小波分析及其工程應(yīng)用講義_4(已改無錯字)
2023-03-04 23:47:22 本頁面
【正文】 ions 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參數(shù)外，增加了一個頻率參數(shù)，克服了小波時間分辨率高時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。即當(dāng)時間或頻率趨向無窮大時，函數(shù)從一個有限值收斂到 0的速度；(2) 對稱性。在圖像處理中用于避免移相；(3) 消失矩階數(shù)。有利于數(shù)據(jù)壓縮；(4) 正則性。有利于信號或圖像的重構(gòu)獲得較好的平滑效果。在 MATLAB命令行輸入： waveinf
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