改进小波阈值函数信号去噪研究

摘要

为解决信号去噪中白噪声的抑制问题,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,提出一个双变量阈值函数.与传统的硬阈值、软阈值函数相比,该函数有优越的数学特性.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,均优于上述去噪方法,具有较高的实用价值.%To solve the white noise suppression in signal denoising, 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 haa perfect mathematical properties by contrasting to the classical hard and soft function. The simulation experiments show that the new threshold function can suppress the white noise effectively, it is better than above mentioned denoising methods in the visual effect, or in Signal Noise Ratio(SNR) and Mean Square Error(MSE). Thus, it has high practical value.