Shi Xianhua, Sun Yimao, Tian Jie, Chen Maolin, Liu Youjiang, Xie Nan, Zhang Jian
Institute of Electronic Engineering, CAEP, Mianyang 621999, China.
College of Computer Science, Sichuan University, Chengdu 610065, China.
Sensors (Basel). 2021 Sep 12;21(18):6102. doi: 10.3390/s21186102.
This paper introduces the structure of a -ary pulse position modulation (PPM) signal and presents a noncoherent suboptimal receiver and a noncoherent optimal receiver. Aiming at addressing the lack of an accurate theoretical formula of the bit error rate (BER) of a -ary PPM receiver in the additive white Gaussian noise (AWGN) channel in the existing literature, the theoretical formulas of the BER of a noncoherent suboptimal receiver and noncoherent optimal receiver are derived, respectively. The simulation results verify the correctness of the theoretical formulas. The theoretical formulas can be applied to a -ary PPM system including binary PPM. In addition, the analysis shows that the larger the , the better the error performance of the receiver and that the error performance of the optimal receiver is about 2 dB better than that of the suboptimal receiver. The relationship between the threshold coefficient of the suboptimal receiver and the error performance is also given.
本文介绍了α进制脉冲位置调制（PPM）信号的结构，并提出了一种非相干次优接收机和一种非相干最优接收机。针对现有文献中缺乏α进制PPM接收机在加性高斯白噪声（AWGN）信道中误码率（BER）准确理论公式的问题，分别推导了非相干次优接收机和非相干最优接收机BER的理论公式。仿真结果验证了理论公式的正确性。该理论公式可应用于包括二进制PPM在内的α进制PPM系统。此外，分析表明，α越大，接收机的误码性能越好，且最优接收机的误码性能比次优接收机约好2dB。还给出了次优接收机的阈值系数与误码性能之间的关系。
