Wigner distribution and fractional Fourier transform

T. Alieva, M.J. Bastiaans

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

16 Citations (Scopus)
3 Downloads (Pure)

Abstract

The connection between the Wigner distribution and the squared modulus of the fractional Fourier transform - which are both well-known time-frequency representations of a signal - is established. In particular the Radon-Wigner transform is used, which relates projections of the Wigner distribution to the squared modulus of the fractional Fourier transform. Moments of the Wigner distribution are then expressed in terms of moments of the fractional Fourier transform. Relations for the fractional Fourier transform moments are derived, and some new procedures are presented with the help of which Wigner distribution moments can be determined by using the fractional Fourier transform.
Original languageEnglish
Title of host publicationProc. ISSPA 2001, the Sixth International Symposium on Signal Processing and its Applications, Kuala Lumpur, Malaysia
Place of PublicationPiscataway
PublisherInstitute of Electrical and Electronics Engineers
Pages168-169
ISBN (Print)0-7803-6704-9
DOIs
Publication statusPublished - 2001
Eventconference; ISSPA 2001, the Sixth International Symposium on Signal Processing and its Applications, Kuala-Lumpur, Malaysia; 2001-08-13; 2001-08-16 -
Duration: 13 Aug 200116 Aug 2001

Conference

Conferenceconference; ISSPA 2001, the Sixth International Symposium on Signal Processing and its Applications, Kuala-Lumpur, Malaysia; 2001-08-13; 2001-08-16
Period13/08/0116/08/01
OtherISSPA 2001, the Sixth International Symposium on Signal Processing and its Applications, Kuala-Lumpur, Malaysia

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