矩陣直積的推廣及其在構(gòu)造正交變換中的應(yīng)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)推廣了矩陣直積,給出了矩陣第二類直積和第三類直積運算,并將此運算應(yīng)用于正交變換的構(gòu)造。本文進(jìn)一步推廣了王中德(1989)的結(jié)果,提出了一種矩陣分塊直積運算,并以此來構(gòu)造正交變換。
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關(guān)鍵詞:
- 數(shù)字信號處理; 矩陣直積; 正交變換
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. -
吳哲輝,蔣昌俊,計算數(shù)學(xué),13(1991)1, 84-88.[2]Wang Zhongde, J. of Mathematical Research and Exposition, 9(1989)3, 413-422.[3]王中德,電子學(xué)報,1988年,第3期,第102-104頁.[4]蔣昌俊,微電子學(xué)與計算機(jī),1990年,第8期,第4-7頁.[5]寇衛(wèi)東,胡征,電子學(xué)報,1986年,第3期,第95-101頁. -
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