Joint design of radar transmit waveform and mismatched filter with low sidelobes

The paper focuses on joint design of transmit waveform and mismatched filter to achieve low sidelobe level for improving the resolution of pulse compression (PC). An Lp-norm, p = 1, of the power ratio of sidelobe to mainlobe levels is used in the corresponding PC optimization problem as a metric. The use of Lp-norm minimization contains as special cases the integrated sidelobe level and peak sidelobe level (PSL) minimization problems which corresponds to specific selections of different p values. The main contribution of this work is the development of a new iterative algorithm to solve the aforementioned optimization problem. It is based on using Dinkelbach's scheme together with majorization minimization method. The computational complexity of the proposed algorithm is also analyzed. Numerical examples demonstrate that waveforms and mismatched filters designed by using the proposed method produce lower PSL than the existing counterparts.