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-resolution 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 g...

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Bibliographic Details
Published in:IEEE transactions on information theory Vol. 52; no. 5; pp. 1956 - 1973
Main Authors: Ostergaard, J., Jensen, J., Heusdens, R.
Format: Journal Article
Language:English
Published: New York, NY IEEE 01.05.2006
Institute of Electrical and Electronics Engineers
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:
Applied sciences
Centralized control
Coding, codes
Communication channels
Counters
Data compression
Descriptions
Distortion
Entropy
Exact sciences and technology
High-rate quantization
Information systems
Information, signal and communications theory
lattice quantization
Lattices
Materials science and technology
Mathematical analysis
Mathematical models
multiple-description coding (MDC)
Numerical simulation
Packet switched networks
Probability
Sampling, quantization
Signal and communications theory
Simulation
Source coding
Switching and signalling
Systems, networks and services of telecommunications
Telecommunications
Telecommunications and information theory
Transmission and modulation (techniques and equipments)
Vector quantization
Performance evaluation
Packet switching
State of the art
High resolution
Vector quantization
Redundancy
Data compression
Two channel system
Loss rate
Data transmission
n channel
Entropy
multiple-description coding (MDC)
Analytical method
Numerical simulation
Quantifier
Transmission loss
Multiple channel
lattice quantization
High-rate quantization
ISSN:0018-9448, 1557-9654
Online Access:Get full text
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Summary:In this paper, we derive analytical expressions for the central and side quantizers which, under high-resolution 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.
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ISSN:0018-9448
1557-9654
DOI:10.1109/TIT.2006.872847