基于三稳态随机共振的BPSK信号检测算法

Detection Algorithm of BPSK Signal Based on Tri-stable Stochastic Resonance

基于高斯白噪声下BPSK信号接收误码率较高的问题,提出了一种基于三稳态随机共振系统来降低BPSK信号误码率的方法。首先,基于随机共振的BPSK通信系模型,推导了系统的输出信噪比及信噪比增益的表达式。其次,以信噪比增益为衡量指标,探究了系统参数a、b、c和噪声强度D对共振输出的影响。研究表明,随着噪声强度的增加,输出信噪比呈现单峰结构;信噪比增益始终大于1,峰值随着系统参数b的增大而逐渐增大,但随着系统参数a和c的增大而减小。最后,在强噪声背景下,对BPSK信号的传统接收方案和所提方法的误码率进行仿真对比分析,结果证实信号在经过随机共振系统后,时域图像更为清晰,毛刺明显减少,频谱幅值是传统方法的4.613倍。

For the problem of low efficiency of digital signal detection in the background of white Gaussian noise,a method based on tri-stable stochastic resonance was proposed,which is used to reduce the bit error rate of BPSK signal.Firstly,based on the BPSK communication system model of stochastic resonance,the expressions of output SNR and SNR gain of the system were derived.Secondly,the signal-to-noise ratio gain was treated as an index to measure the stochastic resonance phenomenon.The influence laws of the system parameters and noise intensity on the stochastic resonant output of the tri-stable system were explored.Results showed that with the increase of noise intensity,signal-to-noise ratio gain presents a uni-modal structure,The signal-to-noise ratio gain was always greater than 1,and the peak value gradually increased with the increase of system parameter b,but decreased with the increase of system parameters a and c.Lastly,Under the background of strong noise,the bit error rates of BPSK signal were compared between traditional receiving scheme and the proposed method.Results showed that the time domain image of the signal after passing through the stochastic resonance system is clearer,the burr is significantly reduced,and the spectrum amplitude is 4.613 times of the traditional method.