基于新阈值函数的小波阈值去噪算法及仿真

Wavelet threshold noising algorithm and simulation based on the new threshold function

针对小波阈值去噪算法中传统软、硬阈值函数以及现有的一些文献所设计阈值函数的不足,提出一个新的阈值函数,此函数具有更好的光滑性,其随着小波分解尺度的变化而发生变化,具有很好的适应性,函数中无不确定参数,提高了去噪稳定性。仿真结果显示,采用新阈值函数去噪后的信号信噪比和均方根误差均优于传统阈值函数及现有的两种改进阈值函数,去噪效果良好,具有广阔的应用前景。

Aiming at the insignificance of traditional soft and hard threshold functions and some of the threshold functions in existing literature,a new threshold function is presented,which has better smoothness,it changes with the wavelet decomposition scale changes,having good adaptability,there is no uncertain parameters in the function,improving noising stability. Simulation results show that the use of the new threshold function noising,signal＇s SNR and RMSE are better than the use of traditional soft and hard threshold functions and some of the threshold functions in existing literature,having good noising effect and broad application prospect.