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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。
In order to solve the problem of white noise suppression in signal de-noising, a bivariate threshold function is proposed based on the multi-resolution wavelet threshold de-noising method proposed by D.L.Donoho and I.M. Johnhnstone. Compared with the traditional hard threshold, soft threshold function, the function has superior mathematical properties. Simulation results show that the new threshold function can effectively remove white noise, which is superior to the above denoising methods both in visual effect and quantitative index of signal-to-noise ratio and mean square error, which is of high practical value.