Vector Gaussian Multiple Description Coding with Individual and Central Distortion Constraints

被引：0

作者：

Chen, Jun ^{[1
]}

Wang, Jia ^{[2
]}

机构：

[1] McMaster Univ, Dept Elect & Comp Engn, Hamilton, ON L8S 4K1, Canada

[2] Shanghai Jiao Tong Univ, Dept Elect Engn, Shanghai 200240, Peoples R China

来源：

2011 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY PROCEEDINGS (ISIT) | 2011年

基金：

加拿大自然科学与工程研究理事会;

关键词：

BROADCAST CHANNEL; CAPACITY REGION; INEQUALITY; RECEIVERS;

D O I：

暂无

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We characterize the rate region of vector Gaussian multiple description coding with individual and central covariance distortion constraints. Specifically, we derive a lower bound and an upper bound for each supporting hyperplane of the rate region and show that these two bounds coincide. The rate region of vector Gaussian multiple description coding with individual and central trace distortion constraints as well as its extension to the stationary Gaussian process setup is also characterized.

引用

页码：1693 / 1697

页数：5

共 20 条

[1] THE RATE-DISTORTION REGION FOR MULTIPLE DESCRIPTIONS WITHOUT EXCESS RATE [J].

AHLSWEDE, R .

IEEE TRANSACTIONS ON INFORMATION THEORY, 1985, 31 (06) :721-726

[2]

[Anonymous], 1941, Duke Math. J.

[3] Rate Region of Gaussian Multiple Description Coding With Individual and Central Distortion Constraints [J].

Chen, Jun .

IEEE TRANSACTIONS ON INFORMATION THEORY, 2009, 55 (09) :3991-4005

[4] Multiple Description Coding for Stationary Gaussian Sources [J].

Chen, Jun ;

Tian, Chao ;

Diggavi, Suhas .

IEEE TRANSACTIONS ON INFORMATION THEORY, 2009, 55 (06) :2868-2881

[5] The worst additive noise under a covariance constraint [J].

Diggavi, SN ;

Cover, TM .

IEEE TRANSACTIONS ON INFORMATION THEORY, 2001, 47 (07) :3072-3081

[6]

ELGAMAL AA, 1982, IEEE T INFORM THEORY, V28, P851, DOI 10.1109/TIT.1982.1056588

[7] BOUNDS FOR DETERMINANT OF SUM OF HERMITIAN MATRICES [J].

FIEDLER, M .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1971, 30 (01) :27-&

[8] A Vector Generalization of Costa's Entropy-Power Inequality With Applications [J].

Liu, Ruoheng ;

Liu, Tie ;

Poor, H. Vincent ;

Shamai , Shlomo .

IEEE TRANSACTIONS ON INFORMATION THEORY, 2010, 56 (04) :1865-1879

[9] An extremal inequality motivated by multiterminal information-theoretic problems [J].

Liu, Tie ;

Viswanath, Pramod .

IEEE TRANSACTIONS ON INFORMATION THEORY, 2007, 53 (05) :1839-1851

[10] ON A SOURCE-CODING PROBLEM WITH 2 CHANNELS AND 3 RECEIVERS [J].

OZAROW, L .

BELL SYSTEM TECHNICAL JOURNAL, 1980, 59 (10) :1909-1921

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