2014Unpublished venueRequires access

New Bounds of a Measure in Information Theory

Mihaela Alexandra Popescu, Oana Slușanschi, Alexandru Corneliu Olteanu, Florin Pop

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Abstract

Shannon Entropy, for discrete-valued random variables, plays an important roles in information theory, with applicability in cryptography and communication theory. The purpose of this paper is to present a new bound for the Shannon Entropy. For this we first present a refinement of Jensen's inequality.

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What this paper is about

Shannon Entropy, for discrete-valued random variables, plays an important roles in information theory, with applicability in cryptography and communication theory. The purpose of this paper is to present a new bound for the Shannon Entropy. For this we first present a refinement of Jensen's inequality.

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Available abstract

Shannon Entropy, for discrete-valued random variables, plays an important roles in information theory, with applicability in cryptography and communication theory. The purpose of this paper is to present a new bound for the Shannon Entropy. For this we first present a refinement of Jensen's inequality.

Key concepts: Information theory, Entropy power inequality, Information diagram, Entropy (arrow of time), Shannon's source coding theorem, Cryptography, Computer science, Measure (data warehouse)

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