Sampling of compact signals in offset linear canonical transform domains

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75 Scopus citations

Abstract

The offset linear canonical transform (OLCT) is the name of a parameterized continuum of transforms which include, as particular cases, the most widely used linear transforms in engineering such as the Fourier transform (FT), fractional Fourier transform (FRFT), Fresnel transform (FRST), frequency modulation, time shifting, time scaling, chirping and others. Therefore the OLCT provides a unified framework for studying the behavior of many practical transforms and system responses. In this paper the sampling theorem for OLCT is considered. The sampling theorem for OLCT signals presented here serves as a unification and generalization of previously developed sampling theorems.

Original languageEnglish
Pages (from-to)359-367
Number of pages9
JournalSignal, Image and Video Processing
Volume1
Issue number4
DOIs
StatePublished - 1 Oct 2007

Keywords

  • Linear canonical transform
  • Offset linear canonical transform
  • Regular sampling
  • Special affine Fourier transform
  • Time-frequency representation
  • Uncertainty principle

ASJC Scopus subject areas

  • Signal Processing
  • Electrical and Electronic Engineering

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