English

Approximate reconstruction of bandlimited functions for the integrate and fire sampler

Data Analysis, Statistics and Probability 2015-04-27 v1 Functional Analysis

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.

Keywords

Cite

@article{arxiv.0912.0766,
  title  = {Approximate reconstruction of bandlimited functions for the integrate and fire sampler},
  author = {Hans G. Feichtinger and José C. Príncipe and José Luis Romero and Alexander Singh Alvarado and Gino Angelo Velasco},
  journal= {arXiv preprint arXiv:0912.0766},
  year   = {2015}
}

Comments

12 pages, 7 figures