n-Channel Entropy-Constrained Multiple-Description Lattice Vector Quantization
<|reference_start|>n-Channel Entropy-Constrained Multiple-Description Lattice Vector Quantization: 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.<|reference_end|>
@article{ostergaard2006n-channel,
    title={n-Channel Entropy-Constrained Multiple-Description Lattice Vector
  Quantization},
    author={Jan Ostergaard, Jesper Jensen, and Richard Heusdens},
    journal={arXiv preprint arXiv:cs/0602035},
    year={2006},
    doi={10.1109/TIT.2006.872847},
    archivePrefix={arXiv},
    eprint={cs/0602035},
    primaryClass={cs.IT math.IT}
}