Asymptotic performance of unrestricted polar quantizers
IEEE Transactions on Information Theory
Vector quantization and signal compression
Vector quantization and signal compression
Information matrices for normal and Laplace mixtures
Information Sciences: an International Journal
Asymptotically optimal block quantization
IEEE Transactions on Information Theory
Companding and random quantization in several dimensions
IEEE Transactions on Information Theory
A note on optimal multidimensional companders (Corresp.)
IEEE Transactions on Information Theory
Multidimensional companding quantization of the Gaussian source
IEEE Transactions on Information Theory
IEEE Transactions on Information Theory
Piecewise uniform vector quantizers
IEEE Transactions on Information Theory - Part 1
Bennett's integral for vector quantizers
IEEE Transactions on Information Theory
Spherical logarithmic quantization
IEEE Transactions on Audio, Speech, and Language Processing
Geometric piecewise uniform lattice vector quantization of the memoryless Gaussian source
Information Sciences: an International Journal
Adaptive quantization using piecewise companding and scaling for Gaussian mixture
Journal of Visual Communication and Image Representation
The general design of asymptotic unrestricted polar quantizers with square cells
Digital Signal Processing
Information Sciences: an International Journal
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In this paper, it is shown that optimal Z_2 lattice vector quantization can be implemented using radial companding technique. We derive the optimal vector compressor function for radial compander of memoryless Gaussian source. This result is obtained by taking into consideration the source geometry and by establishing the relation between the volumes and the point densities at the compressor input and compressor output. We also derive the linearized model - the piecewise linear compander. Its performance closely approaches that of optimal vector quantization. For example, for R=8bits/dimension and L=16 regions, the difference between corresponding distortions is about 0.037dB, while the asymptotic performances are identical.