Unimodular Waveform Design With Passband Fluctuation Control

Abstract

Waveform designing techniques have always been the focus of attention in active-sensing applications. In some application scenarios, it's desired to design a waveform whose power spectrum is guaranteed to be deeply suppressed in specific frequency bands while keeping minimal fluctuation in other frequency bands. In this paper, a new algorithm which can both minimize the total energy of the stopband and control the fluctuation of the passband is proposed. To achieve this goal, a new optimization problem is devised firstly. Since the problem is not convex and is unsolvable directly, some constraints are transformed into the objective function to simplify the original problem. After that, a novel algorithm is developed with the majorization-minimization (MM) method. The performance of the algorithm is illustrated by simulation results.