DESIGN OF MISMATCHED FILTER WITH GOOD DOPPLER TOLERANCE VIA MAJORIZATION MINIMIZATION

The issue of Doppler sensitivity in phase-coded signals is a significant factor that leads to performance degradation in radar detection. To mitigate the sidelobes caused by Doppler shifts, we present an algorithm that converts the optimization problem into a quadratic constrained quadratic programming (QCQP) problem via Majorization Minimization (MM), allowing for solution by analysing the Karush-Kuhn-Tucker (KKT) conditions. The key steps of the algorithm are implemented through Fast Fourier transform (FFT), ensuring efficient computational performance. Numerical results demonstrate that our proposed algorithm outperforms the software-based algorithm in terms of both sidelobe suppression and computational efficiency.