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scaling function中文是什么意思

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  • This article shows a new method to construct symmetric compacted orthogonal wavelet packet basis : the original compacted orthogonal wavelet basis and scaling function are decomposed into symmetric and anti - symmetric parts respectively , then we prove that three of four parts is also wavelet basis and another is scale function . we find it simple to process 1 - d signal . finally , by these results above , all the results above are applied to dsp
    本文提出一种新的对称化方法,把一大类紧支集实值的非对称正交小波函数分解成对称和反对称两部分,并证明了其相应的两部分仍然构成对称和反对称的紧支正交小波基,而且我们发现尺度函数对称和反对称部分分别是某子空间的尺度函数和小波函数。
  • Wavelet analysis based on wavelet transform is the most perfect combination of functional analysis , fourier transform , spline analysis , harmonic analysis and numerical analysis at present , it is a new developing branch in mathematic . although some scholars solved differential equations of structure engineering using wavelet , there have some defects . such as the scaling function and wavelet function have not definit expression , some troubles existed in calculating connection coefficients , its values is instability in some times and so on
    虽有学者将小波应用于结构工程中的微分方程求解当中,但是由于daubechies小波的尺度函数和小波函数均没有明确的表达式,在计算关联系数时则存在一定的困难,利用数值法计算关联系数有不稳定等一些缺点,还限制着其应用的广度。
  • They have a number of desirable properties not possessed by wavelets of daubechies type , namely : they have symmetry property ; the scaling function and physical space representation are identical ; expansion coefficients are easily computed ; in certain respects they are more accurate ; the functions ( but not their derivatives ) can be computed without solving an eigenproblem . the price to be paid for these advantages is the loss of orthogonality , interpolating wavelets are only biorthogonal
    本文主要的研究成果是把一维的某些结论推广到高维,分为以下四个方面: ( 1 )使用二元拉格朗日插值法构造二元尺度函数和小波函数,使其具有紧支性、对称性以及函数展开式的系数易于计算等优点。唯一的缺陷是缺乏正交性。
  • On the basis of the dagang oil field downhole tools ware management information system , the more comprehensive downhole tools information material ware and more full - scale function downhole tools ware management information system have been founded . the project of downhole tools ware database management information system that is based on the b / s and c / s has been brought forward . the project includes system construction , design project , software construction and database construction design project
    本文以大港油田井筒工具库管理为例,根据用户需求分析建立了较全面井筒工具信息资源库、功能较完善的井筒工具库管理信息系统;提出了基于b s和c s相结合的井筒工具库数据库管理信息系统解决方案,包括系统的体系结构、设计方案、软件结构和数据库结构设计方案。
  • The response and excitation signals are first decomposedusing the daubechies wavelet scaling function . then the differential vibrationequations of the time - varying system are transformed into simple linear equationsbased on the orthogonality of the scaling functions . the physical parameters can beidentified directly by solving the linear equations
    运用daubechies小波对线性时变系统的激励和该激励作用下的响应做变换,将变换后的响应和激励代入微分方程,利用daubechies小波尺度函数的正交性,将微分方程转换成简单的代数方程组,求解方程组,识别系统的时变参数。
  • We study the design of haar wavelet for scale = a ( a2 ) and present a decomposition and reconstruction algorithm in chapter 3 . secondly , in chapter 4 we study the design of orthonormal mutiwavelets of multiplicity r with scale = a ( a2 ) . by the factorization theory , we give parametric expressions for orthonormal causal fir multifilter banks of r = 2 and scale = 4 , and we found the length of scaling function can be controlled by the parameters . finally , we provide the error analysis between discrete multiwavelet transform coefficients and continue multiwavelet transform coefficients
    由于多小波变换系数的计算是直接与其预滤波方式相联系的,而在单小波变换系数计算中之所以能由近似表示就是因为尺度函数具有低通特性和平移正交性,由此我们研究了能满足以上要求的预滤波,并对离散小波变换系数和连续小波变换系数之间的差异作了分析,从误差分析结果我们可以预见:为了减少误差我们可以通过对预滤波的进一步设计来控制。
  • ( 4 ) as an application of wavelets , the first , wavelet - based solution to ode to be researched , the second , construction the hermite b - spline bases scale functions with boundary conditions on the interval , combining with garlerkin method , to solve differential equation in finite - length beam problem ; the third , m - scaling function solution to ode in dynamics
    ( 4 )把小波函数用于微分方程的求解中。首先利用插值小波求解常微分方程,其次,满足边界条件的小波尺度函数,结合galerkin方法求解结构力学中的微分方程;最后,使用m -尺度函数求解梁结构中的微分方程。
  • On the ground of multiresolution analysis , wavelet galerkin method uses wavelet scaling function as the basis for the resolution space , with whose linear combination any function in this space can be expressed . then the partial differential equations ( for short pdes ) can be dispersed to a linear system through galerkin
    小波galerkin法是根据多分辨分析,利用小波尺度函数构造解空间的基来线性表示该空间中的任意函数,然后通过galerkin形式的变分把偏微分方程(简称pdes )离散成一个线性系统。
  • In detail , a class of cardinal orthogonal scaling functions , which are abbreviated as cosf , are constructed in the third section , and are proved that they have the properties of decay ; in the fourth section , the regularities of these cosf are studied in the generalized condition ; under the two special cases , the regularities and the decays of these cosf are discussed in the fifth and sixth sections , respectively
    具体为:第三节构造了一类正交基插值尺度函数(简称cosf ) ,并证明它们具有指数衰减性;第四节调查了一般情况下这类cosf的光滑性;第五节、第六节分别讨论了两种情况下这类cosf的光滑性和衰减性。
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Last modified time:Tue, 19 Aug 2025 00:29:56 GMT

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