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Time-frequency localization for the short time Fourier transform |
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| Authors: | H Lamouchi |
| Institution: | Institut préparatoire aux études d'ingénieurs de tunis, Montfleury Tunis, Tunisie |
| Abstract: | We use some estimating of orthogonal projection in a reproducing kernel Hilbert space, to prove a sharp quantitaive form of Shapiro's mean dispersion theroem with generalized dispersion for the short time Fourier transform. Other forms of localization of orthonormal sequences in L2?d) notably the umbrella theorem, are also proved for the short time Fourier transform. |
| Keywords: | Short time Fourier transform uncertainty principle orthonormal sequence timefrequency localization dispersion principle Shapiro's theorem Heisenberg inequality umbrella theorem |