Dithered lattice-based quantizers for multiple descriptions

Yael Frank-Dayan*, Ram Zamir

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

31 Scopus citations


Multiple description (MD) source coding is aimed at achieving graceful degradation in reconstruction with respect to losing portions of the code, with the cost of some redundancy. We examine MD schemes which use entropy-coded dithered lattice quantizers (ECDQ). We propose two techniques, one based on successive refinement (SR), and the other a dithered and periodic version of the MD scalar quantizer (MDSQ) with distributed cells proposed by Vaishampayan. Similarly to the single description case, both techniques are universal in nature, and are equivalent to additive noise channels. This allows to derive analytical expressions for the rate-distortion performance for general sources, and to compare them to the optimal rate regions at both high and low resolutions. Among other results, we establish that while the dithered MDSQ scheme loses only the space filling loss of the scalar lattice at any resolution, the SR-based scheme loses an additional 0.5 bit at any lattice dimension. Possible improvements, such as "refinement time sharing" and "dependent dithering" are discussed.

Original languageEnglish
Pages (from-to)192-204
Number of pages13
JournalIEEE Transactions on Information Theory
Issue number1
StatePublished - Jan 2002


FundersFunder number
Israel Academy of Science
Israel Science Foundation


    • Dithered quantization
    • Lattice quantizers
    • Multiple descriptions (MDs)
    • Successive refinement (SR)
    • Universal quantization


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