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Wireless Personal Communications
Published in: Wireless Personal Communications 3/2014

01-08-2014

Outage Probability Based Robust Distributed Beam-Forming in Multi-User Cooperative Networks with Imperfect CSI

Authors: Behrad Mahboobi, Ehsan Soleimani-Nasab, Mehrdad Ardebilipour

Published in: Wireless Personal Communications | Issue 3/2014

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Abstract

In this paper, a new robust problem is proposed for relay beamforming in relay system with stochastic perturbation on channels of multi user and relay network. The robust problem aims to minimize the transmission power of relay nodes while the imperfect channel information (CSI) injects stochastic channel uncertainties to the parameters of optimization problem. In the power minimization framework, the relays amplification weights and phases are optimized assuming the availability of Gaussian channel distribution. The power sum of all relays is minimized while the outage probability of the instantaneous capacity (or SINR) at each link is above the outage capacity (or SINR) for each user. The robust problem is a nonconvex SDP problem with Rank constraint. Due to the nonconvexity of the original problem, three suboptimal problems are proposed. Simulation and numerical results are presented to compare the performance of the three proposed solutions with the existing worst case robust method.
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Appendix
Available only for authorised users
Footnotes
1
The function \(\lambda _{max} \left( {\mathbf{X}} \right) \) is non-differentiable when the multiplicity order of maximum eigenvalue is more than one.
 
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Metadata
Title
Outage Probability Based Robust Distributed Beam-Forming in Multi-User Cooperative Networks with Imperfect CSI
Authors
Behrad Mahboobi
Ehsan Soleimani-Nasab
Mehrdad Ardebilipour
Publication date
01-08-2014
Publisher
Springer US
Published in
Wireless Personal Communications / Issue 3/2014
Print ISSN: 0929-6212
Electronic ISSN: 1572-834X
DOI
https://doi.org/10.1007/s11277-013-1520-2

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