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arXiv · 1009.2077

A new sufficient condition for sum-rate tightness in quadratic Gaussian multiterminal source coding

Yang Yang·Yifu Zhang·Zixiang Xiong
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Abstract

This work considers the quadratic Gaussian multiterminal (MT) source coding problem and provides a new sufficient condition for the Berger-Tung sum-rate bound to be tight. The converse proof utilizes a set of virtual remote sources given which the MT sources are block independent with a maximum block size of two. The given MT source coding problem is then related to a set of two-terminal problems with matrix-distortion constraints, for which a new lower bound on the sum-rate is given. Finally, a convex optimization problem is formulated and a sufficient condition derived for the optimal BT scheme to satisfy the subgradient based Karush-Kuhn-Tucker condition. The set of sum-rate tightness problems defined by our new sufficient condition subsumes all previously known tight cases, and opens new direction for a more general partial solution.

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Yang Yang, Yifu Zhang, Zixiang Xiong. 2010-09-10. A new sufficient condition for sum-rate tightness in quadratic Gaussian multiterminal source coding. https://arxiv.org/abs/1009.2077

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