An Efficient Beamforming Algorithm for Large-Scale Phased Arrays with Lossy Digital Phase Shifters

Shunji TANAKA  Tomohiko MITANI  Yoshio EBIHARA  

IEICE TRANSACTIONS on Communications   Vol.E97-B    No.4    pp.783-790
Publication Date: 2014/04/01
Online ISSN: 1745-1345
DOI: 10.1587/transcom.E97.B.783
Type of Manuscript: PAPER
Category: Antennas and Propagation
phased array,  lossy digital phase shifter,  discrete optimization,  real rotation theorem,  problem decomposition,  

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An efficient beamforming algorithm for large-scale phased arrays with lossy digital phase shifters is presented. This problem, which arises in microwave power transmission from solar power satellites, is to maximize the array gain in a desired direction with the gain loss of the phase shifters taken into account. In this paper the problem is first formulated as a discrete optimization problem, which is then decomposed into element-wise subproblems by the real rotation theorem. Based on this approach, a polynomial-time algorithm to solve the problem numerically is constructed and its effectiveness is verified by numerical simulations.