Title
Semidefinite Representation Of Sequential Rate-Distortion Function For Stationary Gauss-Markov Processes
Abstract
We consider an information-theoretic performance limitation of zero-delay source coding schemes for multidimensional stationary Gauss-Markov sources. In particular, the sequential rate-distortion (SRD) problem is formulated in which the average rate per stage is minimized subject to a constraint on the average mean-square distortion per stage. We prove that there exists an optimal test channel that is linear and time invariant, which can be efficiently constructed by semidefinite programming (SDP). This result indicates that the exponentiated sequential rate-distortion function admits a semidefinite representation.
Year
Venue
Field
2015
2015 IEEE CONFERENCE ON CONTROL AND APPLICATIONS (CCA 2015)
LTI system theory,Applied mathematics,Discrete mathematics,Gauss,Markov process,Control theory,Source code,Communication channel,Semidefinite embedding,Distortion,Mathematics,Semidefinite programming
DocType
ISSN
Citations 
Conference
1085-1992
2
PageRank 
References 
Authors
0.37
7
1
Name
Order
Citations
PageRank
Takashi Tanaka13412.22