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对偶小波
相关语句
  dual wavelet
     Dual Wavelet of Admissible Wavelet in L~2(R~n)
     L~2(R~n)上允许小波的对偶小波
短句来源
     We will show that {ψ_(j,k):j,k∈Z} is a Riesz basis in the whole space L~2(R) and there is the only dual wavelet such that ψ and satisfy the biorthogonal condition.
     将证明{ψj,k∶j,k∈Z}是整个空间L2(R)的Riesz基并且存在唯一的对偶小波ψ使得ψ与ψ满足双正交条件。
短句来源
     If the waveletψ( x) conctructed through multiresolution analysis is a R-function, it exists necessarily only one dual waveletψ|~ so as toψandψ|~ satisfy the biorthogonal condition, and we obtain three methods for calculating the dual wavelet of the mother waveletψ( x) constructed through multiresolution analysis.
     如果由多分辨分析{V_j}构造的小波ψ( x)是一个R-函数,那么它必然存在唯一的对偶小波ψ|~,使得ψ与ψ|~满足双正交条件。 并进一步得出计算由多分辨分析产生的母小波ψ(x)的对偶小波的三种方法。
短句来源
     DUAL WAVELET OF ADMISSIBLE IN THE CONTINUOUS WAVELET TRANSFORM
     连续小波变换中允许小波的对偶小波
短句来源
     The dual wavelet of admissible wavelet in the continuous wavelet transform is explored and the equivalent conditions of dual wavelet and the representation of dual wavelet of admissible wavelet are given.
     研究了连续小波变换中允许小波的对偶小波 ,给出了对偶小波的等价条件以及允许小波的对偶小波的表示 .
短句来源
更多       
  dual wavelets
     USING LIFTING SCHEME TO CONSTRUCT STABLE DUAL WAVELETS
     利用提升格式构造稳定的对偶小波
短句来源
     Abstract In this paper, a formula for the Sobolev regularity index of scaling functions is given. It is proved that among the four-coefficient orthogonal filters the regularity of D4 wavelet is optimal. For the biorthogonal filters associated with B-spline functions, we increase the regularity of dual wavelets by using the lifting scheme.
     本文给出了确定尺度函数正则指数的一个公式,证明了正交的四系数滤波中Daubechies小波正则性最优,并结合B-样条对应的双正交滤波,应用提升格式,增加对偶小波的正则性.
短句来源
  “对偶小波”译为未确定词的双语例句
     Dual Scaling and Wavelet Function of Periodic Cardinal Interpolatory Wavelets
     周期基数插值对偶尺度函数和对偶小波
短句来源
     Wavelet decompose can made the energy of image get together to the low frequency, thus it can form more zero-trees and MSR as the measure of the efficiency of Zero-trees coding.
     小波分解形成了图像能量的聚集,这种聚集可以形成更多的零树,而MSR作为对对偶小波波形集中度的度量参数,同样也可以作为衡量零树编码效率的度量。
短句来源
     Based on two dimension scaling and wavelet function of Periodic Cardinal Interpolatory Wavelets, in this paper, dual scaling and wavelet function of periodic cardinal interpolatory wavelets are studied and some conclusion are obtained.
     在对二维周期基数插值小波的尺度函数和小波函数研究的基础上,对二维周期基数插值小波的对偶尺度函数和对偶小波进行了研究,得到了一系列重要的结论。
短句来源
     Increase of the regularity of interpolating scaling functionsefficiently improves the approximation power of systems, moreover, that of dualscaling functions markedly enhances the smoothness of duals and improves thefrequency characteristics of analysis filters in passband and stopband.
     内插尺度函数正则度的增加有效提高了系统的逼近能力,对偶正则度的提高显著增加了对偶尺度函数、对偶小波的光滑性,改善了分析滤波器组的通带、阻带特性。 冗余度在一定意义下制约了小波系统的压缩性能。
短句来源
     In this paper, by using the biorthogonal quadrature niters, the biorthogonal mul-tiresolution of finite dimension space equipped with inner product and the fast discrete wavelet transform (FDWT) are constructed. The dual transform method is proposed and the radar data storage is reduced by it. The method of choosing the wavelet coefficients, and the methods of correlation and nearest neighbor classification in wavelet domain based on the compressed data, are presented.
     本文由双正交共轭滤波器构造有限维内积空间的双正交多分辨分析和快速离散小波变换(FDWT),提出信号的对偶小波变换方法,并将其用于降低雷达数据存储量,提出双正交变换系数筛选方法以及基于压缩数据的小波域相关和最小距离分类方法。
短句来源
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  dual wavelet
In this article, we construct compactly supported multivariate pairs of dual wavelet frames, shortly called bi-frames, for an arbitrary dilation matrix.
      
The coefficients in the expansion are the inner products of the function and the corresponding element of a "dual wavelet system." The "dual wavelets system" is also a polynomial system with the same growth of degrees of polynomials.
      
With the help of band-limited dual wavelet frames, this topic is first researched.
      
This paper generalizes the work in [5,12,13] on constructing dual wavelet frames from scalar refinable functions to the multiwavelet case.
      
Han, Pairs of dual wavelet frames from any two refinable functions, Constr.
      
更多          
  dual wavelets
In the examples, we obtain optimal bi-frames, i.e., primal and dual wavelets are constructed from a single fundamental refinable function, whose mask size is minimal w.r.t.
      
For special dilation matrices, we derive very simple but optimal arbitrarily smooth bi-frames in arbitrary dimensions with only two primal and dual wavelets.
      
The coefficients in the expansion are the inner products of the function and the corresponding element of a "dual wavelet system." The "dual wavelets system" is also a polynomial system with the same growth of degrees of polynomials.
      
In particular the moments of the dual wavelets vanish up to order n.
      
Secondly, the function reconstructed with dual wavelets would be of low regularity.
      
更多          


In this paper, by using the biorthogonal quadrature niters, the biorthogonal mul-tiresolution of finite dimension space equipped with inner product and the fast discrete wavelet transform (FDWT) are constructed. The dual transform method is proposed and the radar data storage is reduced by it. The method of choosing the wavelet coefficients, and the methods of correlation and nearest neighbor classification in wavelet domain based on the compressed data, are presented. The experimental results of the classification,...

In this paper, by using the biorthogonal quadrature niters, the biorthogonal mul-tiresolution of finite dimension space equipped with inner product and the fast discrete wavelet transform (FDWT) are constructed. The dual transform method is proposed and the radar data storage is reduced by it. The method of choosing the wavelet coefficients, and the methods of correlation and nearest neighbor classification in wavelet domain based on the compressed data, are presented. The experimental results of the classification, using the high resolution range returns from six kinds of aircraft, show that the methods of transform, compression and recognition are efficient.

本文由双正交共轭滤波器构造有限维内积空间的双正交多分辨分析和快速离散小波变换(FDWT),提出信号的对偶小波变换方法,并将其用于降低雷达数据存储量,提出双正交变换系数筛选方法以及基于压缩数据的小波域相关和最小距离分类方法。通过六种飞机目标的距离高分辨数据的分类实验,证明本文提出的变换、压缩和识别方法是有效的。

Based on two dimension scaling and wavelet function of Periodic Cardinal Interpolatory Wavelets, in this paper, dual scaling and wavelet function of periodic cardinal interpolatory wavelets are studied and some conclusion are obtained.

在对二维周期基数插值小波的尺度函数和小波函数研究的基础上,对二维周期基数插值小波的对偶尺度函数和对偶小波进行了研究,得到了一系列重要的结论。

In this paper, a multi-knots periodic spline space with three order is studied, and multi-knots semi-orthogonal spline bases of compactly supported wavelets with point vanishing moments properties can be constucted, and its dual bases also can be obtained. Then the fast scheme of function P mf is given. Finally, the property of sigularity detecting is obtained.

对周期型多重二次样条函数空间,给出了具有点消失矩性质的紧支集半正交小波基及对偶小波基,得到了相应的快速正交投影算法,最后给出了奇性检测性质.

 
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