Advances in Computational Mathematics

, Volume 36, Issue 1, pp 67–78

Approximate reconstruction of bandlimited functions for the integrate and fire sampler

  • Hans G. Feichtinger
  • José C. Príncipe
  • José Luis Romero
  • Alexander Singh Alvarado
  • Gino Angelo Velasco
Article

DOI: 10.1007/s10444-011-9180-9

Cite this article as:
Feichtinger, H.G., Príncipe, J.C., Romero, J.L. et al. Adv Comput Math (2012) 36: 67. doi:10.1007/s10444-011-9180-9

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

Integrate and fireNon-uniform samplingBandlimited function

Mathematics Subject Classifications (2010)

94A1294A2041A30

Copyright information

© Springer Science+Business Media, LLC. 2011

Authors and Affiliations

  • Hans G. Feichtinger
    • 1
  • José C. Príncipe
    • 2
  • José Luis Romero
    • 3
    • 4
  • Alexander Singh Alvarado
    • 2
  • Gino Angelo Velasco
    • 1
    • 5
  1. 1.Faculty of MathematicsUniversity of ViennaViennaAustria
  2. 2.Department of Electrical and Computer EngineeringUniversity of FloridaGainesvilleUSA
  3. 3.Departamento de Matemática, Facultad de Ciencias Exactas y NaturalesUniversidad de Buenos AiresCapital FederalArgentina
  4. 4.CONICETBuenos AiresArgentina
  5. 5.Institute of MathematicsUniversity of the PhilippinesDiliman, Quezon CityPhilippines