AN-1374: ADE7912/ADE7913 Front-End DSP Specifications (Rev. 0) PDF

AN-1374
APPLICATION NOTE
One Technology Way • P.O. Box 9106 • Norwood, MA 02062-9106, U.S.A. • Tel: 781.329.4700 • Fax: 781.461.3113 • www.analog.com
ADE7912/ADE7913 Front-End DSP Specifications
by Gabriel Antonesei
INTRODUCTION
DIGITAL DECIMATION FILTERING
Functional Description
Figure 1 shows the block diagram of the decimation filtering
implemented in the ADE7912/ADE7913. The Σ-Δ modulator
provides a bit stream with a frequency of 1 MHz when the chip
is clocked at CLKIN = 4.096 MHz. The SINC4 filter uses four
decimation ratios—32, 64, 128, and 256—to provide outputs at
32 kHz, 16 kHz, 8 kHz and 4 kHz. To limit the bandwidth to
meaningful frequencies while also keeping the data rate as low
as possible, an extra low-pass filter (LPF) with 60 dB attenuation is
used. This makes the subsequent rms and power calculations
ANALOG
INPUT
Σ-∆
1MHz
SINC4
↓ (32, 64, 128, OR 256)
more precise, reducing the bandwidth a micro-controller must
reserve for the metrology calculations.
The LPF performs another decimation by 4, and has internal
flexibility, which leads to two different bandwidths. The LPF is
implemented as two separate, sixth-order filters: one filter for the
narrower bandwidths, one filter for the larger bandwidths.
The ADE7912/ADE7913 provide multiple output data rates
(ODRs): 8 kHz, 4 kHz, 2 kHz, and 1 kHz, as well as two selectable
bandwidths for each of these rates (see Table 1). The selectable
ODRs help users address a wide range of scenarios to make
their own trade-offs in the datapaths implemented in the
microcontroller.
ODR and bandwidth selection is performed by Bit 7 (BW) and
Bits[5:4] (ADC_FREQ) in the CONFIG register. Table 1 shows
the different BW and ADC_FREQ settings required when the
ADE7912/ADE7913 is clocked at CLKIN = 4.096 MHz. The
bandwidth is indicated by the point at which the gain is
attenuated by 3 dB.
32kHz ... 4kHz
DIGITAL
OUTPUT
LPF
↓4 (6TH ORD.)
8kHz ... 1kHz
13429-001
This application note explains several aspects of the digital
filtering associated with the Σ-Δ modulators used in the ADE7912/
ADE7913. The role of the filters is to decimate the outputs of the
modulators to various rates, while eliminating high frequency
noise. These rates start from a high of 8 kHz and go as low as
1 kHz, allowing the user to update the rates to the microcontroller
processing bandwidth.
Figure 1. Block Diagram of the Decimation Filtering Implemented in the ADE7912/ADE7913
Table 1. CONFIG Register Settings for Obtaining Various ODRs and Bandwidths
CONFIG Register
Bits[5:4] (ADC_FREQ) Setting
Bit 7 (BW) Setting
00
0
00
1
01
0
01
1
10
0
10
1
11
0
11
1
ODR (kHz)
8
8
4
4
2
2
1
1
Rev. 0 | Page 1 of 15
SINC4 + LPF Bandwidth (kHz)
3.338
2.137
1.670
1.069
0.836
0.535
0.418
0.268
AN-1374
Application Note
TABLE OF CONTENTS
Introduction ...................................................................................... 1 Digital Decimation Filtering ....................................................... 1 Revision History ............................................................................... 2
Frequency Response and Time Delay Characteristics of the
SINC + LPF Filters ........................................................................3 Magnitude Frequency Response and Time Delays for Various
Filters...............................................................................................4 REVISION HISTORY
8/15—Revision 0: Initial Version
Rev. 0 | Page 2 of 15
Application Note
AN-1374
FREQUENCY RESPONSE AND TIME DELAY CHARACTERISTICS OF THE SINC4 + LPF FILTERS
The equivalent Z-domain formula of the SINC4 for various decimation ratios (DRs) is shown in the following equation:
 1  z  DR 
SINC4 (z) = 
1 
 1 z 
4
The Z-domain formula of the LPF that corresponds to the narrower bandwidth (BW, Bit 7 of the CONFIG register, is set to 1) is shown in
the following equation:
LPF_BW1 (z) =
(1  1.15478515625  z 1 )
(1  0.7138671875  z 1 )

(1  0.6630859375  z 1  z 2 )

(1  1.333984375  z 1  z 2 )
(1  1.5068359375  z 1  0.6162109375  z 2 ) (1  0.6962890625  z 1  0.8544921875  z 2 )
where LPF_BW1 is the LPF that corresponds to the narrower bandwidth.
The Z-domain formula of the LPF that corresponds to the larger bandwidth (BW, Bit 7 of the CONFIG register, is cleared to 0) is shown
in the following equation:
LPF_BW2 (z)=
(1  1.15478515625  z 1  z 2 )
(1  1.205322265625  z 1  0.385498046875  z 2 )

(1  0.603759765625  z 1  z 2 )
(1  1.31005859375  z 1  0.589111328125  z 2 )
(1  1.0595703125  z 1  z 2 )
(1  1.470947265625  z 1  0.856201171875  z 2 )
where LPF_BW2 is the LPF that corresponds to the larger bandwidth.
Rev. 0 | Page 3 of 15

AN-1374
Application Note
MAGNITUDE FREQUENCY RESPONSE AND TIME
DELAYS FOR VARIOUS FILTERS
Figure 2 through Figure 25 and Table 2 through Table 32
provide detailed information about the magnitude frequency
response and the time delays introduced in the signal path by
the various filters. The output data rate (ODR) is the output
frequency at which the analog-to-digital converter (ADC) samples
are provided by the ADE7912/ADE7913. The bandwidth of the
filter (BW) is the point at which the gain is attenuated by 3 dB.
The full frequency response, or the response up to the −3 dB
point, and the flat-band response (from 0 dB down to −0.8 dB
attenuation) are shown in all ODR and BW cases.
The phase delay defines the propagation delay in the phase of a
sinusoidal signal passing through the filter. Tables showing the
phase delay at various frequencies are shown for all ODR and
BW cases.
From the perspective of power calculations, these time delays
do not affect the final results because both voltage and current
signals are subject to identical time delay propagation. However,
in case of transient events or events synchronous to the zero
crossings, it may be useful to know the time delays.
The frequency points are selected in such a way that the
intermediate values can be obtained with accuracy by piecewise
linear interpolation. These frequency points may be useful, for
example, if amplitude corrections are necessary.
Rev. 0 | Page 4 of 15
Application Note
AN-1374
ODR = 8 kHz and BW = 3.338 kHz
–10
–20
–30
–40
–50
–60
–70
–80
0
2000
4000
6000
8000
10000
12000
14000
16000
FREQUENCY (Hz)
0
–0.1
–0.2
–0.3
–0.4
–0.5
–0.6
–0.7
–0.8
0
500
1000
1500
2000
2500
3000
3500
FREQUENCY (Hz)
Figure 2. Full Frequency Response for ODR = 8 kHz and BW = 3.338 kHz
13429-004
MAGNITUDE FREQUENCY RESPONSE (dB)
0.1
13429-002
MAGNITUDE FREQUENCY RESPONSE (dB)
0
Figure 4. Flat-Band Response for ODR = 8 kHz and BW = 3.338 kHz
–0.5
–1.0
–1.5
–2.0
–2.5
–3.0
0
500
1000
1500
2000
2500
3000
3500
FREQUENCY (Hz)
13429-003
MAGNITUDE FREQUENCY RESPONSE (dB)
0
Figure 3. 3 dB Point Response for ODR = 8 kHz and BW = 3.338 kHz
Table 2. SINC4 + LPF Gain Response at Various Frequencies for ODR = 8 kHz and BW = 3.338 kHz; Frequency Range = 50 Hz to 450 Hz
50
0
Magnitude (milli_dB)
100
−0.32
150
−0.87
Frequency (Hz)
250
300
−2.67
−3.93
200
−1.66
350
−5.44
400
−7.21
450
−9.26
Table 3. SINC4 + LPF Gain Response at Various Frequencies for ODR = 8 kHz and BW = 3.338 kHz; Frequency Range = 500 Hz to 900 Hz
Magnitude (milli_dB)
500
−11.6
550
−14.22
600
−17.15
650
−20.40
Frequency (Hz)
700
750
−23.97
−27.87
800
−32.11
850
−36.69
900
−41.61
Table 4. SINC4 + LPF Gain Response at Various Frequencies for ODR = 8 kHz and BW = 3.338 kHz; Frequency Range = 950 Hz to 1350 Hz
Magnitude (milli_dB)
950
−46.86
1000
−52.45
1050
−58.37
1100
−64.6
Frequency (Hz)
1150
1200
−71.13
−77.95
1250
−85.05
1300
−92.41
1350
−100
Table 5. SINC4 + LPF Gain Response at Various Frequencies for ODR = 8 kHz and BW = 3.338 kHz; Frequency Range = 1400 Hz to
2200 Hz
Magnitude (dB)
1400
−0.108
1500
−0.124
1600
−0.141
1700
−0.159
Frequency (Hz)
1800
1900
−0.177
−0.197
Rev. 0 | Page 5 of 15
2000
−0.218
2100
−0.241
2200
−0.265
AN-1374
Application Note
Table 6. SINC4 + LPF Gain Response at Various Frequencies for ODR = 8 kHz and BW = 3.338 kHz; Frequency Range = 2300 Hz to
3100 Hz
Magnitude (dB)
2300
−0.291
2400
−0.318
2500
−0.346
2600
−0.374
Frequency (Hz)
2700
2800
−0.402
−0.434
2900
−0.486
3000
−0.6
3100
−0.859
Table 7. SINC4 + LPF Gain Response at Various Frequencies for ODR =8 kHz and BW = 3.338 kHz; Frequency Range = 3200 Hz to
3500 Hz
3200
−1.414
Magnitude (dB)
3300
−2.452
Frequency (Hz)
3338
−3.0
3400
−4.09
3500
−6.27
Table 8. SINC4 +LPF Phase Delay Response at Various Frequencies for ODR = 8 kHz and BW = 3.338 kHz
Phase Delay (μs)
50
225
500
226
750
227
1000
229
Frequency (Hz)
1500
2000
234
241
Rev. 0 | Page 6 of 15
2500
254
3000
277
3300
321
Application Note
AN-1374
ODR = 8 kHz and BW = 2.137 kHz
0.1
–20
–30
–40
–50
–60
–70
–80
0
2000
4000
6000
8000
10000
12000
14000
16000
FREQUENCY (Hz)
0
–0.1
–0.2
–0.3
–0.4
–0.5
–0.6
–0.7
–0.8
0
500
1000
1500
2000
2500
FREQUENCY (Hz)
Figure 5. Full Frequency Response for ODR = 8 kHz and BW = 2.137 kHz
13429-007
MAGNITUDE FREQUENCY RESPONSE (dB)
–10
13429-005
MAGNITUDE FREQUENCY RESPONSE (dB)
0
Figure 7. Flat-Band Response for ODR = 8 kHz and BW = 2.137 kHz
–0.5
–1.0
–1.5
–2.0
–2.5
–3.0
0
500
1000
1500
2000
2500
FREQUENCY (Hz)
13429-006
MAGNITUDE FREQUENCY RESPONSE (dB)
0
Figure 6. 3 dB Point Response for ODR = 8 kHz and BW = 2.137 kHz
Table 9. SINC4 + LPF Gain Response at Various Frequencies for ODR = 8 kHz and BW = 2.137 kHz; Frequency Range = 50 Hz to 450 Hz
Magnitude (milli_dB)
50
0
100
−0.56
150
−1.5
Frequency (Hz)
250
300
−4.34
−6.19
200
−2.77
350
−8.25
400
−10.51
450
−12.91
Table 10. SINC4 + LPF Gain Response at Various Frequencies for ODR = 8 kHz and BW = 2.137 kHz; Frequency Range = 500 Hz to 900 Hz
500
−15.44
Magnitude (milli_dB)
550
−18.08
600
−20.82
650
−23.68
Frequency (Hz)
700
750
−26.70
−29.90
800
−33.36
850
−37.13
900
−41.29
Table 11. SINC4 + LPF Gain Response at Various Frequencies for ODR = 8 kHz and BW = 2.137 kHz; Frequency Range = 950 Hz to
1400 Hz
Magnitude (milli_dB)
950
−45.90
1000
−51.01
1050
−56.64
1100
−62.8
Frequency (Hz)
1150
1200
−69.41
−76.40
Rev. 0 | Page 7 of 15
1250
−83.64
1300
−90.96
1400
−105
AN-1374
Application Note
Table 12. SINC4 + LPF Gain Response at Various Frequencies for ODR = 8 kHz and BW = 2.137 kHz; Frequency Range = 1500 Hz to
2200 Hz
Magnitude (dB)
1500
−0.119
1600
−0.140
1700
−0.188
1800
−0.314
Frequency (Hz)
1900
2000
−0.621
−1.274
2100
−2.243
2137
−3.01
2200
−4.167
Table 13. SINC4 + LPF Phase Delay Response at Various Frequencies for ODR = 8 kHz and BW = 2.137 kHz
Phase Delay (μs)
50
294
500
296
750
299
1000
304
Rev. 0 | Page 8 of 15
Frequency (Hz)
1500
322
1750
338
2000
365
2100
377
Application Note
AN-1374
ODR = 4 kHz and BW = 1.67 kHz
0.1
–20
–30
–40
–50
–60
–70
–80
0
1000
2000
3000
4000
5000
6000
7000
8000
FREQUENCY (Hz)
0
–0.1
–0.2
–0.3
–0.4
–0.5
–0.6
–0.7
–0.8
0
200
400
600
800
1000
1200
1400
1600
1800
FREQUENCY (Hz)
Figure 8. Full Frequency Response for ODR = 4 kHz and BW = 1.67 kHz
13429-010
MAGNITUDE FREQUENCY RESPONSE (dB)
–10
13429-008
MAGNITUDE FREQUENCY RESPONSE (dB)
0
Figure 10. Flat-Band Response for ODR = 4 kHz and BW = 1.67 kHz
–0.5
–1.0
–1.5
–2.0
–2.5
–3.0
0
200
400
600
800
1000
1200
1400
1600
1800
FREQUENCY (Hz)
13429-009
MAGNITUDE FREQUENCY RESPONSE (dB)
0
Figure 9. 3 dB Point Response for ODR = 4 kHz and BW = 1.67 kHz
Table 14. SINC4 + LPF Gain Response at Various Frequencies for ODR = 4 kHz and BW = 1.67 kHz; Frequency Range = 50 Hz to 450 Hz
Magnitude (milli_dB)
50
0
100
−1.323
150
−3.589
200
−6.865
Frequency (Hz)
250
300
−11.234
−16.784
350
−23.596
400
−31.732
450
−41.222
Table 15. SINC4 + LPF Gain Response at Various Frequencies for ODR = 4 kHz and BW = 1.67 kHz; Frequency Range = 500 Hz to 900 Hz
Magnitude (milli_dB)
500
−52.06
550
−64.199
600
−77.554
650
−92.011
Frequency (Hz)
700
750
−107.44
−123.73
800
−140.81
850
−158.66
900
−177.37
Table 16. SINC4 + LPF Gain Response at Various Frequencies for ODR = 4 kHz and BW = 1.67 kHz; Frequency Range = 950 Hz to 1350 Hz
Magnitude (dB)
950
−0.197
1000
−0.218
1050
−0.240
1100
−0.265
Frequency (Hz)
1150
1200
−0.291
−0.318
Rev. 0 | Page 9 of 15
1250
−0.346
1300
−0.373
1350
−0.401
AN-1374
Application Note
Table 17. SINC4 + LPF Gain Response at Various Frequencies for ODR = 4 kHz and BW = 1.67 kHz; Frequency Range = 1400 Hz to
1900 Hz
Magnitude (dB)
1400
−0.433
1450
−0.486
1500
−0.598
1550
−0.856
Frequency (Hz)
1600
1670
−1.407
−3.01
1700
−4.071
1800
−8.807
1900
−14.39
Table 18. SINC4 + LPF Phase Delay Response at Various Frequencies for ODR = 4 kHz and BW = 1.67 kHz
Phase Delay (μs)
50
450
250
452
500
458
750
467
Frequency (Hz)
1000
483
Rev. 0 | Page 10 of 15
1250
508
1500
555
1650
608
Application Note
AN-1374
ODR = 4 kHz and BW = 1.069 kHz
0.1
MAGNITUDE FREQUENCY RESPONSE (dB)
–20
–30
–40
–50
–60
–70
–80
0
1000
2000
3000
4000
5000
6000
7000
0
–0.1
–0.2
–0.3
–0.4
–0.5
–0.6
–0.7
8000
–0.8
FREQUENCY (Hz)
0
200
400
600
800
1000
1200
FREQUENCY (Hz)
Figure 11. Full Frequency Response for ODR = 4 kHz and BW = 1.069 kHz
13429-013
–10
13429-011
MAGNITUDE FREQUENCY RESPONSE (dB)
0
Figure 13. Flat-Band Response for ODR = 4 kHz and BW = 1.069 kHz
–0.5
–1.0
–1.5
–2.0
–2.5
–3.0
0
200
400
600
800
1000
13429-012
MAGNITUDE FREQUENCY RESPONSE (dB)
0
1200
FREQUENCY (Hz)
Figure 12. 3 dB Point Response for ODR = 4 kHz and BW = 1.069 kHz
Table 19. SINC4 + LPF Gain Response at Various Frequencies for ODR = 4 kHz and BW = 1.069 kHz; Frequency Range = 50 Hz to 450 Hz
Magnitude (milli_dB)
50
0
100
−2.19
150
−5.60
200
−9.92
Frequency (Hz)
250
300
−14.85
−20.23
350
−26.10
400
−32.76
450
−40.68
Table 20. SINC4 + LPF Gain Response at Various Frequencies for ODR = 4 kHz and BW = 1.069 kHz; Frequency Range = 500 Hz to 900 Hz
Magnitude (milli_dB)
500
−50.39
550
−62.16
600
−75.77
650
−90.33
Frequency (Hz)
700
750
−104.7
−119.2
800
−139.8
850
−186.9
900
−311.5
Table 21. SINC4 + LPF Gain Response at Various Frequencies for ODR = 4 kHz and BW = 1.069 kHz; Frequency Range = 950 Hz to
1300 Hz
Magnitude (dB)
950
−0.617
1000
−1.265
1050
−2.423
1069
−3.015
Frequency (Hz)
1100
1150
−4.147
−6.326
1200
−8.776
1250
−11.343
1300
−13.936
Table 22. SINC4 + LPF Phase Delay Response at Various Frequencies for ODR = 4 kHz and BW = 1.069 kHz
Phase Delay (μs)
50
588
250
593
500
609
Rev. 0 | Page 11 of 15
Frequency (Hz)
750
643
1000
730
1250
795
AN-1374
Application Note
ODR = 2 kHz and BW = 0.836 kHz
0.1
–20
–30
–40
–50
–60
–70
–80
0
500
1000
1500
2000
2500
3000
3500
4000
FREQUENCY (Hz)
0
–0.1
–0.2
–0.3
–0.4
–0.5
–0.6
–0.7
–0.8
0
100
200
300
400
500
600
700
800
900
1000
FREQUENCY (Hz)
Figure 14. Full Frequency Response for ODR = 2 kHz and BW = 0.836 kHz
13429-016
MAGNITUDE FREQUENCY RESPONSE (dB)
–10
13429-014
MAGNITUDE FREQUENCY RESPONSE (dB)
0
Figure 16. Flat-Band Response for ODR = 2 kHz and BW = 0.836 kHz
–0.5
–1.0
–1.5
–2.0
–2.5
–3.0
0
100
200
300
400
500
600
700
800
900
1000
FREQUENCY (Hz)
13429-015
MAGNITUDE FREQUENCY RESPONSE (dB)
0
Figure 15. 3 dB Point Response for ODR = 2 kHz and BW = 0.836 kHz
Table 23. SINC4 + LPF Gain Response at Various Frequencies for ODR = 2 kHz and BW = 0.836 kHz; Frequency Range = 50 Hz to 450 Hz
Magnitude (milli_dB)
50
0
100
−5.5
150
−15.37
200
−30.27
Frequency (Hz)
250
300
−50.55
−76
350
−106
400
−139
450
−176
Table 24. SINC4 + LPF Gain Response at Various Frequencies for ODR = 2 kHz and BW = 0.836 kHz; Frequency Range = 500 Hz to
1000 Hz
Magnitude (dB)
500
−0.216
550
−0.263
600
−0.316
650
−0.372
700
−0.431
Frequency (Hz)
750
800
−0.594 −1.39
836
−3.05
850
−4.03
900
−8.75
950
−14.33
Table 25. SINC4 + LPF Phase Delay Response at Various Frequencies for ODR = 2 kHz and BW = 0.836 kHz
Phase Delay (μs)
50
901
125
904
250
915
350
930
Frequency (Hz)
400
939
Rev. 0 | Page 12 of 15
500
965
750
1109
830
1223
1000
−20.0
Application Note
AN-1374
ODR = 2 kHz and BW = 0.535 kHz
0.1
–10
–20
–30
–40
–50
–60
–70
0
500
1000
1500
2000
2500
3000
3500
4000
FREQUENCY (Hz)
–0.1
–0.2
–0.3
–0.4
–0.5
–0.6
–0.7
–0.8
13429-017
–80
0
0
100
200
300
400
500
600
FREQUENCY (Hz)
Figure 17. Full Frequency Response for ODR = 2 kHz and BW = 0.535 kHz
13429-019
MAGNITUDE FREQUENCY RESPONSE (dB)
MAGNITUDE FREQUENCY RESPONSE (dB)
0
Figure 19. Flat-Band Response for ODR = 2 kHz and BW = 0.535 kHz
–0.5
–1.0
–1.5
–2.0
–2.5
–3.0
0
100
200
300
400
500
600
FREQUENCY (Hz)
13429-018
MAGNITUDE FREQUENCY RESPONSE (dB)
0
Figure 18. 3 dB Point Response for ODR = 2 kHz and BW = 0.535 kHz
Table 26. SINC4 + LPF Gain Response at Various Frequencies for ODR = 2 kHz and BW = 0.535 kHz; Frequency Range = 50 Hz to 450 Hz
50
0
Magnitude (milli_dB)
100
−7.69
150
−17.99
200
−30.48
Frequency (Hz)
250
300
−48.05
−73.36
350
−102.34
400
−137.17
450
−305.62
Table 27. SINC4 + LPF Gain Response at Various Frequencies for ODR = 2 kHz and BW = 0.535 kHz; Frequency Range = 500 Hz to 750 Hz
Magnitude (dB)
500
−1.24
535
−3.01
Frequency (Hz)
600
650
−8.72
−13.88
550
−4.10
700
−19.01
750
−24.03
Table 28. SINC4 + LPF Phase Delay Response at Various Frequencies for ODR = 2 kHz and BW = 0.535 kHz
Phase Delay (μs)
50
1177
125
1185
250
1217
Frequency (Hz)
350
400
1268
1309
Rev. 0 | Page 13 of 15
500
1459
535
1525
AN-1374
Application Note
ODR = 1 kHz and BW = 0.418 kHz
0.1
–10
–20
–30
–40
–50
–60
–80
0
200
400
600
800
1000 1200 1400 1600 1800 2000
FREQUENCY (Hz)
–0.1
–0.2
–0.3
–0.4
–0.5
–0.6
–0.7
–0.8
13429-020
–70
0
0
50
100
150
200
250
300
350
400
450
500
FREQUENCY (Hz)
Figure 20. Full Frequency Response for ODR = 1 kHz and BW = 0.418 kHz
13429-022
MAGNITUDE FREQUENCY RESPONSE (dB)
MAGNITUDE FREQUENCY RESPONSE (dB)
0
Figure 22. Flat-Band Response for ODR = 1 kHz and BW = 0.418 kHz
–0.5
–1.0
–1.5
–2.0
–2.5
–3.0
0
50
100
150
200
250
300
350
400
450
500
FREQUENCY (Hz)
13429-021
MAGNITUDE FREQUENCY RESPONSE (dB)
0
Figure 21. 3 dB Point Response for ODR = 1 kHz and BW = 0.418 kHz
Table 29. SINC4 + LPF Gain Response at Various Frequencies for ODR = 1 kHz and BW = 0.418 kHz; Frequency Range = 50 Hz to 600 Hz
Magnitude (dB)
50
0
100
−0.024
150
−0.070
200
−0.133
250
−0.210
Frequency (Hz)
300
350
400
−0.310 −0.424 −1.355
418
−2.98
450
−8.64
500
−19.95
550
−31.74
600
−45.78
Table 30. SINC4 + LPF Phase Delay Response at Various Frequencies for ODR = 1 kHz and BW = 0.418 kHz
Phase Delay (μs)
50
1806
100
1820
150
1843
Frequency (Hz)
200
250
1879
1930
Rev. 0 | Page 14 of 15
300
2005
350
2122
400
2349
Application Note
AN-1374
ODR = 1 kHz and BW = 0.268 kHz
0.1
–10
–20
–30
–40
–50
–60
–80
0
200
400
600
800
1000 1200 1400 1600 1800 2000
FREQUENCY (Hz)
–0.1
–0.2
–0.3
–0.4
–0.5
–0.6
–0.7
–0.8
13429-023
–70
0
0
50
100
150
200
250
300
FREQUENCY (Hz)
Figure 23. Full Frequency Response for ODR = 1 kHz and BW = 0.268 kHz
13429-025
MAGNITUDE FREQUENCY RESPONSE (dB)
MAGNITUDE FREQUENCY RESPONSE (dB)
0
Figure 25. Flat-Band Response for ODR = 1 kHz and BW = 0.268 kHz
–0.5
–1.0
–1.5
–2.0
–2.5
–3.0
0
50
100
150
200
250
13429-024
MAGNITUDE FREQUENCY RESPONSE (dB)
0
300
FREQUENCY (Hz)
Figure 24. 3 dB Point Response for ODR = 1 kHz and BW = 0.268 kHz
Table 31. SINC4 + LPF Gain Response at Various Frequencies for ODR = 1 kHz and BW = 0.268 kHz; Frequency Range = 50 Hz to 400 Hz
Magnitude (dB)
50
0
100
−0.022
150
−0.065
200
−0.128
Frequency (Hz)
250
268
−1.20
−3.0
300
−8.615
350
−18.9
400
−28.91
Table 32. SINC4 + LPF Phase Delay Response at Various Frequencies for ODR = 1 kHz and BW = 0.268 kHz
Phase Delay (μs)
50
2363
100
2402
©2015 Analog Devices, Inc. All rights reserved. Trademarks and
registered trademarks are the property of their respective owners.
AN13429-0-8/15(0)
Rev. 0 | Page 15 of 15
Frequency (Hz)
150
2477
200
2615
250
2913
Similar pages