Optimal Power Allocation in Monostatic OFDM Joint Radar Communications Systems

In this paper, we examine the optimal power allocation of a multicarrier waveform for a dual-function radar-communication system. We derive an information theoretic optimization problem to enhance radar estimation while fulfilling a communication information rate constraint. We use Jensen's inequality to approximate the latter intractable problem. We illustrate the benefits of the proposed method, in terms of con-ditional mutual information, compared to that based on low and high signal-to-noise ratio approximations. We also demonstrate the trade-off between radar and communication metrics.