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Error Exponents for Joint source-Channel coding With side information

IEEE TRANSACTIONS ON information THEORY 2011年第10期57卷 6877-6889页

作者： Chang, Cheng DE Shaw & Co New York NY 10036 USA

In this paper, we study upper and lower bounds on the error exponents for joint source-channel coding with decoder side-information. The results in the paper are nontrivial extensions of Csiszar's classical paper "Joint source-Channel Error Exponent", Problems of Control and information Theory, 1980. Unlike the joint source-channel coding result in Csiszar's paper, it is not obvious whether the lower bound and the upper bound are equivalent even if the channel coding error exponent is known. For a class of channels, including symmetric channels, we apply a game-theoretic result to establish the existence of a saddle point and, hence, prove that the lower and upper bounds are the same if the channel coding error exponent is known. More interestingly, we show that encoder side-information does not increase the error exponents in this case.

关键词： Error exponent error exponent game joint source-channel coding source coding with side-information

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On the Capacity of the Discrete Memoryless Broadcast Channel With Feedback

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IEEE TRANSACTIONS ON information THEORY 2013年第3期59卷 1329-1345页

作者： Shayevitz, Ofer Wigger, Michele Univ Calif San Diego Informat Theory & Applicat Ctr San Diego CA 92093 USA Univ Calif San Diego Dept Elect & Comp Engn La Jolla CA 92093 USA

A coding scheme for the discrete memoryless broadcast channel with {noiseless, noisy, generalized} feedback is proposed, and the associated achievable region derived. The scheme is based on a block-Markov strategy combining the Marton scheme and a lossy version of the Gray-Wyner scheme with side information. In each block, the transmitter sends fresh data and update information that allows the receivers to improve the channel outputs observed in the previous block. For a generalization of Dueck's broadcast channel, our scheme achieves the noiseless-feedback capacity, which is strictly larger than the no-feedback capacity. For a generalization of Blackwell's channel and when the feedback is noiseless, our new scheme achieves rate points that are outside the no-feedback capacity region. It follows by a simple continuity argument that for both these channels and when the feedback noise is sufficiently low, our scheme improves on the no-feedback capacity even when the feedback is noisy.

关键词： Broadcast channel channel capacity distributed source coding feedback source coding with side-information

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