小波分析及其工程應(yīng)用講義_4(已修改)
2025-02-21 23:47 本頁面
【正文】 WAVELT TRANSFORM AND ITS APPLICATIONS小波變換與工程應(yīng)用WAVELT TRANSFORM AND ITS APPLICATIONS李艷 講師自動(dòng)化科學(xué)與工程學(xué)院The Discrete Wavelet Transform(1)In wavelet analysis, we often speak of approximations and details.The approximations are the highscale, lowfrequency ponents. The details are the lowscale, highfrequency ponents. The Discrete Wavelet Transform(2)These signals A and D are interesting, but we get 2023 values instead of the 1000 we had. By looking carefully at the putation, we may keep only one point out of two in each of the two 2023length samples to get the plete information. This is the notion of downsampling. We produce two sequences called cA and cD.The Discrete Wavelet Transform(3)Example of the Discrete Wavelet TransformMultiple Level deposition The deposition process can be iterated, with successive approximations being deposed in turn, so that one signal is broken down into many lower resolution ponents. This is called the wavelet Since the analysis process is iterative, in theory it can be continued indefinitely. In reality, t
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