Optimal Quantizer Performance and the Wasserstein Distortion

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Data Compression Conference (DCC'05)

Snowbird, Utah

March 29-March 31

ISBN: 0-7695-2309-9

	ASCII Text	x
	Shahriyar Matloub, Deirdre B. O'Brien, Robert M. Gray, "Optimal Quantizer Performance and the Wasserstein Distortion," Data Compression Conference, pp. 243-250, Data Compression Conference (DCC'05), 2005.

	BibTex	x
	@article{ 10.1109/DCC.2005.67, author = {Shahriyar Matloub and Deirdre B. O'Brien and Robert M. Gray}, title = {Optimal Quantizer Performance and the Wasserstein Distortion}, journal ={Data Compression Conference}, volume = {0}, year = {2005}, issn = {1068-0314}, pages = {243-250}, doi = {http://doi.ieeecomputersociety.org/10.1109/DCC.2005.67}, publisher = {IEEE Computer Society}, address = {Los Alamitos, CA, USA}, }

	RefWorks Procite/RefMan/Endnote	x
	TY - CONF JO - Data Compression Conference TI - Optimal Quantizer Performance and the Wasserstein Distortion SN - 1068-0314 SP243 EP250 A1 - Shahriyar Matloub, A1 - Deirdre B. O'Brien, A1 - Robert M. Gray, PY - 2005 KW - null VL - 0 JA - Data Compression Conference ER -

Shahriyar Matloub, Stanford University, CA

Deirdre B. O'Brien, Stanford University, CA

Robert M. Gray, Stanford University, CA

DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/DCC.2005.67

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 and also provides an algorithm to achieve the optimal performance as the block size increases.

Citation:

Shahriyar Matloub, Deirdre B. O'Brien, Robert M. Gray, "Optimal Quantizer Performance and the Wasserstein Distortion," dcc, pp.243-250, Data Compression Conference (DCC'05), 2005

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