Relaxed Bi-quadratic Optimization for Joint Filter-Signal Design in Signal-Dependent STAP
| Autor: | O'Rourke, Sean M., Setlur, Pawan, Rangaswamy, Muralidhar, Swindlehurst, A. Lee |
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| Rok vydání: | 2017 |
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| Druh dokumentu: | Working Paper |
| DOI: | 10.1109/TSP.2017.2775592 |
| Popis: | We investigate an alternative solution method to the joint signal-beamformer optimization problem considered by Setlur and Rangaswamy[1]. First, we directly demonstrate that the problem, which minimizes the received noise, interference, and clutter power under a minimum variance distortionless response (MVDR) constraint, is generally non-convex and provide concrete insight into the nature of the nonconvexity. Second, we employ the theory of biquadratic optimization and semidefinite relaxations to produce a relaxed version of the problem, which we show to be convex. The optimality conditions of this relaxed problem are examined and a variety of potential solutions are found, both analytically and numerically. Comment: 80 pages, 38 figures. Corrected edition of US Air Force Research Laboratory Report, Dec. 2016, to be submitted to IEEE Transactions on Signal Processing. PAO Release number: 88ABW-2016-5280, Approved for public release; distribution is unlimited |
| Databáze: | arXiv |
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