  The latest theoretical advances in the field of unlimited sampling framework
(USF) show the potential to avoid clipping problems of analog-to-digital
converters (ADC). To date, most of the related works have focused on
real-valued modulo samples, but little has been reported about the impact of
quantization. In this paper, we study more practical USF system where modulo
samples are quantized to a finite number of bits. In particular, we present a
new requirement about the lower bound of sampling rate to ensure exact recovery
of original signals from quantized modulo samples. The minimum sampling rate is
jointly determined by signal bandwidth and quantization bits. Numerical results
show that in the presence of quantization noise, signals with different
waveforms and bandwidths are recovered perfectly at the new minimum sampling
rate while the recovery fails at minimum sampling rate before modification,
which also verifies the correctness of the theory. The trade-offs of sampling
rates, quantization bits and computational complexity of recovery algorithm are
also given for practitioners to weigh.
