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Sampling analysis in weighted fractional fourier transform domain

  • Harbin Institute of Technology

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

Abstract

We propose a new method for analysis of the sampling and reconstruction conditions of signals by use of the weighted fractional Fourier transform (WFRFT). It is shown that the WFRFT domain may provide a novel understanding of sampling process. The proposed sampling theorem generalizes classical Shannon sampling theorem and Fourier series expansion, and provides a full-reconstruction procedure of certain signals that are not band-limited in the traditional Fourier sense. An orthogonal sampling basis for the class of band-limited signals in the sense of WFRFT is also given. Experimental results are proposed to verify the accuracy and effectiveness of the obtained results.

Original languageEnglish
Title of host publicationProceedings of the 2009 International Joint Conference on Computational Sciences and Optimization, CSO 2009
Pages878-881
Number of pages4
DOIs
StatePublished - 2009
Event2009 International Joint Conference on Computational Sciences and Optimization, CSO 2009 - Sanya, Hainan, China
Duration: 24 Apr 200926 Apr 2009

Publication series

NameProceedings of the 2009 International Joint Conference on Computational Sciences and Optimization, CSO 2009
Volume1

Conference

Conference2009 International Joint Conference on Computational Sciences and Optimization, CSO 2009
Country/TerritoryChina
CitySanya, Hainan
Period24/04/0926/04/09

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