Multiple description vector quantization with a coarse lattice

Vivek K. Goyal, Jonathan A. Kelner, Jelena Kovačević

Research output: Contribution to journalArticlepeer-review


A multiple description (MD) lattice vector quantization technique for two descriptions was recently introduced in which fine and coarse codebooks are both lattices. The encoding begins with quantization to the nearest point in the fine lattice. This encoding is an inherent optimization for the decoder that receives both descriptions; performance can be improved with little increase in complexity by considering all decoders in the initial encoding step. The altered encoding relies only on the symmetries of the coarse lattice. This allows us to further improve performance without a significant increase in complexity by replacing the fine lattice codebook with a nonlattice codebook that respects many of the symmetries of the coarse lattice. Examples constructed with the two-dimensional (2-D) hexagonal lattice demonstrate large improvement over time sharing between previously known quantizers.

Original languageEnglish (US)
Pages (from-to)781-788
Number of pages8
JournalIEEE Transactions on Information Theory
Issue number3
StatePublished - Mar 2002


  • Codebook optimization
  • High-rate source coding
  • Lattice vector quantization

ASJC Scopus subject areas

  • Information Systems
  • Computer Science Applications
  • Library and Information Sciences


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