Low-Complexity Distributed Beamforming for Relay Networks With Real-Valued Implementation

The distributed beamforming problem for amplify-and-forward relay networks is studied. Maximizing output SNR (signal-to-noise ratio) for distributed beamforming can be considered as a generalized eigenvector problem (GEP) and the principal eigenvector and its eigenvalue can be derived with a standar...

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Bibliographic Details
Published inIEEE transactions on signal processing Vol. 61; no. 20; pp. 5039 - 5048
Main Authors Zhang, Lei, Liu, Wei, Li, Jian
Format Journal Article
LanguageEnglish
Published New York, NY IEEE 01.10.2013
Institute of Electrical and Electronics Engineers
Subjects
Algorithm design and analysis
Applied sciences
Array signal processing
Detection, estimation, filtering, equalization, prediction
Distributed beamforming
Exact sciences and technology
generalized eigenvector problem
Information, signal and communications theory
Peer-to-peer computing
relay networks
Relays
robust algorithm
Robustness
Signal and communications theory
Signal to noise ratio
Signal, noise
Telecommunications and information theory
Estimation error
Parameter estimation
Relay
Relay network
Eigenvector
Transmission protocol
Eigenvalue
Distributed beamforming
relay networks
Output signal
Closed form equation
Algorithm
Computational complexity
Beam forming
Implementation
robust algorithm
generalized eigenvector problem
Channel estimation
Signal processing
Routing protocols
Signal to noise ratio
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Summary:The distributed beamforming problem for amplify-and-forward relay networks is studied. Maximizing output SNR (signal-to-noise ratio) for distributed beamforming can be considered as a generalized eigenvector problem (GEP) and the principal eigenvector and its eigenvalue can be derived with a standard closed-form solution. In this paper, four classes of beamforming algorithms are derived based on different design criteria and constraints, including maximizing output SNR subject to a constraint on the total transmitted signal power, minimizing the total transmitted signal power subject to certain level of output SNR, minimizing the relay node number subject to constraints on the total signal power and output SNR, and a robust algorithm to deal with channel estimation errors. All of the algorithms have a low computational complexity due to the proposed real-valued implementation.
ISSN:1053-587X
1941-0476
DOI:10.1109/TSP.2013.2274957