Closed Form of Optimum Cooperative Distributed Relay Amplifying Matrix

This paper presents a closed form of an optimal cooperative amplify-and-forward (AF) relay amplifying matrix for a distributed relay network of M-source-M-destination pairs and N relays, called a cooperative distributed AF relay network. The objective of this paper is to derive closed forms of minim...

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Bibliographic Details
Published in:IEEE transactions on wireless communications 2014-05, Vol.13 (5), p.2741-2755
Main Authors: Kanghee Lee, Jie Yang, Kwon, Hyuck M., Hyuncheol Park, Lee, Yong H.
Format: Article
Language:English
Subjects:
Access methods and protocols, osi model
Algorithms
Amplification
Amplify-and-forward relay
Applied sciences
cost function (CF)
Exact sciences and technology
Exact solutions
Frame relay
Mathematical analysis
Matrices
Mean square errors
MIMO
minimum mean square error (MMSE)
Optimization
Radiocommunications
receive power constraint (RPC)
Receivers
Relay
Relay networks
Relays
Signal to noise ratio
Telecommunications
Telecommunications and information theory
Teleprocessing networks. Isdn
transmit power constraint (TPC)
Transmitters. Receivers
Vectors
Wireless communication
zero-forcing (ZF)
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Summary:This paper presents a closed form of an optimal cooperative amplify-and-forward (AF) relay amplifying matrix for a distributed relay network of M-source-M-destination pairs and N relays, called a cooperative distributed AF relay network. The objective of this paper is to derive closed forms of minimum mean square error (MMSE)-based and zero-forcing (ZF)-based optimal AF relay amplifying matrices for the cooperative distributed AF relay network under the transmitter power constraint (TPC) at the relays, the receiver power constraint (RPC) at the destinations, and the no-power constraint (NPC) condition. Additionally, by substituting the derived optimum AF relay amplifying matrices into the original cost functions (CFs), the behavior of the optimum CFs and the total optimum signal component power (SCP) at the destinations are compared to each other for different cases. Finally, using the MMSE criterion, a novel relay selection scheme is proposed for the cooperative distributed AF relay network.
ISSN:1536-1276
1558-2248
DOI:10.1109/TWC.2013.033114.131350