A new sufficient condition for sum-rate tightness of quadratic Gaussian MT source coding Conference Paper uri icon

abstract

  • This work considers the quadratic Gaussian multiterminal source coding problem and provides a new sufficient condition for the Berger-Tung sum-rate bound to be tight. The converse proof utilizes a generalized CEO problem where the observation noises are correlated Gaussian with a block-diagonal covariance matrix. First, the given multiterminal source coding problem is related to a set of two-terminal problems with matrix distortion constraints, for which a new lower bound on the sum-rate is given. Then, 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.

author list (cited authors)

  • Yang, Y., Zhang, Y., & Xiong, Z.

citation count

  • 4

complete list of authors

  • Yang, Yang||Zhang, Yifu||Xiong, Zixiang

publication date

  • January 2010

publisher