Rate distortion when side information may be absent
IEEE Transactions on Information Theory
Elements of information theory
Elements of information theory
Channels with side information at the transmitter
IBM Journal of Research and Development
On successive refinement for the Kaspi/Heegard-Berger problem
IEEE Transactions on Information Theory
Systematic lossy source/channel coding
IEEE Transactions on Information Theory
On joint source-channel coding for the Wyner-Ziv source and the Gel'fand-Pinsker channel
IEEE Transactions on Information Theory
On successive refinement for the Wyner-Ziv problem
IEEE Transactions on Information Theory
On hierarchical joint source-channel coding with degraded side information
IEEE Transactions on Information Theory
Source Coding With Limited-Look-Ahead Side Information at the Decoder
IEEE Transactions on Information Theory
On Multistage Successive Refinement for Wyner–Ziv Source Coding With Degraded Side Informations
IEEE Transactions on Information Theory
On Successive Refinement With Causal Side Information at the Decoders
IEEE Transactions on Information Theory
On successive refinement for the Kaspi/Heegard-Berger problem
IEEE Transactions on Information Theory
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Consider a source that produces independent copies of a triplet of jointly distributed random variables {Xi, Yi, Zi}i∞=1. The process {Xi} is observed at the encoder, and is supposed to be reproduced at two decoders, decoder Y and decoder Z, where {Yi} and {Zi} are observed, respectively, in either a causal or non-causal manner. The communication between the encoder and the decoders is carried in two successive stages. In the first stage, the transmission is available to both decoders and they reconstruct the source according to the received bit-stream and the individual side information ({Zi} or {Yi}). In the second stage, additional information is sent to both decoders and they refine the reconstructions of the source according to the available side information and the transmissions at both stages. It is desired to find the necessary and sufficient conditions on the communication rates between the encoder and decoders, so that the distortions incurred (at each stage) will not exceed given thresholds. For the case of causal availability of side information at the decoders, an exact single-letter characterization of the achievable region is derived for the case of pure source-coding. Then, for the case of communication between the encoder and decoders carried over independent memoryless discrete channels with random states known causally/noncausally at the encoder and with causal side information about the source at the decoders, a single-letter characterization of all achievable distortion in both stages is provided and it is shown that the separation theorem holds. The results are derived without assuming any structural restrictions on side information, such as a Markov structure, etc. Finally, for noncausal degraded side information, inner and outer bounds to the achievable rate-distortion region are derived. These bounds are shown to be tight for certain cases of reconstruction requirements at the decoders. Due to the system setup, these results also shed some light on a problem of successive refinement with side information which is not degraded in the usual sense.