June 2006
Intermediate to advanced
336 pages
10h 24m
English
Content preview from Demystifying Switched Capacitor Circuits
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Switched-Capacitor Data Converters
195
SNR M L OSR
Lth order−
=+++
(
)
(
)
−602 176 20 10 10.. lg lgg
π
2
21
L
L +
(5.71)
This indicates that the maximum SNR will increase with the OSR at the rate of
(6L + 3) dB/octave, or equivalently, an ENOB gain of (L + 0.5) bits/octave. To
quantify, consider a third-order noise-shaping ∆Σ modulator with a 1-bit quantizer. It
can be calculated that an OSR of only 36 is adequate to achieve a 96-dB SNR (i.e., a
16-bit resolution). Note that M is still equal to 1.
As suggested by the foregoing development, given a noise-shaping ∆Σ modulator
with a fi xed SNR specifi cation, the higher is its loop order, the lower the requi ...
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