Progressive Linear Precoder Optimization for ARQ Packet Retransmissions in Nonregenerative MIMO Relay Systems

This paper investigates the linear precoder optimization for packet retransmissions in nonregenerative multi-input multi-output (MIMO) relay systems. To fully utilize the time diversity provided by automatic repeat request (ARQ), progressive linear precoders are designed with the objective of maximi...

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Vydáno v:IEEE transactions on signal processing Ročník 61; číslo 1; s. 68 - 81
Hlavní autoři: Zhang, Zhengyu, Qiu, Ling, Xu, Jie
Médium: Journal Article
Jazyk:angličtina
Vydáno: New York, NY IEEE 01.01.2013
Institute of Electrical and Electronics Engineers
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Témata:
Algorithms
Allocations
Applied sciences
ARQ
Asymptotic properties
Automatic repeat request
Channels
Detection, estimation, filtering, equalization, prediction
Exact sciences and technology
Information, signal and communications theory
Joints
Mathematical models
MIMO
Optimization
Packet transmission
precoder
Relay
Relay systems
Relays
Resource management
Signal and communications theory
Signal to noise ratio
Signal, noise
Studies
Telecommunications and information theory
Matrix diagonalization
Performance evaluation
MIMO system
ARQ
Parameter estimation
Non convex programming
Relay
Coding circuit
Asymptotic behavior
precoder
Iterative method
Algorithm
Power allocation
Convex programming
Optimization
Channel estimation
Optimal solution
Signal processing
Numerical simulation
MIMO
Automatic repeat request
Mutual information
Signal to noise ratio
ISSN:1053-587X, 1941-0476
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Shrnutí:This paper investigates the linear precoder optimization for packet retransmissions in nonregenerative multi-input multi-output (MIMO) relay systems. To fully utilize the time diversity provided by automatic repeat request (ARQ), progressive linear precoders are designed with the objective of maximizing the mutual information delivered by multiple transmissions of the same packet. Firstly, the relay-only precoder is considered when the channel state information (CSI) is only available at the relay and the destination. We derive the form of the optimal ARQ precoder by restating the optimization problem as a matrix diagonalization problem, then the power allocation is formulated as a convex optimization problem where the Karush-Kuhn-Tucker conditions are used to obtain the optimal solution. Furthermore, we analyze the asymptotic performance when the two hops' signal-to-noise ratio (SNR) goes to infinity or zero respectively. Secondly, the joint source and relay precoder is studied assuming the CSI known at all nodes. The ARQ precoder is derived by matrix diagonalization and channel pairing between previous subchannels and current subchannels. Then the power allocation at the source and relay is formulated as a nonconvex multi-variable optimization problem where we employ an iterative algorithm to obtain the suboptimal solution. Moreover, the asymptotic performance is also analyzed with the two hops' SNR being extremely large or small, based on which the simplified method of searching channel pairing matrix is proposed. Numerical results show that the proposed precoders can improve the system performance significantly, especially in the joint source and relay precoder scenario.
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ISSN:1053-587X
1941-0476
DOI:10.1109/TSP.2012.2222385