Optimizing Penalty Parameter Selection of Alternating Direction Methods of Multipliers for an Improved Joint Radar-Communication Waveform Design

In this paper, we propose an improved waveform design strategy for multiple-input multiple-output (MIMO) radar-communication systems. At first, we formulate the waveform design as an optimization problem incorporating constraints on waveform similarity and constant power. Next, we utilize a well-known alternating direction method of multipliers (ADMM) algorithm as our chosen solution strategy for addressing this problem. More importantly, we introduce a novel method of choosing the penalty parameters for achieving an improved performance in terms of desired beampattern approximation. Furthermore, we prioritize the power of the main beams in the desired directions of the radar target and communication receiver, while simultaneously minimizing sidelobes. Finally, these waveforms effectively synthesize the desired signals for joint radar and communication systems. The simulation results support and validate the effectiveness of the proposed methodology.