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- Publisher Website: 10.1109/ISIT.2019.8849415
- Scopus: eid_2-s2.0-85073162011
- WOS: WOS:000489100301097
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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 |
Publisher | I E E E. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/conhome.jsp?punumber=1000369 |
Citation | The 2019 IEEE International Symposium on Information Theory (ISIT), Paris, France, 7-12 July 2019, p. 1392-1396 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. |
Persistent Identifier | http://hdl.handle.net/10722/277280 |
ISSN | |
ISI Accession Number ID |
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 | 2019-09-20T08:48:01Z | - |
dc.date.available | 2019-09-20T08:48:01Z | - |
dc.date.issued | 2019 | - |
dc.identifier.citation | The 2019 IEEE International Symposium on Information Theory (ISIT), Paris, France, 7-12 July 2019, p. 1392-1396 | - |
dc.identifier.issn | 0271-4655 | - |
dc.identifier.uri | http://hdl.handle.net/10722/277280 | - |
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.publisher | I E E E. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/conhome.jsp?punumber=1000369 | - |
dc.relation.ispartof | IEEE International Symposium on Information Theory (ISIT) Proceedings | - |
dc.rights | IEEE International Symposium on Information Theory (ISIT) Proceedings. Copyright © I E E E. | - |
dc.rights | ©2019 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. | - |
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.doi | 10.1109/ISIT.2019.8849415 | - |
dc.identifier.scopus | eid_2-s2.0-85073162011 | - |
dc.identifier.hkuros | 305688 | - |
dc.identifier.spage | 1392 | - |
dc.identifier.epage | 1396 | - |
dc.identifier.isi | WOS:000489100301097 | - |
dc.publisher.place | United States | - |
dc.identifier.issnl | 0271-4655 | - |