Wigner-related phase spaces for signal processing and their optical implementation

David Mendlovic, Zeev Zalevsky, Haldun M. Ozaktas

Research output: Contribution to journalArticlepeer-review


Phase spaces are different ways to represent signals. Owing to their properties, they are often used for signal compression and recognition with high discrimination abilities. We present several recently introduced Wigner-related sets of representations that have improved signal processing performance, and we introduce an optical implementation. This study deals with the generalized Wigner spaces, the fractional Fourier transform, and the x – p and the r – p representations. The optical implementations are demonstrated and discussed.

Original languageEnglish
Pages (from-to)2339-2354
Number of pages16
JournalJournal of the Optical Society of America A: Optics and Image Science, and Vision
Issue number12
StatePublished - 2000


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