Sampling of linear canonical transformed signals

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164 Scopus citations

Abstract

Linear canonical transforms play an important role in many fields of optics and signal processing. Well-known transforms such as the Fourier transform, the fractional Fourier transform, and the Fresnel transform can be seen as special cases of the linear canonical transform. In this paper we develop a sampling theorem for linear canonical transformed signals. The well-known Shannon sampling theorem and previously developed sampling criteria for Fresnel and fractional Fourier transformed signals are shown to be a special cases of the theorem developed here.

Original languageEnglish
Pages (from-to)1421-1425
Number of pages5
JournalSignal Processing
Volume86
Issue number7
DOIs
StatePublished - 1 Jul 2006

Keywords

  • Fractional fourier transform
  • Fresnel transform
  • Linear canonical transform
  • Regular sampling

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Software
  • Signal Processing
  • Computer Vision and Pattern Recognition
  • Electrical and Electronic Engineering

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