We consider the problem of recovering a band-limited signal from multi-channel modulo folded measurements. The study is motivated by the recent advances of self-reset analog-to-digital converters (SR-ADCs) for high dynamic range digitization. Most of existing works focus on single-channel SR-ADC, which requires high sampling rate and the reconstruction could be very unstable at low signal to noise ratio. To our best knowledge, this is the first work that studies multi-channel SR-ADC systems. In the noiseless case, we show that perfect reconstruction can be achieved using only 2 channels, each of which samples at Nyquist rate. For noisy measurements, we develop a lattice-based optimization for stable reconstruction. Simulation results are presented to demonstrate the effectiveness of the proposed algorithms.

Analog-to-digital conversion (ADC); Bandlimited signals; Modulo samplers; Chinese reminder theorem; Lattice theory