Approximate reconstruction of bandlimited functions for the integrate and fire sampler

TL;DR

This paper proposes an approximate reconstruction method for bandlimited signals from integrate-and-fire sampling, providing error bounds and demonstrating effectiveness through numerical simulations, suitable for low-power hardware applications.

Contribution

It introduces a novel approximate reconstruction procedure for integrate-and-fire sampled signals with theoretical error bounds and empirical validation.

Findings

Reconstruction error bounds established

Algorithm performs well in numerical simulations

Suitable for low-power, hardware-limited environments

Abstract

In this paper we study the reconstruction of a bandlimited signal from samples generated by the integrate and fire model. This sampler allows us to trade complexity in the reconstruction algorithms for simple hardware implementations, and is specially convenient in situations where the sampling device is limited in terms of power, area and bandwidth. Although perfect reconstruction for this sampler is impossible, we give a general approximate reconstruction procedure and bound the corresponding error. We also show the performance of the proposed algorithm through numerical simulations.