Signal reconstruction from sine wave crossings

Holger Boche, Ullrich J. Mönich

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Scopus citations

Abstract

In this paper we analyze the reconstruction of bandlimited signals from their sine wave crossings by a sampling type reconstruction process. The reconstruction process is highly adapted to the signal which shall be reconstructed, because the reconstruction functions and the sampling points are implicitly generated by the signal. We show that the reconstruction process is uniformly convergent for all signals in the Paley-Wiener spaces PW πp, 1 < p ≤ ∞. However, the adaptivity cannot prevent the peak value of the reconstruction process to diverge for certain signals in PWπ1.

Original languageEnglish
Title of host publication2011 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2011 - Proceedings
Pages4196-4199
Number of pages4
DOIs
StatePublished - 2011
Event36th IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2011 - Prague, Czech Republic
Duration: 22 May 201127 May 2011

Publication series

NameICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
ISSN (Print)1520-6149

Conference

Conference36th IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2011
Country/TerritoryCzech Republic
CityPrague
Period22/05/1127/05/11

Keywords

  • adaptive
  • reconstruction
  • sampling
  • sine type
  • zero crossings

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