小波的幾個(gè)術(shù)語及常見的小波基介紹-資料下載頁
2025-06-29 01:29本頁面
【正文】 ry yes1Morlet小波 Morlet小波是高斯包絡(luò)下的單頻率正弦函數(shù)，沒有尺度函數(shù)，是非正交分解。 在Matlab中輸入命令waveinfo(39。morl39。)可得到如下信息： Definition: morl(x) = exp(x^2/2) * cos(5x) Family Morlet Short name morl Orthogonal no Biorthogonal no Compact support no DWT no CWT possible Support width infinite Effective support [4 4] Symmetry yes1ComplexGaussian小波 屬于一類復(fù)小波，沒有尺度函數(shù)。 在Matlab中輸入命令waveinfo(39。cgau39。)可得到如下信息： Definition: derivatives of the plexGaussian function cgau(x) = Cn * diff(exp(i*x)*exp(x^2),n)where diff denotes the symbolic derivative and where Cn is aconstant Family Complex Gaussian Short name cgau Wavelet name cgaun Orthogonal no Biorthogonal no Compact support no DWT no Complex CWT possible Support width infinite Symmetry yes n even == Symmetry n odd == AntiSymmetry1ComplexShannon Wavelets：shan 在Matlab中輸入命令waveinfo(39。shan39。)可得到如下信息： Definition: a plex Shannon wavelet is shan(x) =Fb^{}*sinc(Fb*x)*exp(2*i*pi*Fc*x) depending on two parameters: Fb is a bandwidth parameter Fc is a wavelet center frequency The condition Fc Fb/2 is sufficient toensure that zero is not in the frequency supportinterval. Family Complex Shannon Short name shan Wavelet name shanFbFc Orthogonal no Biorthogonal no Compact support no DWT no plex CWT possible Support width infinite1ComplexFrequency BSpline Wavelets (復(fù)高斯B樣條小波) 樣條函數(shù)（splinefunction）指一類分段（片）光滑、并且在各段交接處也有一定光滑性的函數(shù)，簡稱樣條。 在Matlab中輸入命令waveinfo(39。fbsp39。)可得到如下信息： Definition: a plex Frequency BSplinewavelet is fbsp(x) = Fb^{}*(sinc(Fb*x/M))^M*exp(2*i*pi*Fc*x) depending on three parameters: M is an integer order parameter(=1) Fb is a bandwidth parameter Fc is a wavelet center frequency For M = 1, the condition Fc Fb/2 issufficient to ensure that zero is not in the frequency supportinterval. Family Complex Frequency BSpline Short name fbsp Wavelet namefbspMFbFc Orthogonal no Biorthogonal no Compact support no DWT no plex CWT possible Support width infinite1ComplexMorlet小波 Morlet小波是一種單頻復(fù)正弦調(diào)制高斯波，也是最常用的復(fù)值小波該小波，在時(shí)頻兩域均具有良好的分辨率，將此小波加以改造特別適用于地震資料的分析。 在Matlab中輸入命令waveinfo(39。cmor39。)可得到如下信息： Definition: a plex Morlet wavelet is cmor(x) =(pi*Fb)^{}*exp(2*i*pi*Fc*x)*exp((x^2)/Fb) depending on two parameters: Fb is a bandwidth parameter Fc is a wavelet center frequency Family Complex Morlet Short name cmor Wavelet name cmorFbFc Orthogonal no Biorthogonal no Compact support no DWT no plex CWT possible Support width infinite
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