新型小波阈值函数的仿真及应用

提出了一种新型小波阈值函数.借助于典型信号和高斯白噪声叠加形成测试信号,对传统小波阈值函数、改进小波阈值函数及新型小波阈值函数的去噪效果进行对比仿真研究.结果表明,采用新型小波阈值函数所得到的去噪信号,其信噪比和均方差均最优.此外,将新型小波阈值函数用于滚动轴承的实际振动信号的去噪研究,从去噪信号的时域信号对比及信噪比来看,该函数具有较好的去噪效果,使信噪比得到了较大提高.

Simulation and Application of a New Wavelet Threshold Function

A novel wavelet threshold function is established.Based on the test signals formed by typical signals and Gaussian white noise,the de-noising effects are simulated and compared for the traditional wavelet threshold function,the improved wavelet threshold function and new wavelet threshold function.The simulation results demonstrate that the signal-noise ratio and standard deviation of the new wavelet threshold function for the de-noised signals are optimum.In addition,the new wavelet threshold function is applied to investigate the de-noising effects of the actual vibration signals of rolling bearing.From the contrasts of time domain signals and signal-noise ratio of de-noising signals,the novel wavelet threshold function shows better de-noising effect,and signal-noise ratio is greatly improved.