AD7761 Data Sheet
Rev. A | Page 46 of 75
DECIMATION RATE CONTROL
The AD7761 has programmable decimation rates for the digital
filters. The decimation rates allow the user to reduce the measure-
ment bandwidth, reducing the speed but increasing the resolution.
When using the SPI control, control the decimation rate on the
AD7761 through the channel mode registers. These registers set
two separate channel modes with a given decimation rate and
filter type. Each ADC is mapped to one of these modes via the
channel mode select register. Table 27 details both the decimation
rates available, and the filter types for selection, within Channel
Mode A and Channel Mode B.
In pin control mode, the decimation ratio is controlled by the
DEC0 and DEC1 pins; see Table 15 for the decimation
configuration in pin control mode.
Table 27. Channel Mode x Registers, Register 0x01 and
Register 0x02
3 FILTER_TYPE_x 0 Wideband filter
[2:0] DEC_RATE_x 000 32
001 64
011 256
100 512
101 1024
110 1024
111 1024
ANTIALIASING
Because the AD7761 is a switched capacitor, discrete time ADC,
the user may want to employ external analog antialiasing filters to
protect against foldback of out of band tones.
Within this section, an out of band tone refers to an input fre-
quency greater than the pass band frequency specification of
the digital filter that is applied at the analog input.
When designing an antialiasing filter for the AD7761, three main
aliasing regions must be taken into account. After the alias
requirements of each zone are understood, the user can design
an antialiasing filter to meet the needs of the specific application.
The three zones for consideration are related to the modulator
sampling frequency, the modulator chopping frequency, and the
modulator saturation point.
Modulator Sampling Frequency
The AD7761 modulator signal transfer function includes a notch,
at odd multiples of fMOD, to reject tones or harmonics related to
the modulator clock. The modulator itself attenuates signals at
frequencies of fMOD, 3 × fMOD, 5 × fMOD, and so on. For an MCLK
frequency of 32.768 MHz, the attenuation is approximately
35 dB in fast mode, 41 dB in median mode, and 53 dB in low
power mode. Attenuation is increased by 6 dB across each power
mode, with every halving of the MCLK frequency, for example,
when reducing the clock from 32.768 MHz to 16.384 MHz.
The modulator has no rejection to signals that are at frequencies in
zones around 2 × fMOD and all even multiples of fMOD. Signals at
these frequencies are aliased by the AD7761. For the AD7761,
the first of these zones that requires protection is at 2 × fMOD.
Because typical switch capacitor, discrete time Σ-Δ modulators
provide no protection to aliasing at the frequency, fMOD, the
AD7761 provides a distinct advantage in this regard.
Figure 67 shows the frequency response of the modulator and
wideband digital filter to out of band tones at the analog input.
Figure 67 shows the magnitude of an alias that is seen in band
vs. the frequency of the signal sampled at the analog input. The
relationship between the input signal and the modulator frequency
is expressed in a normalized manner as a ratio of the input signal
frequency (fIN) to the modulator frequency (fMOD). This data
demonstrates the ADC frequency response relative to out of band
tones when using the wideband filter. The fIN is swept from dc to
20 MHz. In fast mode, using an 8.192 MHz fMOD frequency, the
x-axis spans ratios of fIN/fMOD from 0 to 2.44 (equivalent to fIN of
0 Hz to 20 MHz). A similar characteristic occurs in median and
low power modes.
The notch appears in Figure 67 with fIN at fMOD (designated at
fIN/fMOD = 1.00 on the x-axis). An input at this frequency is
attenuated by 35 dB, which adds to the attenuation of any external
antialiasing filter, thus reducing the frequency roll-off require-
ment of the external filter. If the plot is swept further in frequency,
the notch is seen to recur at fIN/fMOD = 3.00.
The point where fIN = 2 × fMOD (designated on the x-axis at 2.00)
offers 0 dB attenuation, indicating that all signals falling at this
frequency alias directly back into the ADC conversion results, in
accordance with the sampling theory.
The AD7761 wideband digital filter also offers an added
protection against aliasing. Because the wideband filter has full
attenuation at the Nyquist frequency (fODR/2, where fODR = fMOD/
Decimation Rate), input frequencies, and in particular harmonics
of input frequencies, that may fall close to fODR/2, do not fold back
into the pass band of the AD7761.
–140
–130
–120
–110
–100
–90
–80
–70
–60
–50
–40
–30
–20
–10
0
0
0.125
0.250
0.375
0.500
0.625
0.750
0.875
1.000
1.125
1.250
1.375
1.500
1.625
1.750
1.875
2.000
2.125
2.250
2.375
2.500
ALIAS MAGNITUDE (dB)
WITH RE S P E CT TO IN- BAND M AGNITUDE
f
CHOP
=
f
MOD
/32
f
CHOP
=
f
MOD
/8
f
IN
/
f
MOD
14285-075
Figure 67. Rejection of Out of Band Input Tones, Wideband Filter,
Decimation = ×32, fMOD = 8.192 MHz, Analog Input Sweep from DC to 20 MHz