Waveform optimization for random-phase radar signals with PAPR constraints

Transmitting waveforms that are designed in real time to best deal with the interference environment has been shown to provide significant performance benefits. Most previous works has assumed a line-of-sight propagation model. In this paper we build on previous work in waveform optimization for multiple-input, multiple-output radar systems for the case where the signal, during propagation, under goes phase perturbations. In this paper we consider waveform design with the peak-to-average power ratio (PAPR), an issue of practical importance. Furthermore, we couple the design of the waveform with an adaptive receiver and obtain, simultaneously, the weights in an adaptive adaptive matched filter. An example of a clutter and target model is provided to show how the optimal waveform design improves the detection performance of a random-phase radar compared to traditional waveforms.