Sm. Moussavi et Bh. Leung, HIGH-ORDER SINGLE-STAGE SINGLE-BIT OVERSAMPLING A D CONVERTER STABILIZED WITH LOCAL FEEDBACK LOOPS/, IEEE transactions on circuits and systems. 2, Analog and digital signal processing, 41(1), 1994, pp. 19-25
A new method for the stabilization of high-order (> 2) single-stage si
ngle-bit oversampling A/D converters is proposed. In this approach, th
e stability of the modulator is achieved by preventing any unbounded i
ncrease in the internal node-voltages through the insertion of local f
eedback signals inside the modulator loop. In the past, absolute bound
s for stability have been derived for the first-order converter. This
property is exploited in stabilizing a higher order loop by activating
local first-order loops as soon as the internal integrators overload.
With local feedback, individual integrators are prevented from satura
ting and the output voltages are within the proper bounds. The error c
aused by the local feedback signals is cancelled by feeding these sign
als through alternate signal paths, in a way similar to the quantizati
on noise cancellation mechanism in a MASH architecture. Since the freq
uency of overloading can be made very low by proper design, the effect
of imperfect cancellation due to mismatches in the two signal paths c
aused by the modulator nonidealities is quite small. Hence, compared t
o the inherently stable MASH architectures, the proposed approach achi
eves stability and is yet much less sensitive to component mismatches.
In a sampled data environment where the integrator is realized using
opamps, this translates into a low opamp gain requirement. Simulation
results confirm that third order modulators using opamps with gain as
low as 50 achieve a peak signal-to-noise ratio (SNR) of about 83 dB wi
th an oversampling ratio of 64. This is less than 1 dB from the SNR ac
hieved with infinite opamp gain. In this modern day of low voltage CMO
S design, such a low opamp gain can be easily realized since no cascod
e stage is required.