# Radar Waveform Optimization for Joint Radar Communications Performance

^{1}

Bliss Laboratory of Information, Signals, and Systems and the Center for Wireless Information Systems and Computational Architectures (WISCA), Arizona State University, Tempe, AZ 85287, USA

^{2}

Department of Electrical Engineering, South Dakota School of Mines and Technology, Rapid City, SD 57701, USA

^{3}

School of Mathematical and Statistical Sciences, Arizona State University, Tempe, AZ 85287, USA

^{*}

Author to whom correspondence should be addressed.

^{†}

Current address: 650 E Tyler Mall, GWC 314, Tempe, AZ 85287, USA.

^{‡}

These authors contributed equally to this work.

Received: 15 November 2019 / Revised: 2 December 2019 / Accepted: 3 December 2019 / Published: 7 December 2019

(This article belongs to the Special Issue Cooperative Communications for Future Wireless Systems)

We develop and present a radar waveform design method that optimizes the spectral shape of the radar waveform so that joint performance of a cooperative radar communications system is maximized. The continuous water-filling (WF) spectral-mask shaping method presented in this paper is based on the previously derived spectral-mask shaping technique. However, the method presented in this paper is modified to utilize the continuous spectral water-filling algorithm to improve communications performance. We also introduce additional practical system constraints on the autocorrelation peak side-lobe-to-main-lobe ratio and radar waveform spectral leakage. Finally, we perform a numerical study to compare the performance of the continuous WF spectral-mask-shaping method with the previously derived method. The global estimation rate, which also accounts for non-local estimation errors, and the data rate capture radar and communications performance respectively.