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In this paper, we focus on constant-modulus waveform design for the dual useof radar target detection and cellular transmission. As the MIMO radartypically transmits orthogonal waveforms to search potential targets, we aim atjointly minimizing the downlink multi-user interference and thenon-orthogonality of the transmitted waveform. Given the non-convexity in bothorthogonal and CM constraints, we decompose the formulated optimization problemas two sub-problems, where we solve one of the sub-problems by singular valuedecomposition and the other one by the Riemannian conjugate gradient algorithm.We then propose an alternating minimization approach to obtain a near-optimalsolution to the original problem by iteratively solve the two sub-problems.Finally, we assess the effectiveness of the proposed approach via numericalsimulations.

Dual-functional Radar-Communication Waveform Design under Constant-modulus and Orthogonality Constraints