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On uplink-downlink sum-MSE duality of multi-hop MIMO relay channel

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Open access
Authors
Cirik, A.
Khandaker, Muhammad
Rong, Yue
Hua, Y.
Date
2014
Type
Conference Paper

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Cirik, A. and Khandaker, M. and Rong, Y. and Hua, Y. 2014. On uplink-downlink sum-MSE duality of multi-hop MIMO relay channel, in A. Sayeed (ed), 15th International Workshop on Signal Processing Advances in Wireless Communications, Jun 22-25 2014. Toronto, Canada: IEEE.
Source Title
The Proceedings of the 15th IEEE Workshop on Signal Processing Advances in Wireless Communications
Source Conference
The 15th IEEE Workshop on Signal Processing Advances in Wireless Communications
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School
Department of Electrical and Computer Engineering
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Abstract

In this paper, the uplink and downlink sum mean-squared error (MSE) duality for multi-hop amplify-and-forward (AF) multiple-input multiple-output relay channels is established, which is a generalization of several sum-MSE duality results. Unlike the previous results that prove the duality by calculatingthe MSEs for each stream directly, we introduce an interesting perspective to the relation of the uplink-downlink duality based on the Karush-Kuhn-Tucker (KKT) conditions. We address the transceiver design based on the minimization of sum-MSE subject to the power constraints at the relay and user nodes for both uplink and downlink channels. Based on the KKT conditions of the transceiver design optimization problems, the sum-MSE uplink-downlink duality is established.