Tradeoff Between SE and PEB: An Asynchronous ICAL Case

The integrated communication and localization (ICAL) has become as a pivotal technology in the evolution towards B5G and 6G networks, particularly for a variety of emerging wireless applications. In ICAL networks, resource allocation and beamforming design are critical components that significantly influence both the precision of localization and the efficiency of communication. Moreover, high accuracy synchronization is extremely challenging in wireless networks. In this paper, we investigate the tradeoff between spectral efficiency (SE) and position error bound (PEB) by formulating a robust power and time-slot allocation and beamforming design problem for asynchronous ICAL networks with the imperfect initial position. We first illustrate the coupling between SE and position error through channel estimation error. Then, we derive a lower bound on the position error in terms of the Fisher information matrix (FIM). The alternating optimization, convex approximate and Bernstein-type inequality algorithms are proposed to solve the non-convex problems. Finally, the simulation results reveal the tradeoff between SE and PEB, and validate the robustness and effectiveness of the proposed algorithms.