| 正交特征群 |
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| 引用本文： | 刘树启,孙鹏勇.正交特征群[J].信号处理,2002,18(2):169-171. |
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| 作者姓名： | 刘树启 孙鹏勇 |
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| 作者单位： | 辽宁工程技术大学电子与信息工程系,123000 |
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| 摘 要： | 本文在证明了有限Ａｂｅ１群Ｇ与它的特征群Ｇ√存在同构的一个必要充分条件之后，构造了一类正交特征群，从而概括了相当一大类正交变换（它包括了离散付里叶变换、阿达玛变换、数论变换、Ｃｈｒｅｓｔｅｎｓｏｎ变换）这对构成有限域与整环上的正交变换具有指导作用。
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| 关 键 词： | 正交变换 特征群 本原根 |
| 修稿时间： | 2001年11月2日 |
Orthogonal Character Group |
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| Liu Shuqi,Sun Pengyong.Orthogonal Character Group[J].Signal Processing,2002,18(2):169-171. |
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| Authors: | Liu Shuqi Sun Pengyong |
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| Institution: | Department of Electrical and Information Engineering Liaoning Technical University Fuxin China |
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| Abstract: | In this paper a necessary and sufficient condition of existence for isomorphism between finite Abel group G and its character group Gv is proved, after that a kind of orthogonal character group is constructed, thereby it generalizes a great number of orthogonal transform (including discrete Fourier Transform, Hadamard Transform, Number Theoretic Transform, Chrestenson Transform) and possesses guidance function for research orthogonal transform in finite field or integral domain. |
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| Keywords: | Oorthogonal transform Character group Primitive root |
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