File Download

There are no files associated with this item.

  Links for fulltext
     (May Require Subscription)
Supplementary

Conference Paper: An Elementary Proof of a Classical Information-Theoretic Formula

TitleAn Elementary Proof of a Classical Information-Theoretic Formula
Authors
Liu, XBustin, RHan, GShamai, S
Issue Date2019
PublisherI 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?
DOI: http://dx.doi.org/10.1109/ISIT.2019.8849415
AbstractA 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 Identifierhttp://hdl.handle.net/10722/277280
ISSN
0271-4655
ISI Accession Number ID
WOS:000489100301097

 

DC FieldValueLanguage
dc.contributor.authorLiu, X-
dc.contributor.authorBustin, R-
dc.contributor.authorHan, G-
dc.contributor.authorShamai, S-
dc.date.accessioned2019-09-20T08:48:01Z-
dc.date.available2019-09-20T08:48:01Z-
dc.date.issued2019-
dc.identifier.citationThe 2019 IEEE International Symposium on Information Theory (ISIT), Paris, France, 7-12 July 2019, p. 1392-1396-
dc.identifier.issn0271-4655-
dc.identifier.urihttp://hdl.handle.net/10722/277280-
dc.description.abstractA 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.languageeng-
dc.publisherI E E E. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/conhome.jsp?punumber=1000369-
dc.relation.ispartofIEEE International Symposium on Information Theory (ISIT) Proceedings-
dc.rightsIEEE 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.titleAn Elementary Proof of a Classical Information-Theoretic Formula -
dc.typeConference_Paper-
dc.identifier.emailHan, G: ghan@hku.hk-
dc.identifier.authorityHan, G=rp00702-
dc.identifier.doi10.1109/ISIT.2019.8849415-
dc.identifier.scopuseid_2-s2.0-85073162011-
dc.identifier.hkuros305688-
dc.identifier.spage1392-
dc.identifier.epage1396-
dc.identifier.isiWOS:000489100301097-
dc.publisher.placeUnited States-
dc.identifier.issnl0271-4655-

Export via OAI-PMH Interface in XML Formats

OR

Export to Other Non-XML Formats