摘要
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。
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.
出处
《数学杂志》
CSCD
北大核心
2005年第3期249-258,共10页
Journal of Mathematics
关键词
矩阵方程
符号
小波
矩阵扩充
Matrix equation
symbol
wavelet
matrix extension
