| 宽带模糊函数的群论解释及小波变换求解 |
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| 引用本文： | 张静远,蒋兴舟. 宽带模糊函数的群论解释及小波变换求解[J]. 海军工程大学学报, 1997, 0(2) |
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| 作者姓名： | 张静远 蒋兴舟 |
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| 作者单位： | 海军工程学院海军兵器工程系(张静远)，海军工程学院海军兵器工程系(蒋兴舟) |
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| 基金项目： | 中国船舶工业总公司预研基金资助课题 |
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| 摘 要： | 讨论了各种形式的宽带模糊函数,通过群论分析表明,它们都可解释为二维不可约仿射群U表示的矩阵系数,因此其性质可通过对仿射群的研究作出解释。还讨论了宽带模糊函数与小波变换的关系,并由此导出其高效的小波变换求解方法。
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| 关 键 词： | 宽带模糊函数 小波变换 仿射群 相关处理 |
Group Representation for the Wideband Ambiguity Functions and Its Reformulation by Wavelet Transform |
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| Zhang Jingyuan Jiang Xingzhou. Group Representation for the Wideband Ambiguity Functions and Its Reformulation by Wavelet Transform[J]. Journal of Naval University of Engineering, 1997, 0(2) |
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| Authors: | Zhang Jingyuan Jiang Xingzhou |
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| Affiliation: | Zhang Jingyuan Jiang Xingzhou |
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| Abstract: | Various forms of the wideband ambiguity functions are discussed by group representation theory. It is showing that they can be interpreted as matrix coefficient of unitary irreducible representations of the two-dimensional affine group. Thus, their properties can be presented by the study of affine group theory. The relation to wavelet transform is demonstrated, and an efficient computational algorithm by the reformulation with wavelet transform is presented. |
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| Keywords: | Wideband ambiguity function Wavelet transform Affine group Correlation processing |
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