Multiple-description vector quantization with lattice codebooks: design and analysis
Vinay A. Vaishampayan, Neil J.A. Sloane, S.D. Servetto · IEEE Transactions on Information Theory · 2001
The problem of designing a multiple-description vector quantizer with lattice codebook /spl Lambda/ is considered. A general solution is given to a labeling problem which plays a crucial role in the design of such quantizers. Numerical performance results are obtained for quantizers based on the lattices A/sub 2/ and Z/sup i/, i=1, 2, 4, 8, that make use of this labeling algorithm. The high-rate squared-error distortions for this family of L-dimensional vector quantizers are then analyzed for a memoryless source with probability density function (PDF) p and differential entropy h(p)