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successive coding of Correlated Sources

IEEE TRANSACTIONS ON INFORMATION THEORY 2009年第9期55卷 4286-4298页

作者： Nayak, Jayanth Tuncel, Ertem Univ Calif Riverside Dept Elect Engn Riverside CA 92521 USA

The rate-distortion (RD) problem for two-layer coding of a pair (X, Y) of correlated sources is considered. The first layer information enables reconstruction of within a certain distortion D-X while reception of both layers additionally enables reconstruction of Y within distortion D-Y. Although this problem is a special case of the successive refinement problem, the computation of the RD region for this scenario is nontrivial. Using a general class of outer bounds (analogous to Shannon lower bound in the classical RD theory) to the successive refinement rate-distortion region, the successive coding RD region for the case where (X, Y) is a jointly Gaussian pair and the distortion measure is squared-error is explicitly characterized.

关键词： Rate-distortion (RD) Shannon lower bound successive coding successive refinement

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successive coding in multiuser information theory

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IEEE TRANSACTIONS ON INFORMATION THEORY 2007年第6期53卷 2246-2254页

作者： Zhang, Xin Chen, Jun Wicker, Stephen B. Berger, Toby Cornell Univ Sch Elect & Comp Engn Ithaca NY 14853 USA

In this correspondence, we show that solutions to the multiple description coding problem and the broadcast channel coding problem share a common encoding procedure: successive source encoding. We use this connection as the basis for establishing connections between the achievable multiple description rate region and Marton's region for broadcast channels. Specifically, we show that Marton's encoding scheme can be viewed as a multiple description coding procedure. We also explore the dual problem, namely, the relationship between successive channel decoding in multiple access communication and distributed source coding. By illuminating these connections to multiple description, we hope to motivate a solution to what remains a mostly unsolved problem.

关键词： broadcast channel dirty paper coding distributed source coding Gram-Schmidt orthogonalization multiple access multiple descriptions successive coding

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successive coding of Correlated Sources

Successive Coding of Correlated Sources

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IEEE International Symposium on Information Theory

作者： Nayak, Jayanth Tuncel, Ertem Univ Calif Riverside Dept Elect Engn Riverside CA 92521 USA

ISBN: (纸本)1424414296

关键词： Rate-distortion (RD) Shannon lower bound successive coding successive refinement

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successive coding strategy in the m-helper problem

Successive coding strategy in the <i>m-helper</i> problem

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IEEE International Symposium on Information Theory

作者： Behroozi, Hamid Soleymani, M. Reza Concordia Univ Elect & Comp Engn Dept Montreal PQ Canada

ISBN: (纸本)9781424405053

We evaluate the performance of the successive coding strategy for the problem of multiterminal lossy coding of correlated Gaussian sources. We consider the m-helper problem for the special case of m = 1 where one source provides partial side information to the decoder to help reconstruction of the main source signal. Our results reconfirm the fact that the successive coding strategy is an optimal strategy in sense of achieving the rate-distortion function of the 1-helper problem. Comparing the performance of the sequential coding with the performance of the successive coding, we show that there is no sum rate loss when the side information is not available at the encoder. Finally, based on the successive coding strategy, we provide an achievable rate-distortion region for the m-helper problem.

关键词： multiterminal source coding partial side information rate-distortion region successive coding sequential coding

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successively Structured Gaussian Two-terminal Source coding

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WIRELESS PERSONAL COMMUNICATIONS 2009年第4期48卷 485-510页

作者： Behroozi, Hamid Soleymani, M. Reza Queens Univ Dept Math & Stat Kingston ON K7L 3N6 Canada Concordia Univ Dept Elect & Comp Engn Montreal PQ H3G 1M8 Canada

Multiterminal source coding refers to separate encoding and joint decoding of multiple correlated sources. Joint decoding requires all the messages to be decoded simultaneously which is exponentially more complex than a sequence of single-message decodings. Inspired by previous work on successive coding, we apply the successive Wyner-Ziv coding, which is inherently a low complexity approach of obtaining a prescribed distortion, to the two-terminal source coding scheme. First, we consider 1-helper problem where one source provides partial side information to the decoder to help the reconstruction of the main source. Our results show that the successive coding strategy is an optimal strategy in the sense of achieving the rate-distortion function. By developing connections between source encoding and data fusion steps, it is shown that the whole rate-distortion region for the 2-terminal source coding problem is achievable using the successive coding strategy. Comparing the performance of the sequential coding with the performance of the successive coding, we show that there is no sum-rate loss when the side information is not available at the encoder. This result is of special interest in some applications such as video coding where there are processing and storage constraints at the encoder. Finally, we provide an achievable rate-distortion region for the m-terminal source coding.

关键词： Multiterminal source coding m-helper problem Partial side information Rate-distortion region successive coding Sequential coding

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IEEE International Conference on Communications (ICC 2007)

作者： Behroozi, Hamid Soleymani, M. Reza Concordia Univ Dept Elect & Comp Engn Montreal PQ H3G 1M8 Canada

ISBN: (纸本)9781424403523

We consider 1-helper problem in which one source provides partial side information to the fusion center (FC) to help reconstruction of the main source signal. Both sources communicate information about their observations to the FC through an additive white Gaussian multiple access channel (MAC) without cooperating with each other. Two types of MAC are considered: orthogonal MAC and interfering (non-orthogonal) MAC. We characterize the tradeoff between the transmission cost, i.e., power, and the estimation distortion, D, using Shannon's separation source and channel coding theorem. We demonstrate that the separation-based coding strategy outperforms the uncoded transmission under an orthogonal MAC. However, in the symmetric case under an interfering MAC, below a certain signal-to-noise ratio (SNR) threshold, uncoded transmission outperforms the separation-based scheme. The threshold can be determined in terms of the correlation coefficient between the sources, rho, and in fact is an increasing function of rho. Finally, the optimal power scheduling to minimize the total power consumption in the network is derived.

关键词： source coding partial side information rate-distortion function successive coding

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