AD7763
THEORY OF OPERATION
The AD7763 employs a Σ-Δ conversion technique to convert
the analog input into an equivalent digital word. The modulator
samples the input waveform and outputs an equivalent digital
word to the digital filter at a rate equal to ICLK.
Due to the high oversampling rate, which spreads the quanti-
zation noise from 0 to fICLK, the noise energy contained in the
band of interest is reduced (see Figure 23). To further reduce
quantization noise, a high order modulator is employed to shape
the noise spectrum; thus, most of the noise energy is shifted
out of the band of interest (see Figure 24).
The digital filtering that follows the modulator removes the
large out-of-band quantization noise (see Figure 25), while
also reducing the data rate from fICLK at the input of the filter
to fICLK/32 or less at the output of the filter, depending on the
decimation rate used.
Digital filtering has certain advantages over analog filtering.
It does not introduce significant noise or distortion and can
be made perfectly linear phase.
The AD7763 employs three finite impulse response (FIR) filters
in series. By using different combinations of decimation ratios
and filter selection, data can be obtained from the AD7763 at
four different data rates. The first filter receives data from the
modulator at ICLK MHz, where it is decimated × 4 to output
data at (ICLK/4) MHz.
Data Sheet
The second filter allows the decimation rate to be chosen from
8× to 32×. The third filter has a fixed decimation rate of 2×, is
user programmable, and has a default configuration (see the
Programmable FIR Filter section). This filter can be bypassed.
Table 6 shows some characteristics of the default filter. The group
delay of the filter is defined as the delay to the center of the
impulse response and is equal to the computation plus filter
delays. The delay until valid data is available (the DVALID status bit
is set) is equal to 2× the filter delay plus the computation delay.
QUANTIZATION NOISE
BAND OF INTEREST
fICLK/2
Figure 23. Σ-Δ ADC, Quantization Noise
NOISE SHAPING
BAND OF INTEREST
fICLK/2
Figure 24. Σ-Δ ADC, Noise Shaping
DIGITAL FILTER CUTOFF FREQUENCY
BAND OF INTEREST
fICLK/2
Figure 25. Σ-Δ ADC, Digital Filter Cutoff Frequency
Table 6. Configuration With Default Filter
ICLK
Frequency
Filter 1 Filter 2 Filter 3
20 MHz
4×
4×
2×
20 MHz
4×
8×
Bypassed
20 MHz
20 MHz
4×
8×
2×
4×
16×
Bypassed
20 MHz
20 MHz
4×
16×
2×
4×
32×
Bypassed
20 MHz
4×
12.288 MHz 4×
12.288 MHz 4×
12.288 MHz 4×
32×
2×
8×
2×
16×
2×
32×
Bypassed
12.288 MHz 4×
32×
2×
Data State
Fully filtered
Partially
filtered
Fully filtered
Partially
filtered
Fully filtered
Partially
filtered
Fully filtered
Fully filtered
Fully filtered
Partially
filtered
Fully filtered
Computation
Delay
1.775 μs
2.6 μs
2.25 μs
4.175 μs
3.1 μs
7.325 μs
4.65 μs
3.66 μs
5.05 μs
11.92 μs
7.57 μs
Filter
Delay
44.4 μs
10.8 μs
Pass Band
Bandwidth
250 kHz
140.625 kHz
87.6 μs
20.4 μs
125 kHz
70.3125 kHz
174 μs
39.6 μs
62.5 kHz
35.156 kHz
346.8 μs
142.6 μs
283.2 μs
64.45 μs
31.25 kHz
76.8 kHz
38.4 kHz
21.6 kHz
564.5 μs 19.2 kHz
Output Data Rate
(ODR)
625 kHz
625 kHz
312.5 kHz
312.5 kHz
156.25 kHz
156.25 kHz
78.125 kHz
192 kHz
96 kHz
96 kHz
48 kHz
Rev. B | Page 14 of 32