On the Precoder Design of a Wireless Energy Harvesting Node in Linear Vector Gaussian Channels with Arbitrary Input Distribution

A Wireless Energy Harvesting Node (WEHN) operating in linear vector Gaussian channels with arbitrarily distributed input symbols is considered in this paper. The precoding strategy that maximizes the mutual information along N independent channel accesses is studied under non-causal knowledge of the...

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Veröffentlicht in:IEEE transactions on communications Jg. 61; H. 5; S. 1868 - 1879
Hauptverfasser: Gregori, M., Payaro, M.
Format: Journal Article
Sprache:Englisch
Veröffentlicht: New York, NY IEEE 01.05.2013
Institute of Electrical and Electronics Engineers
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Schlagworte:
Algorithms
Applied sciences
arbitrary input distribution
Batteries
Channels
Coding, codes
Energy distribution
Energy harvesting
Exact sciences and technology
Harvesting
Information, signal and communications theory
Jacobian matrices
linear vector Gaussian channels
Mathematical analysis
Mean square errors
Mercury
MMSE
Mutual information
Optimization
power allocation
precoder optimization
Resource management
Signal and communications theory
Studies
Telecommunications and information theory
Transmitters
Vectors
Vectors (mathematics)
Singularity
precoder optimization
Wireless telecommunication
n channel
arbitrary input distribution
Linear channel
Energy harvesting
Power allocation
Mean square error
Optimal allocation
Coding
MMSE
Off line
Pretreatment
Optimal algorithm
Eigenvector
Gaussian channel
Coding circuit
Computational complexity
linear vector Gaussian channels
Graphics
Singular vector
On line processing
Aqueous solution
Causality
Mutual information
ISSN:0090-6778, 1558-0857
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Zusammenfassung:A Wireless Energy Harvesting Node (WEHN) operating in linear vector Gaussian channels with arbitrarily distributed input symbols is considered in this paper. The precoding strategy that maximizes the mutual information along N independent channel accesses is studied under non-causal knowledge of the channel state and harvested energy (commonly known as offline approach). It is shown that, at each channel use, the left singular vectors of the precoder are equal to the eigenvectors of the Gram channel matrix. Additionally, an expression that relates the optimal singular values of the precoder with the energy harvesting profile through the Minimum Mean-Square Error (MMSE) matrix is obtained. Then, the specific situation in which the right singular vectors of the precoder are set to the identity matrix is considered. In this scenario, the optimal offline power allocation, named Mercury Water-Flowing, is derived and an intuitive graphical representation is presented. Two optimal offline algorithms to compute the Mercury Water-Flowing solution are proposed and an exhaustive study of their computational complexity is performed. Moreover, an online algorithm is designed, which only uses causal knowledge of the harvested energy and channel state. Finally, the achieved mutual information is evaluated through simulation.
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ISSN:0090-6778
1558-0857
DOI:10.1109/TCOMM.2013.032013.120577