Relaxed Bi-quadratic Optimization for Joint Filter-Signal Design in Signal-Dependent STAP
arXiv:1703.08115 · doi:10.1109/TSP.2017.2775592
Abstract
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.
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