Quantitative uncertainty principles for the short time Fourier transform and the radar ambiguity function

H. Lamouchi () and S. Omri ()
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H. Lamouchi: Institut préparatoire aux études d’ingénieurs de Tunis
S. Omri: Institut préparatoire aux études d’ingénieurs El Manar, Compus universitaire El Manar

Indian Journal of Pure and Applied Mathematics, 2017, vol. 48, issue 1, 147-161

Abstract: Abstract Logarithmic uncertainty principle and Beckner’s uncertainty principle in terms of entropy are proved for the short time Fourier transform and the radar ambiguity function, also a Heisenberg inequality for generalized dispersion and Price’s local uncertainty principle are obtained.

Keywords: Short time Fourier transform; Radar ambiguity function; uncertainty principle; time-frequency analysis; localization; logarithmic Beckner’s theorem; entropy; generalized dispersion; Heisenberg inequality; Price’s theorem; local uncertainty principle (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s13226-017-0216-9

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