Title
A Perturbation Proof Of The Vector Gaussian One-Help-One Problem
Abstract
In this paper, we give a perturbation proof to vector Gaussian one-help-one problem for characterizing the rate distortion region, in which the challenge is that the conventional entropy power inequality used in scalar Gaussian case is not necessarily tight in vector case. Different from enhancement technique, we take the Fisher information matrix to present the entropy, and then derive a new extremal inequality based on the method of integration along a path of a continuous Gaussian perturbation. This new extremal inequality enables us to give a perturbation proof of Rahman and Wagner's theorem.
Year
DOI
Venue
2013
10.1109/ISIT.2013.6620451
2013 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY PROCEEDINGS (ISIT)
Keywords
DocType
Volume
entropy,fisher information matrix,optimization,vectors
Conference
null
Issue
Citations 
PageRank 
null
0
0.34
References 
Authors
0
2
Name
Order
Citations
PageRank
Yinfei Xu112.74
Qiao Wang213.05