Multichannel Time-Encoding of Finite-Rate-of-Innovation Signals

Time-encoding of continuous-time signals is an alternative sampling paradigm to Shannon sampling. In time-encoding or event-driven sampling, the signal is encoded using a sequence of time instants corresponding to an event. In this paper, we propose multichannel time-encoding of signals with a finite-rate-of-innovation (FRI) in single-input-multi-output (SIMO) and multi-input-multi-output (MIMO) configurations using the integrate-and-fire model. We demonstrate perfect reconstruction of FRI signals with common support from MIMO time-encoded measurements using a joint estimation technique, and perfect reconstruction of FRI signals from SIMO time-encoded measurements with reduced sampling requirement as compared to the single channel case. We provide sufficient conditions for perfect reconstruction with sampling requirement of the order of the rate of innovation of the signal. We substantiate our claims using simulations on noise-free and noisy measurements.