A Ziv-Zakai-Rényi lower bound on distortion at high resolution

Itai Leibowitz, Ram Zamir

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

We follow a method introduced by Ziv and Zakai for finding 'informational' lower bounds on delay constrained joint source-channel coding. Their method uses the data processing theorem for generalized measures of information. We introduce the use of Rényi's information of order α in their framework, and use high-resolution approximations to find its rate distortion function for a source that possesses a smooth distribution with rth-power distortion. This allows us to present two new lower bounds, one on the distortion in fixed rate vector quantization, and the other on the transmission through low-dimensional modulo-lattice additive noise channels.

Original languageEnglish
Title of host publication2008 IEEE Information Theory Workshop, ITW
Pages174-178
Number of pages5
DOIs
StatePublished - 2008
Event2008 IEEE Information Theory Workshop, ITW - Porto, Portugal
Duration: 5 May 20089 May 2008

Publication series

Name2008 IEEE Information Theory Workshop, ITW

Conference

Conference2008 IEEE Information Theory Workshop, ITW
Country/TerritoryPortugal
CityPorto
Period5/05/089/05/08

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