On signal moments and uncertainty relations associated with linear canonical transform

Juan Zhao, Ran Tao*, Yue Wang

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

33 Citations (Scopus)

Abstract

The linear canonical transform (LCT) has been shown to be a powerful tool for signal processing and optics. This paper investigates the signal moments and uncertainty relations in the LCT domain. Firstly, some important properties of signal moments in the LCT domain are derived. Then some new Heisenberg's uncertainty relations for complex signals are proposed. The tighter lower bounds are related to the covariance of time and frequency and can be achieved by complex chirp signals with Gaussian envelope. The previously developed Heisenberg's uncertainty principles are special cases of the achieved results.

Original languageEnglish
Pages (from-to)2686-2689
Number of pages4
JournalSignal Processing
Volume90
Issue number9
DOIs
Publication statusPublished - Sept 2010

Keywords

  • Heisenberg's uncertainty principle
  • Linear canonical transform
  • Signal moment

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