数学杂志
數學雜誌
수학잡지
JOURNAL OF MATHEMATICS
2005年
3期
249-258
,共10页
矩阵方程%符号%小波%矩阵扩充
矩陣方程%符號%小波%矩陣擴充
구진방정%부호%소파%구진확충
Matrix equation%symbol%wavelet%matrix extension
本文研究了一类与多通道正交小波滤波器相关的矩阵方程.运用多相位分解的方法,获得了这类矩阵方程的通解.借助于该结果,可以从一组多通道正交小波能够产生许多组多通道正交小波.
本文研究瞭一類與多通道正交小波濾波器相關的矩陣方程.運用多相位分解的方法,穫得瞭這類矩陣方程的通解.藉助于該結果,可以從一組多通道正交小波能夠產生許多組多通道正交小波.
본문연구료일류여다통도정교소파려파기상관적구진방정.운용다상위분해적방법,획득료저류구진방정적통해.차조우해결과,가이종일조다통도정교소파능구산생허다조다통도정교소파.
In this paper, we study a certain class of the matrix equations associated with multiple channel orthonormal wavelet filters. By polyphase factorization, we obtain the general solutions of this class of matrix equations, by which we can produce a great number of groups of multiple channel orthonormal wavelets from one group of multiple channel orthonormal wavelets.