Title
Information rates of pre/post-filtered dithered quantizers
Abstract
We consider encoding of a source with pre-specified second-order statistics, but otherwise arbitrary, by entropy-coded dithered (lattice) quantization (ECDQ) incorporating linear pre- and post-filters. In the design and analysis of this scheme we utilize the equivalent additive-noise channel model of the ECDQ. For Gaussian sources and a square error distortion measure, the coding performance of the pre/post filtered ECDQ approaches the rate-distortion function, as the dimension of the (optimal) lattice quantizer becomes large; actually, in this case the proposed coding scheme simulates the optimal forward channel realization of the rate-distortion function. For non-Gaussian sources and finite-dimensional lattice quantizers, the coding rate exceeds the rate-distortion function by at most the sum of two terms: the “information divergence of the source from Gaussianity” and the “information divergence of the quantization noise from Gaussianity”. Additional bounds on the excess rate of the scheme from the rate-distortion function are also provided
Year
DOI
Venue
1996
10.1109/18.532876
IEEE Transactions on Information Theory
Keywords
DocType
Volume
gaussian source,equivalent additive-noise channel model,coding rate,post-filtered dithered quantizers,information divergence,excess rate,lattice quantizer,rate-distortion function,information rate,proposed coding scheme,finite-dimensional lattice quantizers,coding performance,entropy,gaussian noise,lattices,quantization
Journal
42
Issue
ISSN
Citations 
5
0018-9448
49
PageRank 
References 
Authors
6.05
14
2
Name
Order
Citations
PageRank
Zamir, R.11496141.87
M. Feder2496.05