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AD9267
Rev. 0 | Page 13 of 24
THEORY OF OPERATION
The AD9267 uses a continuous time Σ-Δ modulator to convert
the analog input to a digital word. The modulator consists of a
which samples at fMOD = 640 MSPS. This produces an oversam-
pling ratio (OSR) of 32 for a 10 MHz input bandwidth. The output
of the quantizer is fed back to a DAC that ideally cancels the
input signal. The incomplete input cancellation residue is filtered
by the loop filter and is used to form the next quantizer sample.
H(f)
LOOP FILTER
QUANTIZER
+
–
DAC
ADC
MODULATOR
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Figure 27. Σ-Δ Modulator Overview
The quantizer produces a nine-level digital word. The quantiza-
tion noise is spread uniformly over the Nyquist band (see
Figure 28) but the feedback loop causes the quantization noise
present in the nine-level output to have a nonuniform spectral
shape. This noise shaping technique (see
Figure 29) pushes the
in-band noise out of band; therefore, the amount of quantiza-
tion noise in the frequency band of interest is minimal.
QUANTIZATION NOISE
fMOD/2
BAND OF INTEREST
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22
Figure 28. Quantization Noise
NOISE SHAPING
BAND OF INTEREST
fMOD/2
0
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Figure 29. Noise Shaping
ANALOG INPUT CONSIDERATIONS
The continuous time modulator removes the need for an anti-
alias filter at the input to the AD9267. A discrete time converter
aliases signals around the sample clock frequency and its
multiples to the band of interest (se
e Figure 30). An external
antialias filter is needed to reject these signals.
DESIRED
INPUT
UNDESIRED
SIGNAL
ADC
fS
fS/2
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Figure 30. Discrete Time Converter
In contrast, the continuous time Σ-Δ modulator used within the
AD9267 has inherent antialiasing. The antialiasing property
results from sampling occurring at the output of the loop filter
(see
Figure 31), and thus aliasing occurs at the same point in the
loop as quantization noise is injected; aliases are shaped by the
same mechanism as quantization noise. The quantization noise
transfer function, NTF(f), has zeros in the band of interest and
in all alias bands because NTF(f) is a discrete time transfer
function, whereas the loop filter transfer function, LF(f),
introduces poles only in the band of interest because LF(f) is a
continuous time transfer function. The signal transfer function,
being the product of NTF(f) and LF(f), only has zeros in all
alias bands and therefore suppresses all aliases.
LF(f)
H(z)
QUANTIZATION
NOISE
INP UT
OUTPUT
LOOP FILTER
fMOD
f
NTF(f)
L F (f)
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Figure 31. Continuous Time Converter
Input Common Mode
The analog inputs of the AD9267 are not internally dc biased.
In ac-coupled applications, the user must provide this bias
externally. Setting the device such that VCM = AVDD is
recommended for optimum performance. The analog inputs
are 500 Ω resistors and the internal reference loop aims to
develop 0.5 V across each input resistor (see
Figure 32). With
0 V differential input, the driver sources 1 mA into each
analog input.
TO LOOP FILTER
STAGE 2
DAC
AVDD – 0.5V
500
500
VIN+x
VIN–x
FROM QUANTIZER
0
7773-
026
2.3V
1.8V
1.3V
2.3V
1.8V
1.3V
Figure 32. Input Common Mode