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Joint communication and radar sensing (JCAS) integrates communication andradar/radio sensing into one system, sharing one transmitted signal. In thispaper, we investigate JCAS waveform optimization underlying communicationsignals, where a base station detects radar targets and communicates withmobile users simultaneously. We first develop individual novel waveformoptimization problems for communications and sensing, respectively. Forcommunications, we propose a novel lower bound of sum rate by integratingmulti-user interference and effective channel gain into one metric thatsimplifies the optimization of the sum rate. For radar sensing, we consideroptimizing one of two metrics, the mutual information or the Cramer-Rao bound.Then, we formulate the JCAS problem by optimizing the communication metricunder different constraints of the radar metric, and we obtain both closed-formsolutions and iterative solutions to the non-convex JCAS optimization problem.Numerical results are provided and verify the proposed optimization solutions.

Waveform Optimization with Multiple Performance Metrics for Broadband Joint Communication and Radar Sensing