| 矩阵细分函数的正交性与稳定性 |
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| 引用本文： | 尤新革.矩阵细分函数的正交性与稳定性[J].湖北大学学报(自然科学版),2000,22(2):109-112. |
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| 作者姓名： | 尤新革 |
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| 作者单位： | 湖北大学数学与计算机科学学院!湖北武汉，430062 |
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| 摘 要： | 用Ｋｒｏｎｅｃｋｅｒ积方法给出与细分矩阵相关的转移算子Ｔ的对应矩阵，用此矩阵刻划多元尺度向量函数的稳定怀，正交性与双正交性，并给出其相应的充分必要条件。
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| 关 键 词： | 矩阵细分函数 稳定性 正交性 转移算子 小波 |
| 修稿时间： | 1999-10-25 |
Stability and orthonormality of matrix refineable function |
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| You Xin''''ge.Stability and orthonormality of matrix refineable function[J].Journal of Hubei University(Natural Science Edition),2000,22(2):109-112. |
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| Authors: | You Xin'ge |
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| Abstract: | By taking use of Kronecker products, the matrix M of the transition operator associated with the refineable matrix mask is given. Some necessary and sufficient conditions for the stability and orthonormality of matrix refineable function are provided in terms of the matrix M of the transition operator. |
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| Keywords: | matrix refineable function Kronecker products stability orthonormality transition operator |
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