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Electrical Engineering and Systems Science > Signal Processing

arXiv:2003.02081 (eess)
[Submitted on 1 Mar 2020]

Title:Achieving Global Optimality for Joint Source and Relay Beamforming Design in Two-Hop Relay Channels

Authors:Hongying Tang, Wen Chen, Jun Li, Haibin Wan
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Abstract:This paper deals with joint source and relay beamforming (BF) design for an amplify-and-forward (AF) multi-antenna multirelay network. Considering that the channel state information (CSI) from relays to destination is imperfect, we aim to maximize the worst case received signal-to-noise ratio (SNR). The associated optimization problem is then solved in two steps. In the first step, by fixing the source BF vector, a semi-closed form solution of the relay BF matrices is obtained, up to a power allocation factor. In the second step, the global optimal source BF vector is obtained based on the Polyblock outer Approximation (PA) algorithm. We also propose two low-complexity methods for obtaining the source BF vector, which are different in their complexities and performances. The optimal joint source-relay BF solution obtained by the proposed algorithms serves as the benchmark for evaluating the existing schemes and the proposed low-complexity methods. Simulation results show that the proposed robust design can significantly reduce the sensitivity of the channel uncertainty to the system performance.
Subjects: Signal Processing (eess.SP); Information Theory (cs.IT)
Cite as: arXiv:2003.02081 [eess.SP]
  (or arXiv:2003.02081v1 [eess.SP] for this version)
  https://doi.org/10.48550/arXiv.2003.02081

Submission history

From: Wen Chen [view email]
[v1] Sun, 1 Mar 2020 16:36:50 UTC (622 KB)
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