Wavelet Denoising of Radar Signals, Reverse Engineering for Aircraft Design, and Optimization Method.

During the past year, we worked on two engineering application problems data smoothingdenoising by wavelets and reverse engineering for aircraft design, as well as other optimization problems such as robust regressions, Huber M-estimators, merit functions for constrained minimization problems, stability analysis of feasible systems, and constrained best approximations in Euclidean spaces. While the engineering applications are obviously beneficial to the advancement of science and technology for Air Force, the basic research is also fundamental for potential applications relevant to Air Force. In this final report, we will give an overview of what we have accomplished during the last one year when our research was supported by Air Force Office of Scientific Research. The report has five parts 1 automatic threshold selection for wavelet denoising 2 reverse engineering for aircraft design 3 robust regression and Huber M-estimator 4 global error bounds for quadratic inequalities 5 merit functions for complementarity problems.