Title
A Semi-Closed Form Solution to MIMO Relaying Optimization With Source-Destination Link
Abstract
We study transceiver optimization in the context of amplify-and-forward (AF) multiple-input multiple-output (MIMO) relaying with source-destination link. In particular, by applying the known results of the optimal destination receiver and relay precoder, we mainly focus on the source beamformer optimization which manifests itself as a difficult non-convex problem. To find a globally optimal solution to this problem, we first transform it into an equivalent solvable convex problem via semidefinite relaxation (SDR). Inspired by the SDR based approach, we conduct a further analysis and successfully derive a novel semi-closed form solution to the optimal source beamformer. It is interesting to observe that the solution possesses a generalized eigenmode transmission structure depending on a weighted sum of the Gram matrices of both source-relay and source-destination channels.
Year
DOI
Venue
2016
10.1109/LSP.2015.2510664
IEEE Signal Processing Letters
Keywords
Field
DocType
MIMO communication,amplify and forward communication,array signal processing,concave programming,convex programming,matrix algebra,precoding,radio links,radio transceivers,relaxation theory,relay networks (telecommunication),wireless channels,AF multiple-input multiple-output relaying,SDR,amplify-and-forward MIMO relaying,equivalent solvable convex problem,generalized eigenmode transmission structure,nonconvex problem,optimal destination receiver,relay precoder,semiclosed form solution,semidefinite relaxation,source beamformer optimization,source-destination channel,source-destination link,source-relay channel,transceiver optimization,weighted sum Gram matrix,Amplify-and-forward (AF) multiple-input multiple-output (MIMO) relaying,semi-closed form,source-destination link
Mathematical optimization,Algorithm design,Transceiver,Matrix (mathematics),Signal-to-noise ratio,Closed-form expression,MIMO,Convex optimization,Mathematics,Relay
Journal
Volume
Issue
ISSN
23
2
1070-9908
Citations 
PageRank 
References 
3
0.38
6
Authors
3
Name
Order
Citations
PageRank
Hong Shen1968.53
Wei Xu285463.23
Chunming Zhao367164.30