Joint Entropy-Constrained Multiterminal Quantization

Jean Cardinal and Gilles Van Assche

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Abstract

As a rate-distortion extension to the Slepian-Wolf problem, we study the entropy-constrained design of a multiterminal quantizer for coding two correlated continuous sources. The designed quantizer can then be combined with a lossless encoder operating close to the Slepian-Wolf bound. Two design methods are presented, both optimizing a Lagrangian cost measure involving the distortion and the information rate. The first method is a simple descent algorithm, while the second is based on index reuse of a high-resolution quantizer. Numerical results are displayed. The soundness of the index reuse method is shown, while confirming the advantages of entropy constraints over simple entropy limitations.