一种改进的小波阈值函数去噪方法

针对传统小波阈值去噪算法中软阈值函数和硬阈值函数的不足,在现有文献设计的阈值函数的基础上,构造一个新的阈值函数,它不仅能克服软、硬阈值函数的缺点,同时对噪声的处理更具有灵活性。通过Matlab仿真,对软、硬阈值函数以及本文构造阈值函数的去噪效果,在信噪比(SNR)和均方根误差(RMSE)两个方面进行对比。结果表明,本文提出的阈值函数在信号去噪处理中,能获得更高的信噪比以及更小的均方根误差,具有很好的降噪效果。

Denoising method based on improved wavelet threshold function

Aiming at the deficiencies of soft threshold function and hard threshold function in traditional wavelet threshold denoising algorithm,a new threshold function is created based on the existing threshold function in literatures.This function can overcome the disadvantages of soft and hard threshold functions,and have better flexibility in denoising.Through Matlab simulation,the denoising effects of soft and hard threshold function and the proposed function were compared in the SNR and RMSE.The simulation results indicate that the proposed function can get a higher SNR and smaller RMSE in denoising,and has a very good denoising effect.