Abstract

The Gabor expansion of an arbitrary optical signal in terms of Gaussian signals that form an N3M truncated von Neumann lattice in the time-frequency plane is studied. The accuracy of the expansion for various values of (N,M) and various widths of the Gaussians is exam- ined. The accuracy of the method is also demonstrated by comparing and contrasting the Wigner function for both the original and recon- structed signals. Practical implementation of the method through ''Gabor analyzers'' that directly measure the Gabor coefficients of optical signals is also discussed. © 2000 Society of Photo-Optical Instrumentation Engineers. (S0091-3286(00)02507-1)

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