Performance models for sidelobe constrained signal design with eigen-basis formulation

Understanding the consequences of applying constraints in arbitrary waveform design can benefit the decision making process of an adaptive system by providing insight into selection of the transmit signal. In this paper, we discuss the role of the integrated sidelobe (ISL) parameter for adaptive radar signal design as it pertains to signal-to-interference-ratio (SINR) performance. We do so by undertaking a design methodology that limits the basis dimension of the waveform while placing a finite energy constraint on the optimal ISL solution. We further extend the analysis by developing performance models for the integrated sidelobe metrics corresponding SINR degradation, from optimal. Included are Monte Carlo simulation trials designed to measure the impact of ISL on SINR.