A comparison of layering and stream replication video multicast schemes
NOSSDAV '01 Proceedings of the 11th international workshop on Network and operating systems support for digital audio and video
Reliability criteria in information theory and in statistical hypothesis testing
Foundations and Trends in Communications and Information Theory
Notes on conditions for successive refinement of information
General Theory of Information Transfer and Combinatorics
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Given a discrete memoryless source (DMS) with probability mass function P, we seek first an asymptotically optimal description of the source with distortion not exceeding Δ1, followed by an asymptotically optimal refined description with distortion not exceeding Δ2<Δ1. The rate-distortion function for successive refinement by partitioning, denoted R(P, Δ1 , Δ2), is the overall optimal rate of these descriptions obtained via a two-step coding process. We determine the error exponents for this two-step coding process, namely, the negative normalized asymptotic log likelihoods of the event that the distortion in either step exceeds its prespecified acceptable value, and of the conditional event that the distortion in the second step exceeds the prespecified value given the rate and distortion of the code for the first step. We show that even when the rate-distortion functions for one- and two-step coding coincide, the error exponent in the former case may exceed those in the latter