On Global Optimality of Gradient Descent Algorithms for Fixed-Rate Scalar Multiple Description Quantizer Design

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http://doi.ieeecomputersociety.org/10.1109/DCC.2005.60

Data Compression Conference (DCC'05)

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	Sorina Dumitrescu, Xiaolin Wu, "On Global Optimality of Gradient Descent Algorithms for Fixed-Rate Scalar Multiple Description Quantizer Design," Data Compression Conference, pp. 388-397, Data Compression Conference (DCC'05), 2005.

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	@article{ 10.1109/DCC.2005.60, author = {Sorina Dumitrescu and Xiaolin Wu}, title = {On Global Optimality of Gradient Descent Algorithms for Fixed-Rate Scalar Multiple Description Quantizer Design}, journal ={Data Compression Conference}, volume = {0}, year = {2005}, issn = {1068-0314}, pages = {388-397}, doi = {http://doi.ieeecomputersociety.org/10.1109/DCC.2005.60}, publisher = {IEEE Computer Society}, address = {Los Alamitos, CA, USA}, }

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	TY - CONF JO - Data Compression Conference TI - On Global Optimality of Gradient Descent Algorithms for Fixed-Rate Scalar Multiple Description Quantizer Design SN - 1068-0314 SP388 EP397 A1 - Sorina Dumitrescu, A1 - Xiaolin Wu, PY - 2005 KW - null VL - 0 JA - Data Compression Conference ER -

Sorina Dumitrescu, McMaster University, Hamilton, ON, Canada

Xiaolin Wu, McMaster University, Hamilton, ON, Canada

We prove that Trushkin's sufficient conditions for the global optimality of a locally optimal fixed-rate scalar quantizer also ensure the global optimality of a locally optimal fixed-rate multiple description scalar quantizer of convex codecells, with respect to a fixed index assignment. This result also holds for the fixed-rate multiresolution scalar quantizer of convex codecells. As a consequence the well-known log-concave pdf condition can be extended to the multiple description and multiresolution case.

Citation:

Sorina Dumitrescu, Xiaolin Wu, "On Global Optimality of Gradient Descent Algorithms for Fixed-Rate Scalar Multiple Description Quantizer Design," dcc, pp.388-397, Data Compression Conference (DCC'05), 2005

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