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Cascade and triangular source coding With Side Information at the First Two Nodes

IEEE TRANSACTIONS ON INFORMATION THEORY 2012年第6期58卷 3339-3349页

作者： Permuter, Haim H. Weissman, Tsachy Ben Gurion Univ Negev Dept Elect & Comp Engn IL-84105 Beer Sheva Israel Stanford Univ Dept Elect Engn Stanford CA 94305 USA

We consider the cascade and triangular rate-distortion problem where side information is known to the source encoder and to the first user but not to the second user. We characterize the rate-distortion region for these problems, as well as some of their extensions. For the quadratic Gaussian case, we show that it is sufficient to consider jointly Gaussian distributions, which leads to an explicit solution.

关键词： Cascade source coding empirical coordination multihop coding Pareto frontier quadratic Gaussian rate distortion side information source coding triangular source coding

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Cascade and triangular source coding with causal side information

Cascade and Triangular source coding with causal side inform...

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IEEE International Symposium on Information Theory (ISIT)

作者： Chia, Yeow-Khiang Weissman, Tsachy Stanford Univ Dept Elect Engn Stanford CA 94305 USA

ISBN: (纸本)9781457705953

We consider cascade and triangular source coding with side information and causal reconstruction at the end node. When the side information at the source and intermediate nodes are the same, we characterize the rate distortion regions for both the cascade and triangular source coding problems. For the general cascade setting with causal reconstruction at the end node, we characterize the rate region when the sources satisfy a positivity condition, or when a Markov chain holds.

关键词： Decoding Markov chain Markov processes Markov processes Random variables Rate-distortion source coding cascade source coding causal reconstruction causal side information intermediate node rate distortion region source coding triangular source coding

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Cascade and triangular source coding with Side Information at the First Two Nodes

Cascade and Triangular Source Coding with Side Information a...

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2010 IEEE International Symposium on Information Theory

作者： Permuter, Haim H. Weissman, Tsachy Ben Gurion Univ Negev Dept Elect & Comp Engn IL-84105 Beer Sheva Israel Dept Elect Engn Stanford CA 94305 USA

ISBN: (纸本)9781424469604

We consider the cascade and triangular rate-distortion problem where side information is known to the source encoder and to the first user but not to the second user. We characterize the rate-distortion region for these problems. For the quadratic Gaussian case, we show that it suffices to consider jointly Gaussian distributions, a fact that leads to an explicit solution.

关键词： Cascade source coding empirical coordination quadratic Gaussian Pareto frontier source coding side information rate distortion triangular source coding

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Cascade, triangular, and Two-Way source coding With Degraded Side Information at the Second User

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IEEE TRANSACTIONS ON INFORMATION THEORY 2012年第1期58卷 189-206页

作者： Chia, Yeow-Khiang Permuter, Haim H. Weissman, Tsachy Stanford Univ Dept Elect Engn Stanford CA 94305 USA Ben Gurion Univ Negev Dept Elect & Comp Engn IL-84105 Beer Sheva Israel

In this paper, we consider the cascade and triangular rate-distortion problems where the same side information is available at the source node and user 1, and the side information available at user 2 is a degraded version of the side information at the source node and user 1. We characterize the rate-distortion region for these problems. For the cascade setup, we show that, at user 1, decoding and rebinning the codeword sent by the source node for user 2 is optimum. We then extend our results to the two-way cascade and triangular setting, where the source node is interested in lossy reconstruction of the side information at user 2 via a rate limited link from user 2 to the source node. We characterize the rate-distortion regions for these settings. Complete explicit characterizations for all settings are given in the quadratic Gaussian case. We conclude with two further extensions: a triangular source coding problem with a helper, and an extension of our two-way cascade setting in the quadratic Gaussian case.

关键词： Cascade source coding triangular source coding two-way source coding quadratic Gaussian source coding with a helper

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