Multistage successive refinement for Wyner-Ziv source coding with degraded side informations
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We provide a complete characterization of rate region for the multistage successive refinement of Wyner-Ziv source coding problem with degraded side information at the decoder. This problem was left open in a recent, work by Steinberg and Merhav (T-IT, 2004), where it was solved for the special case of two stages. Furthermore, we introduce the notion of generalized successively refinabillty with multiple side Informations. This captures whether progressive encoding to satisfy the distortion constraints for different side information is as good as encoding without progressive requirement. For degraded side-information, we give necessary and sufficient conditions for generalized successive refinability. Using this, we show that for Gaussian source, the failure of being successively refinable with multiple side informations is only due to the inherent uncertainty on which side Information will occur at the decoder, but not the progressive encoding requirement. 2006 IEEE.
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2006 IEEE International Symposium on Information Theory