非平稳信号自适应滤波的小波模型与滤波方法

分析自适应滤波和小波滤波的原理与方法，建立非平稳信号的自适应滤波的小波模型和滤波方法。利用小波变换的多尺度分解，将分离出来的噪声成分作为自适应滤波器的输入信号。通过自适应滤波器组能同时实现对多种噪声成分的最佳滤波，是实现信噪分离的最佳滤波方法，具有优良的滤波性能。模型验证和工程实例应用表明，该方法能实现非平稳信号在同频段对噪声成分和有用信号的最佳估计。

MODEL AND METHOD OF ADAPTIVE FILTERING WITH WAVELET TRANSFORMS FOR TRANSIENT SIGNAL

The principle and method of the adaptive filter and the filtering with wavelet transform are analyzed, and the model and method of adaptive filtering with wavelet transforms for the transient signal is established. The separated noise of signal by the multi-scale decomposition of wavelet transforms, is the input signal of adaptive filter, and accordingly the optimal filtering method of signal-noise decomposition is realized. By the adaptive filter group based on the wavelet transform, the optimal filtering to the multi-noise of signal is achieved at the same time, and the method presented has the excellent filtering capability. Examples of application demonstrate that this method presented is excellent to realize the optimal estimate to the valuable signal and noise of the transient signal in the same frequency segment.