High-Rate Analysis of Symmetric L-Channel Multiple Description Coding
2011 (English)In: IEEE Transactions on Communications, ISSN 0090-6778, E-ISSN 1558-0857, Vol. 59, no 7, 1846-1856 p.Article in journal (Refereed) Published
This paper studies the tight rate-distortion bound for L-channel sym-metric multiple-description coding of a vector Gaussian source with twolevels of receivers. Each of the first-level receivers obtains κ (κ < L) ofthe L descriptions. The second-level receiver obtains all L descriptions.We find that when the theory is applied to the scalar Gaussian source, theproduct of a function of the side distortions (corresponding to the first-level receivers) and the central distortion (corresponding to the second-levelreceiver) is asymptotically independent of the redundancy among the de-scriptions. Using this property, we analyze the asymptotic behavior of apractical multiple-description lattice vector quantizer (MDLVQ). Our anal-ysis includes the treatment of the MDLVQ system from a new geometricviewpoint, which results in an expression for the side distortions using thenormalized second moment of a sphere of higher dimensionality than thequantization space. The expression of the distortion product derived fromthe lower bound is then applied as a criterion to assess the performance lossof the considered MDLVQ system. In principle, the efficiency of other prac-tical MD systems can also be evaluated using the derived distortion product.
Place, publisher, year, edition, pages
2011. Vol. 59, no 7, 1846-1856 p.
Multiple description coding, high-rate quantization, lattice quantizer
Electrical Engineering, Electronic Engineering, Information Engineering
IdentifiersURN: urn:nbn:se:kth:diva-24220DOI: 10.1109/TCOMM.2011.051711.100254ISI: 000293659600013ScopusID: 2-s2.0-79960559600OAI: oai:DiVA.org:kth-24220DiVA: diva2:345502