Sampling signals from a union of subspaces: A new perspective for the extension of this theory

Yue M. Lu, Minh N. Do

Research output: Contribution to journalArticlepeer-review

Abstract

A recent work on sampling signals has been about finite rate of innovation, which studies several specific classes of signals in the form of a certain form of equation in observed signals, including streams of Diracs and piecewise polynomials. A result of the finite rate of innovation sampling work is to demonstrate that these classes of bandlimited signals can be uniformly sampled at a low given rate and then perfectly reconstructed by using efficient algorithms based on annihilating filter techniques. The recent work also showed the conditions for invertible and stable sampling and derived the minimum sampling requirement. It showed that the recent work on sampling signals are more efficient than the minimum sampling rate dictated by classical sampling results that consider only spaces that are single.

Original languageEnglish (US)
Pages (from-to)41-47
Number of pages7
JournalIEEE Signal Processing Magazine
Volume25
Issue number2
DOIs
StatePublished - Mar 2008

ASJC Scopus subject areas

  • Signal Processing
  • Electrical and Electronic Engineering
  • Applied Mathematics

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