  Two important attributes of analog to digital converters (ADCs) are its
sampling rate and dynamic range. The sampling rate should be greater than or
equal to the Nyquist rate for bandlimited signals with bounded energy. It is
also desired that the signals' dynamic range should be within that of the
ADC's; otherwise, the signal will be clipped. A modulo operator has been
recently suggested prior to sampling to restrict the dynamic range. Due to the
nonlinearity of the modulo operation, the samples are distorted. Existing
recovery algorithms to recover the signal from its modulo samples operate at a
high sampling rate and are not robust in the presence of noise. In this paper,
we propose a robust algorithm to recover the signal from the modulo samples
which operates at lower sampling rate compared to existing techniques. We also
show that our method has lower error compared to existing approaches for a
given sampling rate, noise level, and dynamic range of the ADC. Our results
lead to less constrained hardware design to address dynamic range issues while
operating at the lowest rate possible.
