This paper investigates the symbol error rate (SER) performance of the pilot-aided simultaneous communication and localisation (PASCAL) system. A scenario where multiple drones transmit communication signals to a base station (BS), which needs to simultaneously decode the signals and continuously locate the drones' positions during the communication session, is considered. The BS operates in two stages: first, it estimates the drones' location parameters using pilot signals; second, it performs data detection by reconstructing the channel response based on the estimated location parameters. The theoretical analysis presented demonstrates that the estimated location parameters follow Gaussian distributions with means equal to the actual values and variances determined by the root mean square error (RMSE) of the estimator. Using these distributions, the average SER is derived to quantify the impact of localisation errors on decoding performance. This analysis highlights the synergy between communication and localisation, providing valuable insights into the influence of localisation inaccuracies on the performance of location-aware communication systems. Simulations are conducted to validate the theoretical derivations.

翻译：本文研究了导频辅助同步通信与定位（PASCAL）系统的符号误码率（SER）性能。考虑了一种场景，其中多架无人机向一个基站（BS）发送通信信号，而该基站需要在通信会话期间同时解码信号并持续定位无人机的位置。基站分两个阶段运行：首先，利用导频信号估计无人机的位置参数；其次，基于估计的位置参数重建信道响应以进行数据检测。所提出的理论分析表明，估计的位置参数服从高斯分布，其均值等于实际值，方差由估计器的均方根误差（RMSE）决定。利用这些分布，推导出了平均SER，以量化定位误差对解码性能的影响。该分析揭示了通信与定位之间的协同作用，为定位误差对位置感知通信系统性能的影响提供了有价值的见解。通过仿真验证了理论推导。