dorsal/arxiv
View SchemaEntropy in Signal Processing (Entropie en Traitement du Signal)
| Authors | Ali Mohammad-Djafari |
|---|---|
| Categories | |
| ArXiv ID | physics/0111021 |
| URL | https://arxiv.org/abs/physics/0111021 |
Abstract
R\'esum\'e: Le principal objet de cette communication est de faire une r\'etro perspective succincte de l'utilisation de l'entropie et du principe du maximum d'entropie dans le domaine du traitement du signal. Apr\`es un bref rappel de quelques d\'efinitions et du principe du maximum d'entropie, nous verrons successivement comment l'entropie est utilis\'ee en s\'eparation de sources, en mod\'elisation de signaux, en analyse spectrale et pour la r\'esolution des probl\`emes inverses lin\'eaires. Mots cl\'es : Entropie, Entropie crois\'ee, Distance de Kullback, Information mutuelle, Estimation spectrale, Probl\`emes inverses Abstract: The main object of this work is to give a brief overview of the different ways the entropy has been used in signal and image processing. After a short introduction of different quantities related to the entropy and the maximum entropy principle, we will study their use in different fields of signal processing such as: source separation, model order selection, spectral estimation and, finally, general linear inverse problems. Keywords : Entropy, Relative entropy, Kullback distance, Mutual information, Spectral estimation, Inverse problems.
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"abstract": "R\\\u0027esum\\\u0027e: Le principal objet de cette communication est de faire une\nr\\\u0027etro perspective succincte de l\u0027utilisation de l\u0027entropie et du principe du\nmaximum d\u0027entropie dans le domaine du traitement du signal. Apr\\`es un bref\nrappel de quelques d\\\u0027efinitions et du principe du maximum d\u0027entropie, nous\nverrons successivement comment l\u0027entropie est utilis\\\u0027ee en s\\\u0027eparation de\nsources, en mod\\\u0027elisation de signaux, en analyse spectrale et pour la\nr\\\u0027esolution des probl\\`emes inverses lin\\\u0027eaires. Mots cl\\\u0027es : Entropie,\nEntropie crois\\\u0027ee, Distance de Kullback, Information mutuelle, Estimation\nspectrale, Probl\\`emes inverses\n Abstract: The main object of this work is to give a brief overview of the\ndifferent ways the entropy has been used in signal and image processing. After\na short introduction of different quantities related to the entropy and the\nmaximum entropy principle, we will study their use in different fields of\nsignal processing such as: source separation, model order selection, spectral\nestimation and, finally, general linear inverse problems. Keywords : Entropy,\nRelative entropy, Kullback distance, Mutual information, Spectral estimation,\nInverse problems.",
"arxiv_id": "physics/0111021",
"authors": [
"Ali Mohammad-Djafari"
],
"categories": [
"physics.data-an"
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"title": "Entropy in Signal Processing (Entropie en Traitement du Signal)",
"url": "https://arxiv.org/abs/physics/0111021"
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