as the input signal shape changes. Although an RMS-to-  
DC converter will convert any input waveform to a DC  
output, the accuracy is not necessarily as good for all  
waveforms as it is with sine waves. A common way to  
describe dynamic signal wave shapes is Crest Factor. The  
crestfactoristheratioofthepeakvaluerelativetotheRMS  
value of a waveform. A signal with a crest factor of 4, for  
instance, has a peak that is four times its RMS value.  
Thistopologyisinherentlymorestableandlinearthanlog/  
antilogimplementationsprimarilybecauseallofthesignal  
processing occurs in circuits with high gain op amps  
operating closed loop.  
More detail of the LTC1967 inner workings is shown in the  
Simplified Schematic towards the end of this data sheet.  
INPUT CIRCUITRY  
IDEAL  
RMS-TO-DC  
CONVERTER  
OUTPUT CIRCUITRY  
• V  
• V  
INPUT  
OUTPUT  
IOS  
OOS  
• INPUT NONLINEARITY  
• OUTPUT NONLINEARITY  
1967 F05  
Figure 5. Linearity Model of an RMS-to-DC Converter  
1967f  
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LTC1967  
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lowestfrequencysignalsofinterest.Forasingleaveraging  
capacitor, the accuracy at low frequencies is depicted in  
Figure 6.  
Because this peak has energy (proportional to voltage  
squared)thatis16times(42)theenergyoftheRMSvalue,  
the peak is necessarily present for at most 6.25% (1/16)  
of the time.  
Figure 6 depicts the so-called “DC error” that results at a  
given combination of input frequency and filter capacitor  
values2. It is appropriate for most applications, in which  
theoutputisfedtoacircuitwithaninherentlyband-limited  
frequency response, such as a dual slope/integrating A/D  
converter,aΣA/Dconverterorevenamechanicalanalog  
meter.  
The LTC1967 performs very well with crest factors of 4 or  
less and will respond with reduced accuracy to signals  
with higher crest factors. The high performance with crest  
factors less than 4 is directly attributable to the high  
linearity throughout the LTC1967.  
However,iftheoutputisexaminedonanoscilloscopewith  
a very low frequency input, the incomplete averaging will  
be seen, and this ripple will be larger than the error  
depicted in Figure 6. Such an output is depicted in  
Figure 7. The ripple is at twice the frequency of the input  
DESIGN COOKBOOK  
The LTC1967 RMS-to-DC converter makes it easy to  
implement a rather quirky function. For many applications  
all that will be needed is a single capacitor for averaging,  
appropriate selection of the I/O connections and power  
supply bypassing. Of course, the LTC1967 also requires  
power. A wide variety of power supply configurations are  
shown in the Typical Applications section towards the end  
of this data sheet.  
2This frequency-dependent error is in additon to the static errors that affect all readings and are  
therefore easy to trim or calibrate out. The “Error Analyses” section to follow discusses the effect  
of static error terms.  
ACTUAL OUTPUT  
WITH RIPPLE  
IDEAL  
OUTPUT  
f = 2 × f  
INPUT  
DC  
PEAK  
RIPPLE  
(5%)  
ERROR  
Capacitor Value Selection  
(0.05%)  
The RMS or root-mean-squared value of a signal, the root  
of the mean of the square, cannot be computed without  
someaveragingtoobtainthemeanfunction.TheLTC1967  
true RMS-to-DC converter utilizes a single capacitor on  
the output to do the low frequency averaging required for  
RMS-to-DC conversion. To give an accurate measure of a  
dynamic waveform, the averaging must take place over a  
sufficiently long interval to average, rather than track, the  
DC  
PEAK  
AVERAGE  
OF ACTUAL  
OUTPUT  
ERROR =  
DC ERROR +  
PEAK RIPPLE  
(5.05%)  
TIME  
1967 F07  
Figure 7. Output Ripple Exceeds DC Error  
0
–0.2  
C = 10µF  
C = 22µF  
–0.4  
C = 4.7µF  
–0.6  
–0.8  
–1.0  
C = 2.2µF  
C = 1µF  
C = 0.47µF  
C = 0.22µF  
C = 0.1µF  
–1.2  
–1.4  
–1.6  
–1.8  
–2.0  
1
10  
100  
INPUT FREQUENCY (Hz)  
1967 F06  
Figure 6. DC Error vs Input Frequency  
1967f  
10  
LTC1967  
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APPLICATIO S I FOR ATIO  
U
0
–0.2  
–0.4  
–0.6  
–0.8  
–1.0  
–1.2  
–1.4  
–1.6  
–1.8  
–2.0  
C = 100µF  
C = 47µF  
C = 22µF  
C = 10µF  
C = 4.7µF  
C = 2.2µF  
C = 1µF  
1
10  
INPUT FREQUENCY (Hz)  
100  
1967 F08  
Figure 8. Peak Error vs Input Frequency with One Cap Averaging  
because of the computation of the square of the input. The  
typicalvaluesshown,5%peakripplewith0.05%DCerror,  
occur with CAVE = 1.5µF and fINPUT = 10Hz.  
it can aggravate the effects discussed in the previous  
section. If a ceramic capacitor is used, it may be neces-  
sary to use a much higher nominal value in order to  
assure the low frequency accuracy desired.  
IftheapplicationcallsfortheoutputoftheLTC1967tofeed  
a sampling or Nyquist A/D converter (or other circuitry  
that will not average out this double frequency ripple) a  
larger averaging capacitor can be used. This trade-off is  
depicted in Figure 8. The peak ripple error can also be  
reduced by additional lowpass filtering after the LTC1967,  
but the simplest solution is to use a larger averaging  
capacitor.  
Another parasitic of ceramic capacitors is leakage, which  
is again dependent on voltage and particularly tempera-  
ture. If the leakage is a constant current leak, the I • R drop  
of the leak multiplied by the output impedance of the  
LTC1967willcreateaconstantoffsetoftheoutputvoltage.  
If the leak is Ohmic, the resistor divider formed with the  
LTC1967 output impedance will cause a gain error. For  
<0.1% gain accuracy degradation, the parallel impedance  
of the capacitor leakage will need to be >1000 times the  
LTC1967 output impedance. Accuracy at this level can be  
hard to achieve with a ceramic capacitor, particularly with  
a large value of capacitance and at high temperature.  
A 2.2µF capacitor is a good choice for many applications.  
The peak error at 50Hz/60Hz will be <1% and the DC error  
will be <0.1% with frequencies of 10Hz or more.  
Note that both Figure 6 and Figure 8 assume AC-coupled  
waveforms with a crest factor less than 2, such as sine  
waves or triangle waves. For higher crest factors and/or  
AC + DC waveforms, a larger CAVE will generally be  
required. See “Crest Factor and AC + DC Waveforms.”  
For critical applications, a film capacitor, such as metal-  
ized polyester, will be a much better choice. Although  
more expensive, and larger for a given value, the value  
stability and low leakage make metal-film capacitors a  
trouble-free choice.  
Capacitor Type Selection  
With any type of capacitor, the self-resonance of the  
capacitor can be an issue with the switched capacitor  
LTC1967. If the self-resonant frequency of the averaging  
capacitor is 1MHz or less, a second smaller capacitor  
should be added in parallel to reduce the impedance seen  
by the LTC1967 output stage at high frequencies. A  
capacitor 100 times smaller than the averaging capacitor  
willtypicallybesmallenoughtobealowcostceramicwith  
The LTC1967 can operate with many types of capacitors.  
The various types offer a wide array of sizes, tolerances,  
parasitics, package styles and costs.  
Ceramicchipcapacitorsofferlowcostandsmallsize, but  
are not recommended for critical applications. The value  
stability over voltage and temperature is poor with many  
types of ceramic dielectrics. This will not cause an RMS-  
to-DCaccuracyproblemexceptatlowfrequencies,where  
a high quality dielectric such as X7R or NPO/COG.  
1967f  
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Input Connections  
work well with dual supply configurations, but in single  
supply configurations it will be necessary to raise the volt-  
age on the grounded input to assure that the signal at the  
active input stays within the range of 0V to V+. If there is  
already a suitable voltage reference available, connect the  
second input to that point. If not, a midsupply voltage can  
be created with two resistors as shown in Figure 9b.  
The LTC1967 input is differential and DC coupled. The  
LTC1967 responds to the RMS value of the differential  
voltage between Pin 2 and Pin 3, including the DC portion  
of that difference. However, there is no DC-coupled path  
fromtheinputstoground.Therefore,atleastoneofthetwo  
inputsmustbeconnectedwithaDC-returnpathtoground.  
Finally, if the input voltage is known to be between 0V and  
V+, it can be AC coupled by using the configuration shown  
in Figure 9c. Whereas the DC return path was provided  
through Pin 3 in Figures 9a and 9b, in this case, the return  
path is provided on Pin 2, through the input signal volt-  
ages. Theswitchedcapacitoractionbetweenthetwoinput  
pins of the LTC1967 will cause the voltage on the coupling  
capacitor connected to the second input to follow the DC  
average of the input voltage.  
Both inputs must be connected to something. If either  
input is left floating, a zero volt output will result.  
For single-ended DC-coupled applications, simply con-  
nect one of the two inputs (they are interchangeable) to  
the signal, and the other to ground. This will work well for  
dual supply configurations, but for single supply con-  
figurations it will only work well for unipolar input sig-  
nals.TheLTC1967inputvoltagerangeisfromrail-to-rail,  
and when the input is driven above V+ or below GND the  
gainandoffseterrorswillincreasesubstantiallyafterjust  
a few hundred millivolts of overdrive. Fortunately, most  
single supply circuits measuring a DC-coupled RMS  
value will include some reference voltage other than  
ground, andthesecondLTC1967inputcanbeconnected  
to that point.  
Fordifferentialinputapplications,connectthetwoinputsto  
the differential signal. If AC coupling is desired, one of the  
two inputs can be connected through a series capacitor.  
In all of these connections, to choose the input coupling  
capacitor, CC, calculate the low frequency coupling time  
constant desired, and divide by the LTC1967 differential  
input impedance. Because the LTC1967 input impedance  
is about 100 times its output impedance, this capacitor is  
typically much smaller than the output averaging capaci-  
tor. Its requirements are also much less stringent, and a  
ceramic chip capacitor will usually suffice.  
Forsingle-endedAC-coupledapplications,Figure9shows  
three alternate topologies. The first one, shown in Figure  
9a uses a coupling capacitor to one input while the other  
isgrounded.ThiswillremovetheDCvoltagedifferencefrom  
the input to the LTC1967, and it will therefore not be part  
of the resulting output voltage. Again, this connection will  
+
+
+
V
V
V
C
C
C
C
LTC1967  
IN1  
IN2  
LTC1967  
IN1  
IN2  
LTC1967  
IN1  
IN2  
2
3
2
3
2
3
V
IN  
V
V
IN  
IN  
+
GND  
1967 F07  
+
V
C
C
DC  
V
V
R1  
20k  
R2  
20k  
(9b)  
(9c)  
(9a)  
Figure 9. Single-Ended AC-Coupled Input Connection Alternatives  
1967f  
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LTC1967  
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U
Output Connections  
Forlaboratoryevaluation,itmaysufficetouseabench-top  
DMM with the ability to disconnect the 10Mshunt.  
The LTC1967 output is differentially, but not symmetri-  
cally, generated. That is to say, the RMS value that the  
LTC1967computeswillbegeneratedontheoutput(Pin5)  
relative to the output return (Pin 6), but these two pins are  
not interchangeable. For most applications, Pin 6 will be  
tied to ground (Pin 1). However, Pin 6 can be tied to any  
voltage between 0V and V+ (Pin 7) less the maximum  
output voltage swing desired. This last restriction keeps  
VOUT itself (Pin 5) within the range of 0V to V+. If a  
reference level other than ground is used, it should be a  
low impedance, both AC and DC, for proper operation of  
the LTC1967.  
If you are still having trouble, it may be helpful to skip  
ahead a few pages and review the Troubleshooting Guide.  
What About Response Time?  
With a large value averaging capacitor, the LTC1967 can  
easily perform RMS-to-DC conversion on low frequency  
signals. It compares quite favorably in this regard to prior-  
generation products because nothing about the ∆Σ  
circuitry is temperature sensitive. So the RMS result  
doesn’t get distorted by signal driven thermal fluctuations  
like a log-antilog circuit output does.  
In any configuration, the averaging capacitor should be  
connected between Pins 5 and 6. The LTC1967 RMS-DC  
output will be a positive voltage created at VOUT (Pin 5)  
with respect to OUT RTN (Pin 6).  
However, using large value capacitors results in a slow  
response time. Figure 10 shows the rising and falling step  
responses with a 1µF averaging capacitor. Although they  
both appear at first glance to be standard exponential-  
decay type settling, they are not. This is due to the  
nonlinear nature of an RMS-to-DC calculation. Also note  
the change in the time scale between the two; the rising  
edge is more than twice as fast to settle to a given  
accuracy. Again this is a necessary consequence of RMS-  
to-DC calculation.3  
Power Supply Bypassing  
The LTC1967 is a switched capacitor device, and large  
transient power supply currents will be drawn as the  
switching occurs. For reliable operation, standard power  
supply bypassing must be included. A 0.01µF capacitor  
from V+ (Pin 7) to GND (Pin 1) located close to the device  
will suffice. If there is a good quality ground plane avail-  
able, the capacitors can go directly to that instead. Power  
supply bypass capacitors can, of course, be inexpensive  
ceramic types.  
Although shown with a step change between 0mV and  
100mV, the same response shapes will occur with the  
LTC1967 for ANY step size. This is in marked contrast to  
priorgenerationlog/antilogRMS-to-DCconverters,whose  
averaging time constants are dependent on the signal  
level, resulting in excruciatingly long waits for the output  
to go to zero.  
Up and Running!  
If you have followed along this far, you should have the  
LTC1967 up and running by now! Don’t forget to enable  
thedevicebygroundingPin8, ordrivingitwithalogiclow.  
The shape of the rising and falling edges will be dependent  
onthetotalpercentchangeinthestep,butforlessthanthe  
100% changes shown in Figure 10, the responses will be  
less distorted and more like a standard exponential decay.  
For example, when the input amplitude is changed from  
Keep in mind that the LTC1967 output impedance is fairly  
high, and that even the standard 10Minput impedance  
ofadigitalmultimeter(DMM)ora10×scopeprobewillload  
down the output enough to degrade its typical gain error  
of 0.1%. In the end application circuit, either a buffer or  
another component with an extremely high input imped-  
ance(suchasadualslopeintegratingADC)shouldbeused.  
3 To convince oneself of this necessity, consider a pulse train of 50% duty cycle between 0mV and  
100mV. At very low frequencies, the LTC1967 will essentially track the input. But as the input  
frequency is increased, the average result will converge to the RMS value of the input. If the rise and  
fall characteristics were symmetrical, the output would converge to 50mV. In fact though, the RMS  
value of a 100mV DC-coupled 50% duty cycle pulse train is 70.71mV, which the asymmetrical rise  
and fall characteristics will converge to as the input frequency is increased.  
1967f  
13  
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100mV to 110mV (+10%) and back (–10%), the step  
responses are essentially the same as a standard expo-  
nential rise and decay between those two levels. In such  
cases, the time constant of the decay will be in between  
that of the rising edge and falling edge cases of Figure 10.  
Therefore, the worst case is the falling edge response as  
it goes to zero, and it can be used as a design guide.  
But with 100µF, the settling time to even 10% is a full 20  
seconds, which is a long time to wait. What can be done  
about such a design? If the reason for choosing 100µF is  
to keep the DC error with a 100mHz input less than 0.1%,  
the answer is: not much. The settling time to 1% of 32  
seconds is just 3.2 cycles of this extremely low frequency.  
Averaging very low frequency signals takes a long time.  
Figure 11 shows the settling accuracy vs settling time for  
a variety of averaging capacitor values. If the capacitor  
value previously selected (based on error requirements)  
gives an acceptable settling time, your design is done.  
However, if the reason for choosing 100µF is to keep the  
peak error with a 10Hz input less than 0.1%, there is  
another way to achieve that result with a much improved  
settling time.  
120  
120  
C
AVE  
= 1µF  
C
AVE  
= 1µF  
100  
100  
80  
60  
80  
60  
40  
20  
0
40  
20  
0
0
0.05  
0.1  
0.15  
0.2  
0.25  
0
0.1  
0.2  
0.3  
0.4  
0.5  
TIME (SEC)  
TIME (SEC)  
1967 F10a  
1967 F10b  
Figure 10b. LTC1967 Falling Edge with CAVE = 1µF  
Figure 10a. LTC1967 Rising Edge with CAVE = 1µF  
10  
C = 0.1µF  
C = 0.22µF C = 0.47µF C = 1µF  
C = 2.2µF  
C = 4.7µF  
C = 10µF  
C = 22µF  
C = 47µF  
C = 100µF  
1
0.1  
0.01  
0.1  
1
10  
100  
SETTLING TIME (SEC)  
1966 F12  
Figure 11. Settling Time with One Cap Averaging  
1967f  
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U
Reducing Ripple with a Post Filter  
concern. To do this, tie all three ground symbols shown in  
Figure 12 to the signal reference, as well as to the differ-  
ential return for the circuitry that follows.  
The output ripple is always much larger than the DC error,  
so filtering out the ripple can reduce the peak error  
substantially, without the large settling time penalty of  
simply increasing the averaging capacitor.  
Figure 13 shows an alternative 2nd order post filter, for a  
net 3rd order filtering of the LTC1967 RMS calculation. It  
also uses the 50koutput impedance of the LTC1967 as  
the first resistor of a 3rd order active-RC filter, but this  
topology filters without buffering so that the op amp DC  
errorcharacteristics do not affectthe output. Althoughthe  
outputimpedanceoftheLTC1967isincreasedfrom50kΩ  
to 168k, this is not an issue with an extremely high input  
impedance load, such as a dual-slope integrating ADC like  
the ICL7106. And it allows a generic op amp to be used,  
such as the SOT-23 one shown. Furthermore, it easily  
works on a single supply rail by tying the noninverting  
input of the op amp to a low noise reference as optionally  
shown.ThisreferencewillnotchangetheDCvoltageatthe  
circuit output, although it does become the AC ground for  
the filter, thus the (relatively) low noise requirement.  
Figure 12 shows a basic 2nd order post filter, for a net 3rd  
order filtering of the LTC1967 RMS calculation. It uses the  
50koutput impedance of the LTC1967 as the first resis-  
torofa3rdorderSallen-Keyactive-RCfilter. Thistopology  
features a buffered output, which can be desirable de-  
pending on the application. However, there are disadvan-  
tages to this topology, the first of which is that the op amp  
inputvoltageandcurrenterrorsdirectlydegradetheeffec-  
tive LTC1967 VOOS. The table inset in Figure 12 shows  
these errors for four of Linear Technology’s op amps.  
A second disadvantage is that the op amp output has to  
operateoverthesamerangeastheLTC1967output,includ-  
ingground,whichinsinglesupplyapplicationsisthenega-  
tivesupply.AlthoughtheLTC1967outputwillfunctionfine  
justmillivoltsfromtherail,mostopampoutputstages(and  
evensomeinputstages)willnot.Thereareatleasttwoways  
toaddressthis.Firstofall,theopampcanbeoperatedsplit  
supply if a negative supply is available. Just the op amp  
would need to do so; the LTC1967 can remain single sup-  
ply. Asecondwaytoaddressthisissueistocreateasignal  
referencevoltageahalfvoltorsoaboveground.Thisismost  
attractive when the circuitry that follows has a differential  
input, so that the tolerance of the signal reference is not a  
Step Responses with a Post Filter  
B
oth of the post filters, shown in Figures 12 and 13, are  
optimized for additional filtering with clean step re-  
sponses. The 50koutput impedance of the LTC1967  
workingintoa2.2µFcapacitorformsa1storderLPFwith  
a –3dB frequency of ~1.45Hz. The two filters have 2.2µF  
at the LTC1967 output for easy comparison with a  
2.2µF-only case, and both have the same relative Bessel-  
like shape. However, because of the topological differ-  
ences of pole placements between the various compo-  
nents within the two filters, the net effective bandwidth  
for Figure 12 is slightly higher (1.2 • 1.45 1.7Hz) than  
with 2.2µF alone, while the bandwidth for Figure 13 is  
C1  
2.2µF  
R
B
+
R1  
23.2k  
R2  
102k  
LT1880  
5
6
R1  
118k  
5
LTC1967  
C
C2  
0.22µF  
AVE  
2.2µF  
LTC1967  
C
C1  
0.47µF  
C2  
0.47µF  
AVE  
R2  
402k  
6
2.2µF  
OP AMP  
LT1494 LT1880 LT1077 LTC2054  
LTC1967 V  
±500µV  
OOS  
OTHER  
REF VOLTAGE,  
SEE TEXT  
V
±375µV ±150µV ±60µV  
±43µV ±195µV ±329µV ±52µV  
TOTAL OFFSET ±918µV ±845µV ±889µV ±555µV  
±3µV  
IOS  
LT1782  
I
• R  
+
B/OS  
R
VALUE  
174k  
1µA  
SHORT  
1.2mA  
174k  
48µA  
SHORT  
150µA  
B
I
SQ  
1067 F13  
1967 F12  
Figure 12. Buffered Post Filter  
Figure 13. DC Accurate Post Filter  
1967f  
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APPLICATIO S I FOR ATIO  
somewhat lower (0.7 • 1.45 1Hz) than with 2.2µF  
alone. To adjust the bandwidth of either of them, simply  
scale all the capacitors by a common multiple, and leave  
the resistors unchanged.  
Figure15showsthestepresponseofthesamethreecases  
withaburstof60Hzratherthan10Hz.With60Hz,theinitial  
portion of the step response is free of the boost seen in  
Figure 14 and the two post-filter responses have less than  
1% overshoot. The 2.2µF-only case still has noticeable  
120Hz ripple, but both filters have removed all detectable  
ripple on this scale. This is to be expected; the first order  
filter will reduce the ripple about 6:1 for a 6:1 change in  
frequency, while the third order filters will reduce the  
ripple about 63:1 or 216:1 for a 6:1 change in frequency.  
The step responses of the LTC1967 with 2.2µF-only and  
with the two post filters are shown in Figure 14. This is the  
rising edge RMS output response to a 10Hz input starting  
at t = 0. Although the falling edge response is the worst  
case for settling, the rising edge illustrates the ripple that  
these post filters are designed to address, so the rising  
edge makes for a better intuitive comparison.  
Again, the two filter topologies have the same relative  
shape, so the step response and ripple filtering trade-offs  
of the two are the same, with the same performance of  
each possible with the other by scaling it accordingly.  
Figures 16 and 17 show the peak error vs. frequency for a  
selection of capacitors for the two different filter topolo-  
gies. To keep the clean step response, scale all three  
capacitors within the filter. Scaling the buffered topology  
of Figure 12 is simple because the capacitors are in a  
10:1:10 ratio. Scaling the DC accurate topology of Figure  
14canbedonewithstandardvaluecapacitors;onedecade  
of scaling is shown in Table 2.  
TheinitialriseoftheLTC1967willhaveenhancedslewrates  
with DC and very low frequency inputs due to saturation  
effectsintheΣmodulator.ThisisseeninFigure14intwo  
ways.First,the2.2µF-onlyoutputisseentoriseveryquickly  
in the first 40ms. The second way this effect shows up is  
thatthepostfilteroutputshaveamodestovershoot,onthe  
order of 3mV to 4mV, or 3% to 4%. This is only an issue  
with input frequency bursts at 50Hz or less, and even with  
the overshoot, the settling to a given level of accuracy  
improves due to the initial speedup.  
As predicted by Figure 6, the DC error with 2.2µF is well  
under 1mV and is not noticeable at this scale. However, as  
predicted by Figure 8, the peak error with the ripple from  
a10Hzinputismuchlarger,inthiscaseabout5mV.Ascan  
be clearly seen, the post filters reduce this ripple. Even the  
wider bandwidth of Figure 12’s filter is seen to cut the  
ripple down substantially (to <1mV) while the settling to  
1%happensfaster.WiththenarrowerbandwidthofFigure  
14’s filter, the step response is somewhat slower, but the  
double frequency output ripple is just 150µV.  
Table 2: One Decade of Capacitor Scaling for Figure 13 with EIA  
Standard Values  
C
C = C =  
1 2  
AVE  
1µF  
0.22µF  
0.33µF  
0.47µF  
0.68µF  
1µF  
1.5µF  
2.2µF  
3.3µF  
4.7µF  
6.8µF  
1.5µF  
200mV/  
DIV  
200mV/  
DIV  
INPUT  
BURST  
INPUT  
BURST  
2.2µF ONLY  
FIGURE 12  
FIGURE 13  
2.2µF ONLY  
FIGURE 12  
FIGURE 13  
STEP  
RESPONSE  
20mV/  
DIV  
20mV/  
DIV  
STEP  
RESPONSE  
1967 F15  
1967 F14  
100ms/DIV  
100ms/DIV  
Figure 15. Step Responses with 60Hz Burst  
Figure 14. Step Responses with 10Hz Burst  
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U
0
–0.2  
–0.4  
–0.6  
–0.8  
–1.0  
–1.2  
–1.4  
–1.6  
–1.8  
–2.0  
C = 22µF  
C = 10µF  
C = 4.7µF  
C = 2.2µF  
C = 1µF  
C = 0.47µF  
C = 0.22µF  
1
10  
INPUT FREQUENCY (Hz)  
100  
1967 F16  
Figure 16. Peak Error vs Input Frequency with Buffered Post Filter  
0
–0.2  
–0.4  
–0.6  
–0.8  
–1.0  
–1.2  
–1.4  
–1.6  
–1.8  
–2.0  
C = 10µF  
C = 4.7µF  
C = 2.2µF  
C = 1µF  
C = 0.47µF  
C = 0.22µF  
C = 0.1µF  
1
10  
INPUT FREQUENCY (Hz)  
100  
1967 F17  
Figure 17. Peak Error vs Input Frequency with DC-Accurate Post Filter  
Figures 18 and 19 show the settling time versus settling  
accuracy for the Buffered and DC accurate post filters,  
respectively. The different curves represent different  
scalingsofthefilters,asindicatedbytheCAVE value.These  
arecomparabletothecurvesinFigure11(singlecapacitor  
case), with somewhat less settling time for the buffered  
post filter, and somewhat more settling time for the  
DC-accurate post filter. These differences are due to the  
change in overall bandwidth as mentioned earlier.  
Crest Factor and AC + DC Waveforms  
In the preceding discussion, the waveform was assumed  
to be AC coupled, with a modest crest factor. Both  
assumptions ease the requirements for the averaging  
capacitor. With an AC-coupled sine wave, the calculation  
engine squares the input, so the averaging filter that  
follows is required to filter twice the input frequency,  
making its job easier. But with a sinewave that includes  
DC offset, the square of the input has frequency content  
at the input frequency and the filter must average out that  
lower frequency. So with AC + DC waveforms, the re-  
quiredvalueforCAVE shouldbebasedonhalfofthelowest  
input frequency, using the same design curves presented  
in Figures 6, 8, 16 and 17.  
Although the settling times for the post-filtered configura-  
tions shown on Figures 18 and 19 are not that much  
different from those with a single capacitor, the point of  
using a post filter is that the settling times are far better for  
a given level peak error. The filters dramatically reduce the  
low frequency averaging ripple with far less impact on  
settling time.  
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10  
C = 220µF  
C = 0.1µF  
C = 0.22µF C = 0.47µF C = 1µF  
C = 2.2µF  
C = 4.7µF  
C = 10µF  
C = 22µF  
C = 47µF  
C = 100µF  
1
0.1  
0.01  
0.1  
1
10  
100  
SETTLING TIME (SEC)  
1967 F18  
Figure 18. Settling Time with Buffered Post Filter  
10  
C = 220µF  
C = 22µF  
C = 0.1µF  
C = 0.22µF C = 0.47µF C = 1µF  
C = 2.2µF  
C = 4.7µF  
C = 10µF  
C = 47µF  
C = 100µF  
1
0.1  
0.01  
0.1  
1
10  
100  
SETTLING TIME (SEC)  
1967 F19  
Figure 19. Settling Time with DC-Accurate Post Filter  
Crest factor, which is the peak to RMS ratio of a dynamic  
signal, also effects the required CAVE value. With a higher  
crestfactor,moreoftheenergyinthesignalisconcentrated  
into a smaller portion of the waveform, and the averaging  
has to ride out the long lull in signal activity. For busy  
waveforms, such as a sum of sine waves, ECG traces or  
SCR-chopped sine waves, the required value for CAVE  
shouldbebasedonthelowestfundamentalinputfrequency  
divided as such:  
f
INPUT(MIN)  
fDESIGN  
=
6 • CF – 2  
The effects of crest factor and DC offsets are cumulative.  
So for example, a 10% duty cycle pulse train from 0VPEAK  
to 1VPEAK (CF = 10 = 3.16) repeating at 16.67ms (60Hz)  
inputiseffectivelyonly30HzduetotheDCasymmetryand  
is effectively only:  
30  
fDESIGN  
=
= 3.78Hz  
f
INPUT(MIN)  
fDESIGN  
=
6 • 3.16 – 2  
3• CF – 2  
for the purposes of Figures 6, 8, 16 and 17.  
using the same design curves presented in Figures 6, 8,  
16 and 17. For the worst case of square top pulse trains,  
that are always either zero volts or the peak voltage, base  
the selection on the lowest fundamental input frequency  
divided by twice as much:  
Obviously, theeffectofcrestfactorissomewhatsimplified  
above given the factor of two difference based on a  
subjective description of the waveform type. The results  
will vary somewhat based on actual crest factor and  
1967f  
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APPLICATIO S I FOR ATIO  
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waveform dynamics and the type of filtering used. The  
above method is conservative for some cases and about  
right for others.  
from) the voltage at the output. The conversion gain of the  
LTC1967 is nominally 1.000 VDCOUT/VRMSIN and the gain  
error reflects the extent to which this conversion gain is  
not perfectly unity. Both of these affect the results in a  
fairly obvious way.  
The LTC1967 works well with signals whose crest factor  
is 4 or less. At higher crest factors, the internal ∆Σ  
modulatorwillsaturate,andresultswillvarydependingon  
the exact frequency, shape and (to a lesser extent) ampli-  
tude of the input waveform. The output voltage could be  
higher or lower than the actual RMS of the input signal.  
Input offset on the other hand, despite its conceptual  
simplicity, effects the output in a nonobvious way. As its  
name implies, it is a constant error voltage that adds  
directly with the input. And it is the sum of the input and  
V
IOS that is RMS converted.  
The ∆Σ modulator may also saturate when signals with  
crest factors less than 4 are used with insufficient averag-  
ing. This will only occur when the output droops to less  
than 1/4 of the input voltage peak. For instance, a DC-  
coupled pulse train with a crest factor of 4 has a duty cycle  
of 6.25% and a 1VPEAK input is 250mVRMS. If this input is  
50Hz, repeating every 20ms, and CAVE = 1µF, the output  
will droop during the inactive 93.75% of the waveform.  
This droop is calculated as:  
This means that the effect of VIOS is warped by the  
nonlinear RMS conversion. With 0.2mV (typ) VIOS, and a  
200mVRMS ACinput, theRMScalculationwilladdtheDC  
and AC terms in an RMS fashion and the effect is  
negligible:  
2
2
VOUT = (200mV AC) + (0.2mV DC)  
= 200.0001mV  
= 200mV + 1/2ppm  
INACTIVE TIME  
1– e−  
But with 10× less AC input, the error caused by VIOS is  
100× larger:  
VRMS  
2
2 • Z  
• C  
AVE  
VMIN  
=
OUT  
2
2
VOUT = (20mV AC) + (0.2mV DC)  
For the LTC1967, whose output impedance (ZOUT) is  
50k, this droop works out to 8.54%, so the output  
would be reduced to 229mV at the end of the inactive  
portion of the input. When the input signal again climbs to  
1VPEAK, the peak/output ratio is 4.36.  
= 20.001mV  
= 20mV + 50ppm  
This phenomena, although small, is one source of the  
LTC1967’s residual nonlinearity.  
On the other hand, if the input is DC coupled, the input  
offset voltage adds directly. With +200mV and a +0.2mV  
VIOS, a 200.2mV output will result, an error of 0.1% or  
1000ppm. WithDCinputs, theerrorcausedbyVIOS canbe  
positive or negative depending if the two have the same or  
opposing polarity.  
With CAVE = 10µF, the droop is only 0.929% to 247.7mV  
andthepeak/outputratioisjust4.038, whichtheLTC1967  
has enough margin to handle without error.  
For crest factors less than 3.5, the selection of CAVE as  
previously described should be sufficient to avoid this  
droop and modulator saturation effect. But with crest  
factors above 3.5, the droop should also be checked for  
each design.  
The total conversion error with a sine wave input using the  
typical values of the LTC1967 static errors is computed as  
follows:  
Error Analyses  
2
2
VOUT =((500mVAC) +(0.2mVDC) )1.001+0.1mV  
= 500.600mV  
Once the RMS-to-DC conversion circuit is working, it is  
time to take a step back and do an analysis of the accuracy  
of that conversion. The LTC1967 specifications include  
three basic static error terms, VOOS, VIOS and GAIN. The  
output offset is an error that simply adds to (or subtracts  
= 500mV + 0.120%  
2
2
VOUT = ((50mV AC) + (0.2mV DC) ) • 1.001 + 0.1mV  
= 50.150mV  
= 50mV + 0.301%  
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APPLICATIO S I FOR ATIO  
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2
2
depicted in the Typical Performance Characteristics titled  
Input Signal Bandwidth. Although there is a pattern to the  
response versus frequency that repeats every sample fre-  
quency, the errors are not overwhelming. This is because  
LTC1967 RMS calculation is inherently wideband, operat-  
ing properly with minimal oversampling, or even  
undersampling, using several proprietary techniques to  
exploit the fact that the RMS value of an aliased signal is  
thesameastheRMSvalueoftheoriginalsignal. However,  
a fundamental feature of the ∆Σ modulator is that sample  
estimationnoiseisshapedsuchthatminimalnoiseoccurs  
with input frequencies much less than the sampling fre-  
quency,butsuchnoisepeakswheninputfrequencyreaches  
half the sampling frequency. Fortunately the LTC1967  
output averaging filter greatly reduces this error, but the  
RMS-to-DC topology frequency shifts the noise to low  
(baseband) frequencies. See Output Noise vs Input Fre-  
quency in the Typical Performance Characteristics.  
VOUT = ((5mV AC) + (0.2mV DC) ) • 1.001 + 0.1mV  
= 5.109mV  
= 5mV + 2.18%  
As can be seen, the gain term dominates with large inputs,  
while the offset terms become significant with smaller  
inputs. In fact, 5mV is the minimum RMS level needed to  
keep the LTC1967 calculation core functioning normally,  
so this represents the worst-case of usable input levels.  
Using the worst-case values of the LTC1967 static errors,  
the total conversion error is:  
2
2
V
OUT = ((500mVAC) +(1.5mVDC) )1.003+0.55mV  
= 502.05mV  
= 500mV + 0.41%  
2
2
VOUT =((50mVAC) +(1.5mVDC) )1.003+0.55mV  
= 50.723mV  
= 50mV + 1.45%  
2
2
VOUT = ((5mV AC) + (1.5mV DC) ) • 1.003 + 0.55mV  
Input Impedance  
= 5.786mV  
The LTC1967 true RMS-to-DC converter utilizes a 0.8pF  
capacitor to sample the input at a nominal 500kHz sample  
frequency. This accounts for the 5Minput impedance.  
See Figure 20 for the equivalent analog input circuit. Note  
however, that the 5Minput impedance does not directly  
affect the input sampling accuracy. For instance, if a 62k  
source resistance is used to drive the LTC1967, the  
sampling action of the input stage will drag down the  
voltage seen at the input pins with small spikes at every  
sampleclockedgeasthesamplecapacitorisconnectedto  
be charged. The time constant of this combination is  
small, 0.8pF • 62k= 50ns, and during the 500ns period  
= 5mV + 15.7%  
These static error terms are in addition to dynamic error  
terms that depend on the input signal. See the Design  
CookbookforadiscussionoftheDCconversionerrorwith  
low frequency AC inputs. The LTC1967 bandwidth limita-  
tions cause additional errors with high frequency inputs.  
Another dynamic error is due to crest factor. The LTC1967  
performance versus crest factor is shown in the Typical  
Performance Characteristics.  
Output Errors Versus Frequency  
As mentioned in the design cookbook, the LTC1967 per-  
formsverywellwithlowfrequencyandverylowfrequency  
inputs,providedalargeenoughaveragingcapacitorisused.  
V
DD  
I
IN1  
R
SW  
(TYP)  
2k  
IN1  
C
EQ  
V
IN1 V  
REQ  
IN2  
However,theLTC1967willhaveadditionaldynamicerrors  
as the input frequency is increased. The LTC1967 is de-  
signed for high accuracy RMS-to-DC conversion of sig-  
nals beyond the audible range. The input sampling ampli-  
fiers have a 3dB frequency of 2MHz or so. However, the  
switched capacitor circuitry samples the inputs at a mod-  
est 500kHz nominal. The response versus frequency is  
I IN1  
=
0.8pF  
(TYP)  
(
)
AVG  
AVG  
V
DD  
V
SS  
V
V  
IN1  
IN2  
I
IN2  
I IN2  
(
REQ = 5MΩ  
=
)
R (TYP)  
SW  
2k  
REQ  
IN2  
C
EQ  
0.8pF  
(TYP)  
1967 F20  
V
SS  
Figure 20. LTC1967 Equivalent Analog Input Circuit  
1967f  
20  
LTC1967  
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APPLICATIO S I FOR ATIO  
U
devoted to sampling, ten time constants elapse. This Output Impedance  
allowseachsampletosettletowithin46ppmanditisthese  
The LTC1967 output impedance during operation is simi-  
larly due to a switched capacitor action. In this case, 20pF  
samples that are used to compute the RMS value.  
This is a much higher accuracy than the LTC1967 conver- ofon-chipcapacitanceoperatingat500kHztranslatesinto  
sion limits, and far better than the accuracy computed via 100k. The closed-loop RMS-to-DC calculation cuts that  
the simplistic resistive divider model:  
in half to the nominal 50kspecified.  
In order to create a DC result, a large averaging capacitor  
is required. Capacitive loading and time constants are not  
an issue on the output.  
However, resistive loading is an issue and the 10MΩ  
impedance of a DMM or 10× scope probe will drag the  
output down by –0.5% typ.  
RIN  
V = VSOURCE  
IN  
RIN +RSOURCE  
5MΩ  
5M+62kΩ  
= VSOURCE  
During shutdown, the switching action is halted and a  
fixed 50k resistor shunts VOUT to OUT RTN so that CAVE is  
discharged.  
= VSOURCE – 1.25%  
Interfacing with an ADC  
The LTC1967 output impedance and the RMS averaging  
ripple need to be considered when using an analog-to-  
digital converter (ADC) to digitize the LTC1967 RMS  
result.  
This resistive divider calculation does give the correct  
model of what voltage is seen at the input terminals by a  
parallel load averaged over a several clock cycles, which is  
what a large shunt capacitor will do—average the current  
spikes over several clock cycles.  
The simplest configuration is to connect the LTC1967  
directly to the input of a type 7106/7136 ADC as shown in  
Figure 21a. These devices are designed specifically for  
DVM/DPM use and include display drivers for a 3 1/2 digit  
LCD segmented display. Using a dual-slope conversion,  
theinputissampledoveralongintegrationwindow,which  
results in rejection of line frequency ripple when integra-  
tion time is an integer number of line cycles. Finally, these  
parts have an input impedance in the Grange, with  
specified input leakage of 10pA to 20pA. Such a leakage,  
combined with the LTC1967 output impedance, results in  
Whenhighsourceimpedancesareused,caremustbetaken  
to minimize shunt capacitance at the LTC1967 input so as  
not to increase the settling time. Shunt capacitance of just  
0.8pF will double the input settling time constant and the  
error in the above example grows from 46ppm to 0.67%  
(6700ppm). As a consequence, it is important to not try to  
filter the input with large input capacitances unless driven  
by a low impedance. Keep time constant <<500ns.  
When the LTC1967 is driven by op amp outputs, whose  
low DC impedance can be compromised by sharp capaci- just 1µV to 2µV of additional output offset voltage.  
tive load switching, a small series resistor may be added.  
Another type of ADC that has inherent rejection of RMS  
A1kresistorwilleasilysettlewiththe0.8pFinputsampling  
averaging ripple is an oversampling ∆Σ ADC such as the  
capacitor to within 1ppm.  
LTC2420. Its input impedance is 6.5M, but only when it  
Theseareimportantpointstoconsiderbothduringdesign is sampling. Since this occurs only half the time at most,  
anddebug.Duringlabdebug,andevenproductiontesting, if it directly loads the LTC1967, a gain error of –0.32% to  
a high value series resistor to any test point is advisable. –0.43% results. In fact, the LTC2420 DC input current is  
1967f  
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APPLICATIO S I FOR ATIO  
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SYSTEM CALIBRATION  
LTC1967  
7106 TYPE  
5
6
31  
30  
OUTPUT  
IN HI  
The LTC1967 static accuracy can be improved with end-  
system calibration. Traditionally, calibration has been  
done at the factory, or at a service depot only, typically  
using manually adjusted potentiometers. Increasingly,  
systems are being designed for electronic calibration  
where the accuracy corrections are implemented in digital  
code wherever possible, and with calibration DACs where  
necessary. Additionally, many systems are now designed  
for self calibration, in which the calibration occurs inside  
the machine, automatically without user intervention.  
C
AVE  
OUT RTN  
IN LO  
1967 F21a  
Figure 21a. Interfacing to DVM/DPM ADC  
LTC1967  
LTC2420  
V SDO  
IN  
5
6
3
4
OUTPUT  
OUT RTN  
SERIAL  
DATA  
C
AVE  
GND SCK  
CS  
1967 F21b  
DIGITALLY CORRECT  
LOADING ERRORS  
Whatever calibration scheme is used, the linearity of the  
LTC1967 will improve the calibrated accuracy over that  
achievablewitholderlog/antilogRMS-to-DCconverters.  
Additionally, calibration using DC reference voltages are  
essentially as accurate with the LTC1967 as those using  
ACreferencevoltages.Olderlog/antilogRMS-to-DCcon-  
vertersrequirednonlinearinputstages(rectifiers)whose  
linearity would typically render DC-based calibration  
unworkable.  
Figure 21b. Interfacing to LTC2420  
not zero at 0V, but rather at one half its reference, so both  
an output offset and a gain error will result. These errors  
will vary from part to part, but with a specific LTC1967 and  
LTC2420combination,theerrorswillbefixed,varyingless  
than ±0.05% over temperature. So a system that has digi-  
tal calibration can be quite accurate despite the nominal  
gain and offset error. With 20 bits of resolution, this part  
is more accurate than the LTC1967, but the extra resolu-  
tion is helpful because it reduces nonlinearity at the LSB  
transitions as a digital gain correction is made. Further-  
more, its small size and ease of use make it attractive.  
The following are four suggested calibration methods.  
Implementations of the suggested adjustments are de-  
pendentonthesystemdesign,butinmanycases,gainand  
output offset can be corrected in the digital domain, and  
will include the effect of all gains and offsets from the  
LTC1967 output through the ADC. Input offset voltage, on  
the other hand, will have to be corrected with adjustment  
to the actual analog input to the LTC1967.  
ThisconnectionisshowninFigure21b,wheretheLTC2420  
issettocontinuouslyconvertbygroundingtheCSpin.The  
gain error will be less if CS is driven at a slower rate,  
however, the rate should either be consistent or at a rate  
lowenoughthattheLTC1967anditsoutputcapacitorhave  
fully settled by the beginning of each conversion, so that  
the loading errors are consistent.  
AC-Only, 1 Point  
The dominant error at full scale will be caused by the gain  
error, and by applying a full-scale sine wave input, this  
error can be measured and corrected for. Unlike older log/  
antilog RMS-to-DC converters, the correction should be  
madeforzeroerroratfullscaletominimizeerrorsthrough-  
out the dynamic range.  
Other types of ADCs sample the input signal once and  
perform a conversion on that one sample. With these  
ADCs (Nyquist ADCs), a post filter will be needed in most  
cases to reduce the peak error with low input frequencies.  
The DC-accurate filter of Figure 13 is attractive from an  
errorstandpoint,butitincreasestheimpedanceattheADC  
input. In most cases, the buffered post filter of Figure 12  
will be more appropriate for use with Nyquist analog-to-  
digital converters.  
The best frequency for the calibration signal is roughly ten  
times the –0.1% DC error frequency. For 1µF, –0.1% DC  
error occurs at 10Hz, so 100Hz is a good calibration  
frequency,althoughanywherefrom60Hzto100Hzshould  
suffice.  
1967f  
22  
LTC1967  
W U U  
APPLICATIO S I FOR ATIO  
U
The trade-off here is that on the one hand, the DC error is  
input frequency dependent, so a calibration signal fre-  
quency high enough to make the DC error negligible  
should be used. On the other hand, as low a frequency as  
can be used is best to avoid attenuation of the calibrated  
AC signal, either from parasitic RC loading or insufficient  
op amp gain. For instance, with a 1kHz calibration signal,  
a 1MHz op amp will typically only have 60dB of open-loop  
gain,soitcouldattenuatethecalibrationsignalafull0.1%.  
–full-scale input can be done by physically inverting the  
voltage or by applying the same +full-scale input to the  
opposite LTC1967 input.  
For an otherwise AC-coupled application, only the gain  
term may be worth correcting for, but for DC-coupled  
applications, the input offset voltage can also be calcu-  
lated and corrected for.  
The calculations of the error terms for a 200mV full-scale  
case are:  
AC-Only, 2 Point  
Reading at 200mV +Reading at – 200mV  
The next most significant error for AC-coupled applica-  
tions will be the effect of output offset voltage, noticeable  
at the bottom end of the input scale. This too can be  
calibrated out if two measurements are made, one with a  
full-scale sine wave input and a second with a sine wave  
input (of the same frequency) at 10% of full scale. The  
trade-off in selecting this second level is that it should be  
small enough that the gain error effect becomes small  
compared to the gain error effect at full scale, while on the  
otherhand,notusingsosmallaninputthattheinputoffset  
voltage becomes an issue.  
Gain =  
400mV  
Reading at – 200mV – Reading at 200mV  
Input Offset =  
2•Gain  
Note: Calculation of and correction for input offset voltage  
are the only way in which the two LTC1967 inputs (IN1,  
IN2) are distinguishable from each other. The calculation  
above assumes the standard definition of offset; that a  
positive offset is the case of a positive voltage error inside  
the device that must be corrected by applying a like  
negative voltage outside. The offset is referred to which-  
ever pin is driven positive for the +full-scale reading.  
The calculations of the error terms for a 200mV full-scale  
case are:  
DC, 3 Point  
Reading at 200mV – Reading at 20mV  
Gain =  
180mV  
One more point is needed with a DC calibration scheme to  
determine output offset voltage: +10% of full scale.  
Reading at 20mV  
Output Offset =  
– 20mV  
The calculation of the input offset is the same as for the  
2-point calibration above, while the gain and output offset  
are calculated for a 200mV full-scale case as:  
Gain  
DC, 2 Point  
DC-basedcalibrationispreferableinmanycasesbecause  
a DC voltage of known, good accuracy is easier to gener-  
ate than such an AC calibration voltage. The only down  
side is that the LTC1967 input offset voltage plays a role.  
It is therefore suggested that a DC-based calibration  
schemecheckatleasttwopoints: ±fullscale.Applyingthe  
Reading at 200mV Reading at 20mV  
Gain =  
180mV  
Output Offset =  
Reading at 200mV +Reading at – 200mV – 400mV Gain  
2
1967f  
23  
LTC1967  
W U U  
U
APPLICATIO S I FOR ATIO  
TROUBLESHOOTING GUIDE  
4. Gain is low by a few percent, along with other screwy  
results.  
Top Ten LTC1967 Application Mistakes  
– Probably tried to use output in a floating, differential  
manner.  
1. Circuit won’t work–Dead On Arrival–no power drawn.  
– Probably forgot to enable the LTC1967 by pulling  
Pin 8 low.  
Solution: Tie Pin 6 to a low impedance. See “Output  
Connections” in the Design Cookbook.  
Solution: Tie Pin 8 to Pin 1.  
GROUND PIN 6  
2. Circuit won’t work, but draws power. Zero or very  
little output, single-ended input application.  
– Probably didn’t connect both input pins.  
LTC1967  
TYPE 7136  
ADC  
5
6
31  
30  
V
HI  
OUT  
Solution: Tie both inputs to something. See “Input  
Connections” in the Design Cookbook.  
OUT RTN  
LO  
1967 TS04  
CONNECT PIN 3  
2
IN1  
5. Offsets perceived to be out of specification because 0V  
in 0V out.  
LTC1967  
3
– The offsets are not specified at 0V in. No RMS-to-  
DCconverterworkswellat0duetoadivide-by-zero  
calculation.  
IN2  
NC  
1967TS02  
Solution: Measure VIOS/VOOS by extrapolating read-  
ings > ±5mVDC.  
3. Screwy results, particularly with respect to linearity  
or high crest factors; differential input application.  
– Probably AC-coupled both input pins.  
6. Linearity perceived to be out of specification particu-  
larly with small input signals.  
– This could again be due to using 0V in as one of the  
measurement points.  
Solution: Make at least one input DC-coupled. See  
“Input Connections” in the Design Cookbook.  
Solution: Check Linearity from 5mVRMS to  
500mVRMS  
.
DC-COUPLE ONE INPUT  
DC-CONNECT ONE INPUT  
The input offset voltage can cause small AC linear  
ityerrorsatlowinputamplitudesaswell.SeeError  
Analyses” section.  
2
2
IN1  
IN1  
Possible Solution: Include a trim for input offset.  
LTC1967  
LTC1967  
3
3
IN2  
IN2  
1967 TS03  
1967f  
24  
LTC1967  
W U U  
APPLICATIO S I FOR ATIO  
U
7. Output is noisy with >50kHz inputs.  
10. Gain is low by 1% or more, no other problems.  
– Probably due to circuit loading. With a DMM or a  
10× scope probe, ZIN = 10M. The LTC1967  
output is 50k, resulting in 0.5% gain error.  
Output impedance is higher with the DC accurate  
post filter.  
– This is a fundamental characteristic of this topol-  
ogy. The LTC1967 is designed to work very well  
with inputs of 20kHz or less. It works okay as high  
as1MHz, but it is limited by aliased ∆Σ noise.  
Solution: Bandwidth limit the input or digitally filter  
the resulting output.  
Solution: Remove the shunt loading or buffer the  
output.  
8. Large errors occur at crest factors approaching, but  
less than 4.  
– Loading can also be caused by cheap averaging  
capacitors.  
– Insufficient averaging.  
Solution: Increase CAVE. See “Crest Factor and AC +  
DC Waveforms” section for discussion of output  
droop.  
Solution: Use a high quality metal film capacitor  
for CAVE  
.
LOADING DRAGS DOWN GAIN  
9. Screwyresults,errors>speclimits,typically1%to5%.  
– High impedance (50k) and high accuracy (0.1%)  
require clean boards! Flux residue, finger grime, etc.  
all wreak havoc at this level.  
mV  
LTC1967  
5
6
Solution: Wash the board.  
DCV  
V
OUT  
50k  
10M  
KEEP BOARD CLEAN  
OUT RTN  
DMM  
IN  
200mV  
RMS  
–0.5%  
LTC1967  
1967 TS10  
1967 TS09  
1967f  
25  
LTC1967  
W
W
SI PLIFIED SCHE ATIC  
+
V
C12  
GND  
C1  
Y1  
Y2  
C2  
IN1  
2nd ORDER Σ MODULATOR  
IN2  
C7  
C3  
C4  
C5  
C9  
OUTPUT  
OUT RTN  
+
+
C
AVE  
C11  
A1  
A2  
C8  
1967 SS  
C6  
C10  
CLOSED  
DURING  
SHUTDOWN  
50k  
BLEED RESISTOR  
FOR C  
EN  
AVE  
TO BIAS CONTROL  
U
TYPICAL APPLICATIO S  
5V Single Supply, Differential,  
Single Supply RMS Current Measurement  
AC-Coupled RMS-to-DC Converter  
+
V
5V  
+
V
IN1  
LTC1967  
LTC1967  
AC CURRENT  
75A MAX  
50Hz TO 400Hz  
AC INPUTS  
PEAK  
DIFFERENTIAL)  
V
V = 4mV /A  
OUT DC RMS  
IN1  
IN2 OUT RTN  
GND EN  
V
DC OUTPUT  
T1  
10Ω  
OUT  
OUT  
C
C
(1V  
AVE  
AVE  
IN2 OUT RTN  
GND EN  
1µF  
1µF  
20k  
20k  
C
C
0.1µF  
1967 TA03  
1967 TA02  
0.1µF  
T1: CR MAGNETICS CR8348-2500-N  
www.crmagnetics.com  
1967f  
26  
LTC1967  
U
TYPICAL APPLICATIO S  
±2.5V Supplies, Single Ended, DC-Coupled  
RMS Noise Measurement  
RMS-to-DC Converter with Shutdown  
0.1µF  
X7R  
2.5V  
2.5V  
VOLTAGE  
NOISE IN  
2.5V  
2V  
+
–2.5V  
1mV  
RMS  
DC  
NOISE  
OFF ON  
V
V
=
–2V  
OUT  
1µV  
+
LTC1967  
+
EN  
V
1k  
1/2  
LTC6203  
IN1  
V
OUT  
100Ω  
C
1µF  
LTC1967  
IN1  
AVE  
DC + AC  
INPUT  
(1V  
IN2 OUT RTN  
GND EN  
V
DC OUTPUT  
OUT  
C
AVE  
)
PEAK  
IN2 OUT RTN  
1967 TA05  
1µF  
–2.5V  
100k  
0.1µF  
GND  
1967 TA04  
–2.5V  
BW 1kHz TO 100kHz  
100Ω  
1.5µF  
–2.5V  
INPUT SENSITIVITY = 1µV  
TYP  
RMS  
U
PACKAGE DESCRIPTIO  
MS8 Package  
8-Lead Plastic MSOP  
(Reference LTC DWG # 05-08-1660)  
0.889 ± 0.127  
(.035 ± .005)  
5.23  
(.206)  
MIN  
3.20 – 3.45  
(.126 – .136)  
3.00 ± 0.102  
(.118 ± .004)  
0.52  
0.65  
(.0256)  
BSC  
0.42 ± 0.038  
(.0165 ± .0015)  
TYP  
(.0205)  
REF  
(NOTE 3)  
8
7 6 5  
RECOMMENDED SOLDER PAD LAYOUT  
3.00 ± 0.102  
(.118 ± .004)  
(NOTE 4)  
4.90 ± 0.152  
(.193 ± .006)  
DETAIL “A”  
0.254  
(.010)  
0° – 6° TYP  
GAUGE PLANE  
1
2
3
4
0.53 ± 0.152  
(.021 ± .006)  
1.10  
(.043)  
MAX  
0.86  
(.034)  
REF  
DETAIL “A”  
0.18  
(.007)  
SEATING  
PLANE  
0.22 – 0.38  
0.127 ± 0.076  
(.009 – .015)  
(.005 ± .003)  
0.65  
(.0256)  
BSC  
TYP  
MSOP (MS8) 0204  
NOTE:  
1. DIMENSIONS IN MILLIMETER/(INCH)  
2. DRAWING NOT TO SCALE  
3. DIMENSION DOES NOT INCLUDE MOLD FLASH, PROTRUSIONS OR GATE BURRS.  
MOLD FLASH, PROTRUSIONS OR GATE BURRS SHALL NOT EXCEED 0.152mm (.006") PER SIDE  
4. DIMENSION DOES NOT INCLUDE INTERLEAD FLASH OR PROTRUSIONS.  
INTERLEAD FLASH OR PROTRUSIONS SHALL NOT EXCEED 0.152mm (.006") PER SIDE  
5. LEAD COPLANARITY (BOTTOM OF LEADS AFTER FORMING) SHALL BE 0.102mm (.004") MAX  
1967f  
Information furnished by Linear Technology Corporation is believed to be accurate and reliable.  
However, no responsibility is assumed for its use. Linear Technology Corporation makes no represen-  
tation that the interconnection ofits circuits as described herein willnotinfringe on existing patentrights.  
27  
LTC1967  
U
TYPICAL APPLICATIO  
Audio Amplitude Compressor  
R5  
5.9k  
ATTENUATE  
+
BY 1/4  
V
LT1256  
9
2
C2  
R2  
1k  
R3  
7.5k  
0.47µF  
A1  
1
+
V
R15  
IN  
R1  
100k  
R4  
2.49k  
C1  
47nF  
47Ω  
8
7
V
OUT  
14  
+
A2  
GAIN OF 4  
13  
+
V
V
V
R
R
V
FS  
C
C
5
FS  
R13  
3.3k  
3
10  
12  
ATTENUATION CONTROL  
R14  
3.3k  
C3  
0.1µF  
R8  
15k  
R9  
10k  
R6  
2k  
R7  
5.9k  
+
+
V
V
V
DD  
R10  
200k  
R12  
10k  
0.1µF  
LT1636  
LTC1967  
IN1  
OUT RTN IN2  
+
V
OUT  
C5  
0.22µF  
C4  
0.33µF  
V
V
S
= ±5V  
GND EN  
1967 TA07  
RELATED PARTS  
PART NUMBER  
LT®1077  
DESCRIPTION  
Micropower, Single Supply Precision Op Amp  
COMMENTS  
48µA I , 60µV V  
, 450pA I  
OS(MAX)  
SY  
OS(MAX)  
LT1175-5  
LT1494  
Negative, –5V Fixed, Micropower LDO Regulator  
1.5µA Max, Precision Rail-to-Rail I/O Op Amp  
General Purpose SOT-23 Rail-to-Rail Op Amp  
SOT-23 Rail-to-Rail Output Precision Op Amp  
Zero Drift Op Amp in SOT-23  
45µA I , Available in SO-8 or SOT-223  
Q
375µV V  
, 100pA I  
OS(MAX) OS(MAX)  
LT1782  
40µA I , 800µV V  
, 2nA I  
OS(MAX) OS(MAX)  
SY  
LT1880  
1.2mA I , 150µV V  
, 900pA I  
OS(MAX)  
SY  
OS(MAX)  
, 150pA I  
OS(MAX) B(MAX)  
LTC2054  
150µA I , 3µV V  
SY  
LT2178/LT2178A  
LTC1966  
17µA Max, Single Supply Precision Dual Op Amp  
Precision Micropower ∆Σ RMS-to-DC Converter  
2-Channel, 24-bit, Micropower, No Latency ∆ΣTM ADC  
20-bit, Micropower, No Latency ∆Σ ADC in SO-8  
2-Channel, 20-bit, Micropower, No Latency ∆Σ ADC  
14µA I , 120µV V  
, 350pA I  
SY  
OS(MAX) OS(MAX)  
155µA I  
SY  
LTC2402  
200µA I , 4ppm INL, 10ppm TUE  
SY  
LTC2420  
200µA I , 8ppm INL, 16ppm TUE  
SY  
LTC2422  
Dual channel version of LTC2420  
No Latency ∆Σ is a trademark of Linear Technology Corporation.  
1967f  
LT/TP 0504 1K • PRINTED IN USA  
LinearTechnology Corporation  
1630 McCarthy Blvd., Milpitas, CA 95035-7417  
28  
(408) 432-1900 FAX: (408) 434-0507 www.linear.com  
LINEAR TECHNOLOGY CORPORATION 2004  

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