中文说明：应用背景水声信道下的随机共振和分数阶傅立叶变换，通过对信号加噪经过随机共振得到信噪比加强，用功率谱图和frft图来对比随机共振前后的信号质量。关键技术随机共振的龙格库塔算法达到信噪比提高输出，遗传算法找到最优参数，功率谱图和分数阶傅立叶变换用图表示随机共振是否有效。
English Description：
Application backgroundUnder the underwater acoustic channel, the random resonance and fractional Fu Liye transform, the signal to noise ratio is enhanced by random resonance, and the quality of the signal is compared with that of the random resonance with the power spectrum and FRFT diagram.Key TechnologyStochastic resonance of Runge Kutta algorithm to signal to noise ratio increased output, genetic algorithm to find the optimal parameters, power spectrum graph and fractional Fourier transform graphical representation of the stochastic resonance is effective.