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Wyner-Ziv Coding Based on Multidimensional Nested Lattices

Abstract : Distributed source coding addresses the compression of correlated sources without communication links among them. This paper is concerned with the Wyner-Ziv problem: coding of an information source with side information available only at the decoder in the form of a noisy version of the source. Both the problems of theoretical analysis and code design are addressed in the framework of multi-dimensional nested lattice coding. For theoretical analysis, accurate computation of the rate-distortion function is given under the high-resolution assumption, and a new upper bound using the derivative of the theta series is derived. For practical code design, several low-complexity techniques are proposed. Compared to the existing Slepian-Wolf coded nested quantization for Wyner-Ziv coding based on one or two-dimensional lattices, our proposed multi-dimensional lattice coding can offer better performance at arguably lower complexity, since it does not require the second stage of Slepian-Wolf coding.
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Submitted on : Thursday, April 18, 2013 - 4:31:03 PM
Last modification on : Tuesday, January 18, 2022 - 2:26:04 PM


  • HAL Id : hal-00815434, version 1


Cong Ling, Su Gao, Jean-Claude Belfiore. Wyner-Ziv Coding Based on Multidimensional Nested Lattices. IEEE Transactions on Communications, 2012, 60 (5), pp.1328-1335. ⟨hal-00815434⟩



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