DocumentCode
2707253
Title
Optimal quantizer performance and the Wasserstein distortion
Author
Matloub, Shahriyar ; O´Brien, Deirdre B. ; Gray, Robert M.
Author_Institution
Dept. of Electr. Eng., Stanford Univ., CA, USA
fYear
2005
fDate
29-31 March 2005
Firstpage
243
Lastpage
250
Abstract
The Wasserstein distortion has proved useful in a variety of mathematical, signal processing and coding problems as a measure of how different two distributions are. In this paper we provide an expression for the performance of the optimal entropy constrained quantizer in terms of the Wasserstein distortion. The proof presented is significantly different from that previously shown by Linder (2002) and also provides an algorithm to achieve the optimal performance as the block size increases.
Keywords
data compression; entropy codes; optimisation; rate distortion theory; statistical distributions; Wasserstein distortion; block size; optimal entropy constrained quantizer; optimal quantizer performance; probability distributions; Data compression; Distortion measurement; Entropy; Euclidean distance; Probability distribution; Quantization; Random variables; Signal processing; Signal processing algorithms; Zinc;
fLanguage
English
Publisher
ieee
Conference_Titel
Data Compression Conference, 2005. Proceedings. DCC 2005
ISSN
1068-0314
Print_ISBN
0-7695-2309-9
Type
conf
DOI
10.1109/DCC.2005.67
Filename
1402185
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