矩阵直积的推广及其在构造正交变换中的应用
GENERALIZATION OF MATRIX DIRECT PRODUCT AND ITS APPLICATION TO THE CONSTRUCTION OF ORTHOGONAL TRANSFORMS
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摘要: 王中德(1989)推广了矩阵直积,给出了矩阵第二类直积和第三类直积运算,并将此运算应用于正交变换的构造。本文进一步推广了王中德(1989)的结果,提出了一种矩阵分块直积运算,并以此来构造正交变换。
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关键词:
- 数字信号处理; 矩阵直积; 正交变换
Abstract: The matrix direct product is generalized and two kinds of direct products are given by Wang Zhongde (1989). These two kinds of direct products are applied to the construction of orthogonal transforms. In this paper, Wang Zhongde s work is generalized further, and a kind of direct product of matrix block is given. It is also used to construct the orthogonal transforms. -
吴哲辉,蒋昌俊,计算数学,13(1991)1, 84-88.[2]Wang Zhongde, J. of Mathematical Research and Exposition, 9(1989)3, 413-422.[3]王中德,电子学报,1988年,第3期,第102-104页.[4]蒋昌俊,微电子学与计算机,1990年,第8期,第4-7页.[5]寇卫东,胡征,电子学报,1986年,第3期,第95-101页. -
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