| 非线性相位函数的Hilbert变换的注记 |
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| 引用本文： | 李玉兰,燕敦验. 非线性相位函数的Hilbert变换的注记[J]. 中国科学院研究生院学报, 2009, 26(1): 37-42 |
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| 作者姓名： | 李玉兰 燕敦验 |
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| 作者单位： | 中国科学院研究生院,北京,100190 |
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| 摘 要： | 研究了一类非线性相位的单位解析信号，采用实方法给出了这类信号的一般刻画。最后，将这种情形归结为Mobius变换的一个特例。
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| 关 键 词： | 非线性单位解析信号 Mobius变换 Hilbert变换 勾股定理条件 |
A remark on the Hilbert transform of non-linear-phase functions |
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| LI Yu-Lan,YAN Dun-Yan. A remark on the Hilbert transform of non-linear-phase functions[J]. Journal of the Graduate School of the Chinese Academy of Sciences, 2009, 26(1): 37-42 |
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| Authors: | LI Yu-Lan YAN Dun-Yan |
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| Abstract: | In this paper we present a class of non-linear unit analytic signals. By using real-variable methods, we also give the general characterization of such a kind of signals. Moreover, we prove that this class of fuctions is just a special case Mobius transform. |
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| Keywords: | non-linear unit analytic signal Mobius transform Hilbert transform condition of Pythagorean theorem |
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