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小波分析及其工程應(yīng)用講義_4(文件)

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【正文】 and thus is associated with the approximations of the wavelet deposition.In the same way that iteratively upsampling and convolving the highpass filter produces a shape approximating the wavelet function, iteratively upsampling and convolving the lowpass filter produces a shape approximating the scaling function.Multistep Deposition and ReconstrctionThis process involves two aspects: breaking up a signal to obtain the wavelet coefficients, reassembling the signal from the coefficients. Wavelet Package AanlysisIn wavelet packet analysis, the details as well as the approximations can be split. This yields more than different ways to encode the signal. This is the wavelet packet deposition tree.For instance, wavelet packet analysis allows the signal S to be represented as A1 + AAD3 + DAD3 + DD2. 小波包函數(shù)除了尺度和平移兩個(gè)參數(shù)外,增加了一個(gè)頻率參數(shù),克服了小波時(shí)間分辨率高時(shí)頻率分辨率低的缺陷。Introduce of Wavelet Function( 1)Introduce of Wavelet Function( 2)根據(jù)不同的標(biāo)準(zhǔn),小波函數(shù)具有不同的類型(1) 小波函數(shù)和尺度函數(shù)及其傅立葉變換的支撐長度。有利于信號或圖像的重構(gòu)獲得較好的平滑效果。一維小波分析用于識別含噪信號的有用信號發(fā)展趨勢216。二維小波分析用于圖像融合216。在這些奇異信號中 ,信號的奇異程
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