IEEE Circuits and Systems Magazine - Q3 2023 - 64

three-stage feedforward-compensated design, whose
input stage is chopped. Other OTAs are two-stage
feedforward compensated structures.
The FIR compensation in the single-bit design is
done using passive summation around the quantizer
(shown as colored part in Fig. 13(b)). As a result, the
attenuated version of the loop filter output is presented
at the input-pair of the quantizer which samples on the
falling edge of the clock. To give it sufficient time for
regeneration, DAC1 and the main FIR DAC are clocked
using the rising edge, resulting in an excess delay of
half-clock cycle.
A. OTA Design Details
The simplified schematic of the input OTA is given in
Fig. 13(b). The three-stage architecture achieves high
dc gain and results in reduced chopping artifacts (as
discussed in Section IV). The input stage reuses current
to achieve a large gm for a given bias current. Cascodes
are used to increase dc gain of the stage, and to reduce
the parasitic capacitance at nodes 2 and ′2 by shielding
these nodes from the large parasitics of the input pairs.
Cx added at the output of the first stage's chopper slows
down the third-order path through gg gmm m12 3
---,
to
ensure
adequate phase margin. The subsequent stages
gg ggmm mm24 35
save power. The first-order path formed by gm5 is accoupled
to increase the maximum-permissible swing at
the OTA's output.
B. Quantizer and Compensation FIR DAC
The ADC in the multi-bit design uses a flash architecture,
with the comparators being implemented using
StrongArm latches. The 1-bit quantizer in single-bit
() are employ current reuse to
Figure 13. Simplified single-ended schematic of the modulator. (a) Multi-bit design. (b) Single-bit design. (c) Simplified schematic
of the three-stage feedforward-compensated OTA used in the input integrator (I2). The first stage of the OTA is chopped at a frequency
fc = fs = (2× # FIR taps).(d) Quantizer and implementation of direct path using capacitive summation in single-bit design.
64
IEEE CIRCUITS AND SYSTEMS MAGAZINE
THIRD QUARTER 2023

IEEE Circuits and Systems Magazine - Q3 2023

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