Relaxed Biquadratic Optimization for Joint Filter-Signal Design in Signal-Dependent STAP
- Author(s): O'Rourke, Sean M
- Setlur, Pawan
- Rangaswamy, Muralidhar
- Swindlehurst, A Lee
- et al.
Published Web Locationhttps://doi.org/10.1109/tsp.2017.2775592
We investigate an alternative solution method to the joint signal-beamformer optimization problem considered by Setlur and Rangaswamy. 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.
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