Wireless Energy Transfer Beamforming With Löwner-John Ellipsoidal Approximation

The physical layer beamforming design of downlink wireless energy transfer (WET) is investigated. To minimize the power of WET with respect to the terminals' quality of service requirements, the physical beamforming design is modeled as a non-convex quadratically constrained quadratic program (...

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Bibliographic Details
Published in:IEEE communications letters 2016-08, Vol.20 (8), p.1667-1670
Main Authors: Bo Li, Zhimin Zeng, Beaulieu, Norman C., Tiankui Zhang
Format: Article
Language:English
Subjects:
Antennas
Approximation
Array signal processing
Beamforming
Computational efficiency
Ellipsoids
Energy exchange
Energy transfer
Löwner-John ellipsoid
Mathematical analysis
Mathematical models
multicast beamforming
QCQP
Quality of service
Resource management
semidefinite relaxation
Terminals
Wireless communication
wireless energy transfer
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Summary:The physical layer beamforming design of downlink wireless energy transfer (WET) is investigated. To minimize the power of WET with respect to the terminals' quality of service requirements, the physical beamforming design is modeled as a non-convex quadratically constrained quadratic program (QCQP) problem. A two-step method to solve the QCQP is proposed. First, the QCQP is tightened into an ellipsoidal approximation problem with the aid of a Löwner-John ellipsoid, by solving a semidefinite program (SDP). Second, due to the approximation problem's ellipsoidal nature, it is solved as another SDP. The proposed method is compared using numerical results to the conventional semidefinite relaxation (SDR) approach. It is demonstrated that for equivalent computing time cost, the proposed method usefully improves the energy efficiency of the downlink WET compared with SDR.
ISSN:1089-7798
1558-2558
DOI:10.1109/LCOMM.2016.2572682