在D.L.Donoho和I.M.Johnstone提出的多分辨分析小波阈值去噪方法的基础上,提出了一种新的阈值函数。与传统的硬阈值、软阈值、半软阈值以及已有的改进阈值函数相比,该函数不仅易于计算,而且具有优越的数学特性。通过Heavisine和Drop-pler信号的仿真实验表明,新的阈值函数可以有效地去除白噪声干扰,无论在视觉效果上还是在信噪比和均方误差定量指标上,均优于上述几种去噪方法,具有较高的实用价值。
A new threshold function is put forward, which is based on the multiresolution analysis wavelet threshold denoising method introduced by D.L.Donoho and I.M.Johnstone.The new threshold function is not only easy to compute but also has perfect mathematical properties by contrast to the classical hard, soft, semisoft threshold function and several existing improved threshold functions.The simulation experiments for Heavisine and Droppler signals show that the new threshold function can suppress the white noise effectively,it is better than above mentioned denoising methods in the visual effect and Signal Noise Ratio(SNR) and Mean Square Error(MSE).Thus,it has high practical value.