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A Note on Reassigned Gabor Spectrograms of Hermite Functions

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Abstract

An explicit form is given for the reassigned Gabor spectrogram of an Hermite function of arbitrary order. It is shown that the energy concentration sharply localizes outside the border of a clearance area limited by the “classical” circle where the Gabor spectrogram attains its maximum value, with a perfect localization that can only be achieved in the limit of infinite order.

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Authors and Affiliations

  1. École Normale Supérieure de Lyon, Laboratoire de Physique (UMR 5672 CNRS), 46 allée d’Italie, 69364, Lyon Cedex 07, France

    Patrick Flandrin

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  1. Patrick Flandrin
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Correspondence to Patrick Flandrin.

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Communicated by Hans G. Feichtinger.

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Flandrin, P. A Note on Reassigned Gabor Spectrograms of Hermite Functions. J Fourier Anal Appl 19, 285–295 (2013). https://doi.org/10.1007/s00041-012-9253-2

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  • DOI: https://doi.org/10.1007/s00041-012-9253-2

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