Joint Optimization of Waveform and Filter for MIMO DFRC System in Multiuser Multitarget Environment

This article considers the application scenarios of dual-function radar communication (DFRC) systems with multiple communication users and multiple detection targets. Generally, communication requires the transmission of data to users, whereas the task of radar is to get the target parameters by analyzing echoes. Therefore, we jointly optimize the radar-receiving filter and dual-function waveform in the integrated sensing and communication system. Unlike existing research, which introduced a tradeoff parameter to integrate radar and communication functions into one objective function, we minimize communication multiuser interference energy under radar signal-to-interference-plus-noise ratio constraints. In addition, a low peak-to-average-power ratio constraint is imposed on the waveform to avoid nonlinear distortion after amplification. According to the alternating direction method of multipliers framework, a cyclic algorithm is presented to seek the solution of the multiconstraint nonconvex optimization problem. In addition, we discuss the proposed method from computational load and convergence. The numerical results demonstrate that the designed filter and waveform enable the DFRC system to achieve satisfactory communication and detection capabilities.