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基于正弦和余弦函数的小波滤波器的统一解析构造 总被引:3,自引:0,他引:3
首次提出用正弦函数和余弦函数解析构造任意长度的紧支集正交小波滤波系数,首先给出了对N=2k-1时(k个参数)的解析结构,其次给出了N=2k时正交小波滤波器的统一构造方法,此后验证了著名的Daubechies小波滤波器的构成参数,并验证了一些被广泛的使用的著名小波分析滤波器,所有这些滤波器容易用一组参数直接计算出来,小波滤波器的解析构造使得在应用中动态选择小波基变得极基容易,这一结果必将在小波理论,应用数学及模式识别等领域产生十分重要的作用。 相似文献
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CONSTRUCTION OF COMPACTLY SUPPORTED BIVARIATE ORTHOGONAL WAVELETS BY UNIVARIATE ORTHOGONAL WAVELETS 总被引:4,自引:0,他引:4
After some permutation of conjugate quadrature filter, new conjugate quadrature filters can be derived. In terms of this permutation, an approach is developed for constructing compactly supported bivariate orthogonal wavelets from univariate orthogonal wavelets. Non-separable orthogonal wavelets can be achieved. To demonstrate this method, an example is given. 相似文献
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Uniform Analytic Construction of Wavelet Analysis Filters Based on Sine and Cosine Trigonometric Functions 总被引:1,自引:0,他引:1
1 Introduction1 .1IntroductionofbackgroundWaveletanalysisanditsapplicationshavebecomeoneofthefastestgrowingresearchareasinrecentyears[1- 9].Especially ,thewavelettransformsbasedonorthonormalbasesofcompactlysupportedwaveletarewidelyusedinimagecompression ,com… 相似文献
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APPROXIMATE SAMPLING THEOREM FOR BIVARIATE CONTINUOUS FUNCTION 总被引:1,自引:0,他引:1
An approximate solution of the refinement equation was given by its mask, and the approximate sampling theorem for bivariate continuous function was proved by applying the approximate solution . The approximate sampling function defined uniquely by the mask of the refinement equation is the approximate solution of the equation , a piece-wise linear function , and posseses an explicit computation formula . Therefore the mask of the refinement equation is selected according to one' s requirement, so that one may controll the decay speed of the approximate sampling function . 相似文献
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