Wavelet Transform Adaptive De-noising Algorithm and Application Based on a Novel Variable Step Function

Jingjing Jin, Xu Wang, Shilong Li, Yingnan Wu
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引用次数: 5

Abstract

Research on a novel variable step function and use it in orthogonal wavelet transform least mean square (LMS) adaptive de-noising algorithm. The algorithmic principle was explained and the effect of orthogonal wavelet transform to arithmetic convergence speed was analyzed. A novel variable step function based on Sigmoid nonlinear functional relationship was proposed, and its characteristics were analyzed. It is applied to time domain LMS algorithm to analyze convergence speed and steady-state error of model identification. Then, the novel variable step function was used in orthogonal wavelet transform domain adaptive body vibration signal de-noising. The simulating results indicate that the novel variable step function gains well effect.
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基于变阶跃函数的小波变换自适应降噪算法及应用
研究了一种新的变阶跃函数,并将其应用于正交小波变换最小均方自适应去噪算法中。阐述了算法原理,分析了正交小波变换对算法收敛速度的影响。提出了一种基于Sigmoid非线性泛函关系的变阶跃函数,并对其特性进行了分析。将其应用于时域LMS算法,分析了模型辨识的收敛速度和稳态误差。然后,将该变阶跃函数应用于正交小波变换域自适应体振动信号去噪。仿真结果表明,该变阶跃函数具有较好的控制效果。
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