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
    • Faculty of MathematicsUniversity of Vienna
  • José C. Príncipe
    • Department of Electrical and Computer EngineeringUniversity of Florida
  • José Luis Romero
    • Departamento de Matemática, Facultad de Ciencias Exactas y NaturalesUniversidad de Buenos Aires
    • Department of Electrical and Computer EngineeringUniversity of Florida
  • Gino Angelo Velasco
    • Faculty of MathematicsUniversity of Vienna
    • Institute of MathematicsUniversity of the Philippines

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


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.


Integrate and fireNon-uniform samplingBandlimited function

Mathematics Subject Classifications (2010)


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© Springer Science+Business Media, LLC. 2011