n-channel entropy-constrained multiple-description lattice vector quantization
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Publication:3547446
DOI10.1109/TIT.2006.872847zbMATH Open1318.94037arXivcs/0602035OpenAlexW2030339236MaRDI QIDQ3547446
Author name not available (Why is that?)
Publication date: 21 December 2008
Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)
Abstract: In this paper we derive analytical expressions for the central and side quantizers which, under high-resolutions assumptions, minimize the expected distortion of a symmetric multiple-description lattice vector quantization (MD-LVQ) system subject to entropy constraints on the side descriptions for given packet-loss probabilities. We consider a special case of the general n-channel symmetric multiple-description problem where only a single parameter controls the redundancy tradeoffs between the central and the side distortions. Previous work on two-channel MD-LVQ showed that the distortions of the side quantizers can be expressed through the normalized second moment of a sphere. We show here that this is also the case for three-channel MD-LVQ. Furthermore, we conjecture that this is true for the general n-channel MD-LVQ. For given source, target rate and packet-loss probabilities we find the optimal number of descriptions and construct the MD-LVQ system that minimizes the expected distortion. We verify theoretical expressions by numerical simulations and show in a practical setup that significant performance improvements can be achieved over state-of-the-art two-channel MD-LVQ by using three-channel MD-LVQ.
Full work available at URL: https://arxiv.org/abs/cs/0602035
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