On the symmetric Gaussian multiple description rate-distortion function

Chao Tian, Soheil Mohajer, Suhas Diggavi

Research output: Chapter in Book/Report/Conference proceedingConference contribution

5 Scopus citations

Abstract

We consider symmetric multiple description coding for the Gaussian source, and provide upper and lower bounds for the individual description rate-distortion function. One of the main contributions of this work is a novel lower bound on the sum rate under symmetric distortion constraints, which yields a lower bound on the individual rate for the symmetric case. Two upper bounds are derived, the first of which is based on successive refinement coding coupled with multilevel diversity coding (SR-MLD), and the second is based on the multi-layer coding scheme proposed in literature. We show that the gaps between the lower bound and the upper bounds are no larger than certain constants depending only on the number of descriptions, but not the distortion constraints. Moreover, regardless of the number of descriptions, the gap between the lower bound and the upper bound using the SR-MLD coding scheme is less than 1.5 bits, and for the other case, the gap is less than 1 bit.

Original languageEnglish (US)
Title of host publicationProceedings - 2008 Data Compression Conference, DCC 2008
Pages402-411
Number of pages10
DOIs
StatePublished - Sep 1 2008
Event2008 Data Compression Conference, DCC 2008 - Snowbird, UT, United States
Duration: Mar 25 2008Mar 27 2008

Publication series

NameData Compression Conference Proceedings
ISSN (Print)1068-0314

Other

Other2008 Data Compression Conference, DCC 2008
CountryUnited States
CitySnowbird, UT
Period3/25/083/27/08

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