相位噪声中弱信号检测的信噪比计算与分析

Signal-to-Noise Ratio Calculation and Analysis for Weak Signal Detection in the Phase Noise

考虑有用信号建模于复数相位,研究在相位噪声影响下弱信号检测的信噪比问题。首先,给出零均值复高斯噪声下复数相位中噪声的分布和特征,提出针对弱信号的噪声特征近似计算方法。然后,考虑平坦衰落信道即信号幅度一定时,推导基于多样本的信号检测信噪比公式及其近似计算方法。之后,考虑瑞利衰落信道,以二进制相位调制为例,推导平均检测信噪比与误码率的理论公式及近似计算方法。最后,仿真验证所提信噪比与误码率计算方法的有效性。本文研究对于相位信号检测类问题有很好的参考价值。

The test signal-to-noise ratio(TSNR)for weak signal detection is analyzed when the useful signal is modeled in the phase of the complex data. Firstly,considering the zero-mean complex Gaussian noise in complex domain,the corresponding phase noise’s distribution functions and numerical characteristics are discussed. Closed-form algorithms are developed for noise characteristics approximation under the assumption of weak signals. Secondly,considering the flat fading channel,i. e.,fixed signal amplitude,the TSNR of weak signal detection based on multiple samples is derived and the approximation calculation is developed. Then,the TSNR and bit error ratio of the Rayleigh fading channel are studied,where the binary phase modulation is employed as an example. Finally,the proposed TSNR formulas and their closed-form approximations are demonstrated by numeral simulations. This paper offers valuable advices to the research on the signal detection in the phase domain.