Designing radar transmit sequences satisfying simultaneous temporal integrated sidelobe level and spectral stopband constraints

Abstract

Due to their nice properties, unimodular sequences possessing low autocorrelation sidelobes have already been employed as transmit waveforms in numerous radar systems. It could also be desired to have a transmit waveform which avoids certain frequency bands allocated for specific communication applications. Hence, adaptation and specific design of the waveform spectrum might also be essential. Accordingly, in this manuscript, we propose two alternative algorithms for designing radar transmit sequences satisfying simultaneous temporal integrated sidelobe level (ISL) and spectral stopband constraints. The proposed algorithms utilize the majorization-minimization (MM) method for directly minimizing ISL by first proposing a majorizing function in place of the objective function of the minimization problem. Then, solution of the minimization problem is obtained in an iterative manner. Accelerated versions of the newly proposed algorithms are also derived to facilitate their fast convergence. We also present numerical examples for comparing performances of our newly proposed methods against some existing methods from the literature in terms of computation time, number of iterations, and level of suppression in stopbands.