This paper gives a new algorithm for jointly approximate diagonalization of a set of eigen matrices on the basis of the biorthogonality between left and right eigen vectors. 发展了一组特征矩阵联合对角化的新算法,这个算法利用了左右特征矢量之间的双正交性。
Biorthogonality of multidimensional periodic scaling function with arbitrary dilation matrix 具有一般伸缩矩阵高维周期尺度函数的双正交性
The 9/ 7 wavelet is one of popular wavelets. Its corresponding 9/ 7 filter has many advantages as: biorthogonality, linear phase, short length, simple realization and wide using realms. So it is advocated by many authors. 9/7小波是目前研究较多的小波之一,对应的9/7滤波器因其具有双正交性、线性相位、长度较短、实现简单和适用范围广而被很多学者所重视。
A necessary and sufficient condition for biorthogonality of scaling functions with dilation factor 3 伸缩因子为3的尺度函数双正交的一个充要条件
The characterizations of biorthogonality of scaling functions with an arbitrary dilation matrix 具有矩阵伸缩的尺度函数双正交特征
The concept of univariate biorthogonal wavelet packet was generalized. The definition of bivariate biorthogonal wavelet packet was given and a procedure of its construction was proposed. The biorthogonality for the bivariate biorthogonal wavelet packets was investigated. 推广了一元双正交小波包的概念,给出了二元不可分双正交小波包的定义及其构造方法,讨论了二元不可分双正交小波包的双正交性。
Besides, the biorthogonality of biorthogonal vector-valued wavelets packets was also discussed. 除此之外,本文还讨论了二维向量值双正交小波包的性质。
In the complete space of eigensolutions, a new symplectic adjoint relationship of biorthogonality is presented among the eigensolutions. Thus, complete and perfect system for solving solutions is founded. 在完备的本征解空间提出一种新的辛共轭双正交关系,从而完成和完善了求解体系。
The statistical average of the Langevin noise that describes the spontaneous radiation noise coupling into a given mode is determined by the Biorthogonality of the transverses modes ( K factor) and their eigenvalues. 说明描述耦合到任意给定模式自发辐射噪声(朗之万噪声)项的统计平均可以用横模的双正交性(即过量噪声K因子)与特征值特性来描述。