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Conference Paper: An Elementary Proof of a Classical Information-Theoretic Formula
Title | An Elementary Proof of a Classical Information-Theoretic Formula |
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Authors | |
Issue Date | 2019 |
Citation | 2019 Information Theory and Applications (ITA) Workshop, San Diego, USA, 10-15 February 2019 How to Cite? |
Abstract | A renowned information-theoretic formula by Shannon expresses the mutual information rate of a white Gaussian channel with a stationary Gaussian input as an integral of a simple function of the power spectral density of the channel input. We give in this paper a rigorous yet elementary proof of this classical formula. As opposed to all the conventional approaches, which either rely on heavy mathematical machineries or have to resort to some ``external'' results, our proof, which hinges on a recently proven sampling theorem, is elementary and self-contained, only using some well-known facts from basic calculus and matrix theory. |
Description | Comfort Class: Information-Related |
Persistent Identifier | http://hdl.handle.net/10722/279677 |
DC Field | Value | Language |
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dc.contributor.author | Liu, X | - |
dc.contributor.author | Bustin, R | - |
dc.contributor.author | Han, G | - |
dc.contributor.author | Shamai, S | - |
dc.date.accessioned | 2019-11-28T07:46:23Z | - |
dc.date.available | 2019-11-28T07:46:23Z | - |
dc.date.issued | 2019 | - |
dc.identifier.citation | 2019 Information Theory and Applications (ITA) Workshop, San Diego, USA, 10-15 February 2019 | - |
dc.identifier.uri | http://hdl.handle.net/10722/279677 | - |
dc.description | Comfort Class: Information-Related | - |
dc.description.abstract | A renowned information-theoretic formula by Shannon expresses the mutual information rate of a white Gaussian channel with a stationary Gaussian input as an integral of a simple function of the power spectral density of the channel input. We give in this paper a rigorous yet elementary proof of this classical formula. As opposed to all the conventional approaches, which either rely on heavy mathematical machineries or have to resort to some ``external'' results, our proof, which hinges on a recently proven sampling theorem, is elementary and self-contained, only using some well-known facts from basic calculus and matrix theory. | - |
dc.language | eng | - |
dc.relation.ispartof | The 2019 Information Theory and Applications (ITA) Workshop | - |
dc.title | An Elementary Proof of a Classical Information-Theoretic Formula | - |
dc.type | Conference_Paper | - |
dc.identifier.email | Han, G: ghan@hku.hk | - |
dc.identifier.authority | Han, G=rp00702 | - |
dc.identifier.hkuros | 305693 | - |