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We consider the problem of multiple descriptions (MD) source coding andpropose new coding strategies involving both unstructured and structured codinglayers. Previously, the most general achievable rate-distortion (RD) region forthe $l$-descriptions problem was the Combinatorial Message Sharing with Binning(CMSB) region. The CMSB scheme utilizes unstructured quantizers andunstructured binning. In the first part of the paper, we show that thisstrategy can be improved upon using more general unstructured quantizers and amore general unstructured binning method. In the second part, structured codingstrategies are considered. First, structured coding strategies are developed byconsidering specific MD examples involving three or more descriptions. We showthat application of structured quantizers results in strict RD improvementswhen there are more than two descriptions. Furthermore, we show that structuredbinning also yields improvements. These improvements are in addition to theones derived in the first part of the paper. This suggests that structuredcoding is essential when coding over more than two descriptions. Using theideas developed through these examples we provide a new unified coding strategyby considering several structured coding layers. Finally, we characterize itsperformance in the form of an inner bound to the optimal rate-distortion regionusing computable single-letter information quantities. The new RD regionstrictly contains all of the previous known achievable regions.

An Achievable Rate-Distortion Region for Multiple Descriptions Source Coding Based on Coset Codes