@article{Naylor:2016:10.1109/TSP.2016.2603973,
author = {Naylor, PA and Zahedi, A and Jensen, S and Bech, S},
doi = {10.1109/TSP.2016.2603973},
journal = {IEEE Transactions on Signal Processing},
pages = {5943--5958},
title = {Source Coding in Networks with Covariance Distortion Constraints},
url = {http://dx.doi.org/10.1109/TSP.2016.2603973},
volume = {64},
year = {2016}
}

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TY  - JOUR
AB  - We consider a source coding problem with a networkscenario in mind, and formulate it as a remote vectorGaussian Wyner-Ziv problem under covariance matrix distortions.We define a notion of minimum for two positive-definitematrices based on which we derive an explicit formula for therate-distortion function (RDF). We then study the special casesand applications of this result. We show that two well-studiedsource coding problems, i.e. remote vector Gaussian Wyner-Ziv problems with mean-squared error and mutual informationconstraints are in fact special cases of our results. Finally,we apply our results to a joint source coding and denoisingproblem. We consider a network with a centralized topology anda given weighted sum-rate constraint, where the received signalsat the center are to be fused to maximize the output SNR whileenforcing no linear distortion. We show that one can design thedistortion matrices at the nodes in order to maximize the outputSNR at the fusion center. We thereby bridge between denoisingand source coding within this setup.
AU  - Naylor,PA
AU  - Zahedi,A
AU  - Jensen,S
AU  - Bech,S
DO  - 10.1109/TSP.2016.2603973
EP  - 5958
PY  - 2016///
SN  - 1053-587X
SP  - 5943
TI  - Source Coding in Networks with Covariance Distortion Constraints
T2  - IEEE Transactions on Signal Processing
UR  - http://dx.doi.org/10.1109/TSP.2016.2603973
UR  - http://hdl.handle.net/10044/1/38880
VL  - 64
ER  - 

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