双稳态随机共振系统参数选择快速算法及应用

A fast preference algorithm for bi-stable stochastic resonance systems and its application

针对双稳态随机共振(SR)系统参数选择困难的问题,提出了基于龙格库塔数值算法的随机共振参数选择快速算法,并将其应用于目标线谱检测.首先对双稳态SR系统进行参数归一化,在此基础上提出了由输入信噪比来选择系统步长,并根据归一化频率和谐波估计幅值和来计算SR系统参数的参数选择快速算法.该算法能够对不满足绝热条件下的高频或大尺度离散信号进行处理,快速选择SR系统的系统参数,并根据龙格库塔数值算法求得输出序列.数值仿真验证了此算法的正确性,同时海试数据处理结果表明,该算法能够快速地确定合适的SR系统参数,使信噪比为1.013 5 dB的目标辐射线谱明显的凸显出来.

A fast preference algorithm for stochastic resonance（SR） systems based on a Runge-Kutta algorithm which was applied in line-spectrum detection was put forward.The model of the bi-stable SR system was first unitary.Then the algorithm which calculated parameters according to the step chosen by an input SNR,the unitary frequency,and the amplitude estimated by a harmonic wave were given.This algorithm could be used to choose parameters while dealing with high frequency and large scale signals out of the adiabatic condition and resolving output data based on the Runge-Kutta algorithm.The validity of the algorithm was demonstrated by numerical simulation.Also,real data processing shows the algorithm can fix the parameters of an SR system quickly to enhance the target line-spectrum intensity of 1.0135 dB.