Title
Linear Analog Coding of Correlated Multivariate Gaussian Sources
Abstract
The effect of prior knowledge when linear analog codes are used as joint source-channel codes for sources modeled as multivariate Gaussian processes is analyzed. We use information theoretic tools to evaluate the achievable performance gain obtained by exploiting prior knowledge. In order to assess the validity of linear codes in practical scenarios, where exact source statistics are not known, we study the effect of having partial knowledge of the statistics. We model the mismatch of the statistics as an additive perturbation matrix between the real covariance matrix and the postulated covariance matrix in the recovery process. In this setting, we obtain closed form expressions for a deterministic perturbation matrix and using random matrix theory tools we characterize the performance loss for i.i.d. random matrices.
Year
DOI
Venue
2013
10.1109/TCOMM.2013.061013.110762
IEEE Transactions on Communications
Keywords
Field
DocType
Gaussian processes,combined source-channel coding,covariance matrices,linear codes,additive perturbation matrix,closed form expression,correlated multivariate Gaussian source,covariance matrix,deterministic perturbation matrix,information theoretic tool,joint source-channel code,linear analog coding,random matrix theory tool,Gaussian processes,Linear codes,mismatch,prior knowledge
Applied mathematics,Generator matrix,Estimation of covariance matrices,Control theory,Theoretical computer science,Multivariate normal distribution,Multivariate random variable,Gaussian process,Covariance matrix,Mathematics,Scatter matrix,Covariance
Journal
Volume
Issue
ISSN
61
8
0090-6778
Citations 
PageRank 
References 
2
0.40
16
Authors
3
Name
Order
Citations
PageRank
Inaki Esnaola18710.43
A. M. Tulino21362101.89
Javier Garcia-Frias371669.63