Elements of information theory
Elements of information theory
Error control systems for digital communication and storage
Error control systems for digital communication and storage
FOCS '02 Proceedings of the 43rd Symposium on Foundations of Computer Science
IEEE/ACM Transactions on Networking (TON) - Special issue on networking and information theory
Binary erasure multiple descriptions: worst-case distortion
ISIT'09 Proceedings of the 2009 IEEE international conference on Symposium on Information Theory - Volume 1
Binary erasure multiple descriptions: worst-case distortion
ISIT'09 Proceedings of the 2009 IEEE international conference on Symposium on Information Theory - Volume 1
Suppressing the Cliff Effect in Video Reproduction Quality
Bell Labs Technical Journal
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We consider a binary erasure version of the n- channel multiple descriptions problem with no excess rate and no distortion for every k out of n descriptions, i.e., any subset of k messages has a total rate of one and allows for perfect reconstruction of the source. Using a worst-case distortion criterion, we present an explicit coding scheme based on Reed-Solomon codes and, for any n and k, characterize its achievable distortion region when m k messages are received at the decoder. We prove that this scheme is Pareto optimal in the achievable distortions for all n and k for any number of received messages at the decoder, and is optimal for all n and k when a single message is received. We also provide optimality results for a certain range of values of n and k.