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Chapter 4: Gabor’s Signal Expansion Based on a Nonorthogonal Sampling Geometry
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.
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