Channel Coding in the Presence of Side Information
Foundations and Trends in Communications and Information Theory
Joint Wyner-Ziv/dirty-paper coding by modulo-lattice modulation
IEEE Transactions on Information Theory
On successive refinement for the Kaspi/Heegard-Berger problem
IEEE Transactions on Information Theory
Joint source channel coding with side information using hybrid digital analog codes
IEEE Transactions on Information Theory
Proceedings of the 5th International ICST Conference on Performance Evaluation Methodologies and Tools
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We consider the problem of lossy joint source-channel coding in a communication system where the encoder has access to channel state information (CSI) and the decoder has access to side information that is correlated to the source. This configuration combines the Wyner-Ziv (1976) model of pure lossy source coding with side information at the decoder and the Shannon/Gel'fand-Pinsker (1958, 1980) model of pure channel coding with CSI at the encoder. We prove a separation theorem for this communication system, which asserts that there is no loss in asymptotic optimality in applying, first, an optimal Wyner-Ziv source code and, then, an optimal Gel'fand-Pinsker channel code. We then derive conditions for the optimality of a symbol-by-symbol (scalar) source-channel code, and demonstrate situations where these conditions are met. Finally, we discuss a few practical applications, including overlaid communication where the model under discussion is useful.