Gabor’s Signal Expansion Based on a Nonorthogonal Sampling Geometry

Bastiaans, Martin J., Technische Univ. Eindhoven

doi:10.1117/3.2265058.ch4

Book: Optical Information Processing: A Tribute to Adolf Lohmann

Editor(s): H. John Caulfield

Author(s): Martin Bastiaans

Published: 2002

https://doi.org/10.1117/3.2265058.ch4

Author Affiliations +

Abstract

In 1946, Gabor suggested the representation of a time signal in a combined time frequency domain; in particular he proposed to represent the signal as a superposition of shifted and modulated versions of a so-called elementary signal or synthesis window g(t). Moreover, as a synthesis window g(t) he chose a Gaussian signal, with Fourier transform, because such a signal has a good localization, both in the time domain and in the frequency domain.