Optimal Phase Control for Equal-Gain Transmission in MIMO Systems With Scalar Quantization: Complexity and Algorithms
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The complexity of the optimal phase control problem in wireless MIMO systems with scalar feedback quantization and equal-gain transmission is studied. The problem is shown to be NP-hard when the number of receive antennas grows linearly with the number of transmit antennas. For the case where the number of receive antennas is constant, the problem can be solved in polynomial time. An optimal algorithm is explicitly constructed. For practical purposes, a low-complexity algorithm based on local search is presented. Simulation results show that its performance is nearly optimal.
Date issued
2010-06Department
Massachusetts Institute of Technology. Computer Science and Artificial Intelligence LaboratoryJournal
IEEE Transactions on Information Theory
Publisher
Institute of Electrical and Electronics Engineers (IEEE)
Citation
Leung, Kin-Kwong et al. “Optimal Phase Control for Equal-Gain Transmission in MIMO Systems With Scalar Quantization: Complexity and Algorithms.” IEEE Transactions on Information Theory 56.7 (2010): 3343-3355. © Copyright 2010 IEEE
Version: Final published version
ISSN
0018-9448
1557-9654