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2011•Electronics LettersRequires access

Source coding with Tsallis entropy

François Chapeau‐Blondeau, Agnès Delahaies, David Rousseau

Open publisher page 13 citations

Abstract

An extension is presented to the source coding theorem traditionally based on the Shannon entropy and later generalised to the Rényi entropy. Another possible generalisation is demonstrated, with a lower bound realised by the Tsallis entropy, when the performance is measured by the generalised average coding length which is exhibited, and with the optimal codelengths expressed from the escort probability distribution, also known in nonextensive thermodynamics.

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What this paper is about

An extension is presented to the source coding theorem traditionally based on the Shannon entropy and later generalised to the Rényi entropy. Another possible generalisation is demonstrated, with a lower bound realised by the Tsallis entropy, when the performance is measured by the generalised average coding length which is exhibited, and with the optimal codelengths expressed from the escort probability distribution, also known in nonextensive thermodynamics.

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OpenAlex reports 13 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

An extension is presented to the source coding theorem traditionally based on the Shannon entropy and later generalised to the Rényi entropy. Another possible generalisation is demonstrated, with a lower bound realised by the Tsallis entropy, when the performance is measured by the generalised average coding length which is exhibited, and with the optimal codelengths expressed from the escort probability distribution, also known in nonextensive thermodynamics.

Key concepts: Tsallis entropy, Shannon's source coding theorem, Min entropy, Statistical physics, Mathematics, Rényi entropy, Entropy (arrow of time), Maximum entropy thermodynamics

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