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

Phase spaces are different ways to represent signals. Owing to their proper ties, they are often used for signal compression and recognition with high discrimination abilities. We present several recently introduced Wigner-rel ated sets of representations that have improved signal processing performan ce, and we introduce an optical implementation. This study deals with the g eneralized Wigner spaces, the fractional Fourier transform, and the alpha - p and the r-p representations, The optical implementations are demonstrated and discussed. (C) 2000 Optical Society of America [S0740-3232(00)02312-7] OCIS code: 070.2590.