Abstract
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.
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