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Rate-distortion results for Generalized Gaussian distributions

Aurélia Fraysse 1 Béatrice Pesquet-Popescu 1 Jean-Christophe Pesquet 2
1 LTCI - Laboratoire Traitement et Communication de l'Information
2 ligm - Laboratoire d'Informatique Gaspard-Monge
Abstract : In this paper, we provide operational rate-distortion results for memoryless generalized Gaussian sources. Close approximations of the entropy are provided for these sources, after a uniform scalar quantization at low/high resolution. Asymptotic expressions of the distortion for an arbitrary p-th order error measure are also given. The resulting approximations at low/high bitrate of the operational rate-distortion function are thus compared with the Shannon optimal bound showing the overall good performance of uniform quantization rules.
Keywords : Gaussian distributions asymptotic performances generalized Gaussian distributions scalar quantization rate-distortion
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Conference papers
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https://hal-upec-upem.archives-ouvertes.fr/hal-00621907
Contributor : Jean-Christophe Pesquet <>
Submitted on : Sunday, September 11, 2011 - 4:11:42 PM
Last modification on : Wednesday, June 24, 2020 - 4:19:00 PM

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CNRS | ENPC | PARISTECH | UNIV-MLV | LIGM_SIGNAL | LIGM | UPEC-UPEM | INSTITUT-TELECOM | LTCI

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Aurélia Fraysse, Béatrice Pesquet-Popescu, Jean-Christophe Pesquet. Rate-distortion results for Generalized Gaussian distributions. IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP'08), 2008, Las Vegas, United States. pp.3753-3756, ⟨10.1109/ICASSP.2008.4518469⟩. ⟨hal-00621907⟩

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