New Mean-Squared-Error Filter Design Method for Multiple-Input Multiple-Output Amplify-and-Forward Relay Systems with a Non-negligible Direct Link

In this paper, we propose a new mean-squared-error (MSE) minimizing transceiver design method for multiple-input multiple-output amplify-and-forward relay systems with a non-negligible source-to-destination direct link. In earlier works, the direct link has not been fully exploited nor have optimal...

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Bibliographic Details
Published in:Wireless personal communications Vol. 125; no. 4; pp. 3085 - 3099
Main Author: Shin, Joonwoo
Format: Journal Article
Language:English
Published: New York Springer US 01.08.2022
Springer Nature B.V
Subjects:
Algorithms
Communications Engineering
Computer Communication Networks
Design techniques
Engineering
Filter design (mathematics)
Iterative methods
Kuhn-Tucker method
Networks
Optimization
Relay systems
Signal,Image and Speech Processing
Amplify-and-forward relay
Multiple antenna
Mean-squared-error transceiver
ISSN:0929-6212, 1572-834X
Online Access:Get full text
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Summary:In this paper, we propose a new mean-squared-error (MSE) minimizing transceiver design method for multiple-input multiple-output amplify-and-forward relay systems with a non-negligible source-to-destination direct link. In earlier works, the direct link has not been fully exploited nor have optimal solutions been presented in analytical forms. Motivated by these weaknesses, we investigated a new source-relay-destination filter design method. To address the difficulties resulting from multiple power constraints and the power allocation between two precoders at the source node, we formulated the MSE minimization problem by introducing a regularizing factor. From the Karush–Kuhn–Tucker conditions of the individual transceiver optimization problem, semi-closed form filter solutions for source, relay, and destination were derived. Then, resorting to the proposed iterative joint optimizing algorithm, a local optimal point was accessible. Through numerical simulations, the efficacy of the proposed method was illustrated, and it was observed that only a few iterations the MSE performances of the proposed method surpass those of conventional schemes.
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ISSN:0929-6212
1572-834X
DOI:10.1007/s11277-022-09699-7