Title
Simultaneous SDR optimality via a joint matrix decomposition
Abstract
This work considers the joint source-channel problem of transmitting a Gaussian source over a two-user multiple-input multiple-output (MIMO) broadcast channel. We show the existence of non-trivial channels, where the optimal distortion pair (which for high signal-to-noise ratios equals the point-to-point distortions of the individual users) may be achieved. A condition for existence of a joint triangularization of the MIMO channels which shapes the ratio of the diagonals to a desired form is derived. Whenever possible, all diagonal elements but one are made equal. We then employ a hybrid digital-analog scheme to the source, where the digital part is sent over the equal subchannels and the analog refinement is sent over the remaining one.
Year
DOI
Venue
2011
10.1109/ICASSP.2011.5946299
Acoustics, Speech and Signal Processing
Keywords
Field
DocType
Gaussian channels,MIMO communication,broadcast channels,distortion,matrix decomposition,wireless channels,Gaussian source transmission,MIMO broadcast channel,analog refinement,hybrid digital-analog scheme,joint matrix decomposition,joint source-channel problem,nontrivial channels,optimal distortion pair,signal-to-distortion ratio,simultaneous SDR optimality,two-user multiple-input multiple-output broadcast channel
Diagonal,Topology,Mathematical optimization,Control theory,Computer science,Matrix decomposition,Signal-to-noise ratio,MIMO,Gaussian,Decoding methods,Covariance matrix,Distortion
Conference
ISSN
ISBN
Citations 
1520-6149 E-ISBN : 978-1-4577-0537-3
978-1-4577-0537-3
1
PageRank 
References 
Authors
0.37
2
3
Name
Order
Citations
PageRank
Yuval Kochman122626.22
Anatoly Khina2799.58
Uri Erez31209112.39