Stochastic resonance（SR） enhances the nonlinear system behavior with the assistance of noise, including the sensitivity and selectivity of the response to the exterior stimulus. The energy-transfer mechanism makes t...Stochastic resonance（SR） enhances the nonlinear system behavior with the assistance of noise, including the sensitivity and selectivity of the response to the exterior stimulus. The energy-transfer mechanism makes the weak information revealed in the output spectrum, while the time-waveform is distorted. The distortion analysis was made both from the particle＇s dynan-fics and signal processing. The factors causing the deviation in the output are presented and the function of the recovery system is proposed. By the investigation of the particle＇s motion track in the bistable system and the suggested recovery system, the influences of noise and system parameters on the recovery course were discussed. Moreover, the pulse distortion appearing the recovery waveform caused by the particle＇s transitions at the bistable potential＇ inflexions was explained. Due to different characteristics, cascaded-bistable SR or mono-stable SR was introduced to process different types of signals. The final recovery signal is just the suggested recovery system＇s response to the SR output. Meanwhile, the recovery system is optional, as parameter-tuned or parameter-fixed. Since the method requires no average processing, it is applicable to a single sample with limited length. The numerical simulations reveal that the SR recovery method can recover the waveform containing weak information submerged ha noise effectively. The engineering application to the vibration analysis of metal cutting chose the combination of mono-stable SR and the parameter-fixed recovery system. Because the optimal SR state is not required strongly, the system parameters are tuned in a wider range than the traditional SR processing methods.展开更多
在强噪声背景下,针对微弱信号的检测和提取困难的问题,在经典的双稳态系统模型基础上,结合Gaussian Potential模型提出了一种新的组合型幂指函数的三稳态系统模型。首先,构造组合型幂指函数的三稳态系统模型,通过调节系统参数进行数值仿...在强噪声背景下,针对微弱信号的检测和提取困难的问题,在经典的双稳态系统模型基础上,结合Gaussian Potential模型提出了一种新的组合型幂指函数的三稳态系统模型。首先,构造组合型幂指函数的三稳态系统模型,通过调节系统参数进行数值仿真,验证新型的三稳态系统模型能够产生随机共振现象;其次,以输出的平均信噪比(SNR)作为测度指标,结合人工鱼群智能算法进行相应参数寻优,使得组合型幂指函数的三稳态系统输出信噪比最大,从而达到随机共振现象。轴承故障诊断实验分析中,在输入信噪比为-25.8 d B条件下,分别通过双稳态系统和组合型幂指函数的三稳态系统得到的输出信噪比分别为-13.1 d B和-8.59 d B,说明组合型幂指函数三稳态系统性能优于双稳态系统性能。展开更多
基金supported by National Hi-tech Research and Development Program of China (863 Program, Grant No. 2007AA04Z414)National Natural Science Foundation of China (Grant No. 50675153)+1 种基金Tianjin Municipal Natural Science Foundation of China (Grant No. 07JCYBJC04600)Specialized Research Fund for Doctoral Program of Higher Education of China (Grant No. 20060056016)
文摘Stochastic resonance（SR） enhances the nonlinear system behavior with the assistance of noise, including the sensitivity and selectivity of the response to the exterior stimulus. The energy-transfer mechanism makes the weak information revealed in the output spectrum, while the time-waveform is distorted. The distortion analysis was made both from the particle＇s dynan-fics and signal processing. The factors causing the deviation in the output are presented and the function of the recovery system is proposed. By the investigation of the particle＇s motion track in the bistable system and the suggested recovery system, the influences of noise and system parameters on the recovery course were discussed. Moreover, the pulse distortion appearing the recovery waveform caused by the particle＇s transitions at the bistable potential＇ inflexions was explained. Due to different characteristics, cascaded-bistable SR or mono-stable SR was introduced to process different types of signals. The final recovery signal is just the suggested recovery system＇s response to the SR output. Meanwhile, the recovery system is optional, as parameter-tuned or parameter-fixed. Since the method requires no average processing, it is applicable to a single sample with limited length. The numerical simulations reveal that the SR recovery method can recover the waveform containing weak information submerged ha noise effectively. The engineering application to the vibration analysis of metal cutting chose the combination of mono-stable SR and the parameter-fixed recovery system. Because the optimal SR state is not required strongly, the system parameters are tuned in a wider range than the traditional SR processing methods.
文摘在强噪声背景下,针对微弱信号的检测和提取困难的问题,在经典的双稳态系统模型基础上,结合Gaussian Potential模型提出了一种新的组合型幂指函数的三稳态系统模型。首先,构造组合型幂指函数的三稳态系统模型,通过调节系统参数进行数值仿真,验证新型的三稳态系统模型能够产生随机共振现象;其次,以输出的平均信噪比(SNR)作为测度指标,结合人工鱼群智能算法进行相应参数寻优,使得组合型幂指函数的三稳态系统输出信噪比最大,从而达到随机共振现象。轴承故障诊断实验分析中,在输入信噪比为-25.8 d B条件下,分别通过双稳态系统和组合型幂指函数的三稳态系统得到的输出信噪比分别为-13.1 d B和-8.59 d B,说明组合型幂指函数三稳态系统性能优于双稳态系统性能。
