Joint antenna position and transmit signal optimization for ISAC system with movable antenna array

This paper studies an integrated sensing and communication (ISAC) system with movable antennas (MAs), where the position of antennas can be flexibly adjusted to reshape the wireless channel. We aim at jointly optimizing the positions of MAs, beamforming of the communication signal, and the covariance of the sensing signal to maximize the overall transmit beampattern gain while ensuring the quality of communication service requirement. Considering the non-convexity of this optimization problem, we propose an efficient algorithm to obtain a high-quality solution by using alternating optimization, semi-definite relaxation (SDR) and Taylors theorem. The simulation results show that the proposed algorithm significantly improves the beampattern gain.