Wigner distribution and fractional Fourier transform

T. Alieva, M.J. Bastiaans

Research output: Chapter in Book/Report/Conference proceedingChapterAcademicpeer-review

5 Citations (Scopus)

Abstract

We have described the relationship between the fractional Fourier transform and the Wigner distribution by using the Radon-Wigner transform, which is a set of projections of the Wigner distribution as well as a set of squared moduli of the fractional Fourier transform. We have introduced the concept of fractional Fourier transform moments and have proposed a way for the calculation of the well-known global and local moments of the Wigner distribution, based on the knowledge of a few fractional power spectra. The application of the results in optics and signal processing has been discussed briefly.
Original languageEnglish
Title of host publicationTime-frequency signal analysis and processing : a comprehensive reference
EditorsB. Boashash
Place of PublicationOxford, UK
PublisherElsevier
Pages145-152
Number of pages8
ISBN (Print)0-08-044335-4
Publication statusPublished - 2003

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    Alieva, T., & Bastiaans, M. J. (2003). Wigner distribution and fractional Fourier transform. In B. Boashash (Ed.), Time-frequency signal analysis and processing : a comprehensive reference (pp. 145-152). Elsevier.