中国科学院大学学报 ›› 2009, Vol. 26 ›› Issue (1): 37-42.DOI: 10.7523/j.issn.2095-6134.2009.1.006
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非线性相位函数的Hilbert变换的注记
李玉兰，燕敦验
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Li Yu-Lan, Yan Dun-Yan
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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。
关键词: 非线性单位解析信号, Mobius变换, Hilbert变换, 勾股定理条件
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.
Key words: non-linear unit analytic signal, Mobius transform, Hilbert transform, condition of Pythagorean theorem
李玉兰，燕敦验.
Li Yu-Lan, Yan Dun-Yan. A remark on the Hilbert transform of non-linear-phase functions[J]. , 2009, 26(1): 37-42.
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链接本文: http://journal.ucas.ac.cn/CN/10.7523/j.issn.2095-6134.2009.1.006
http://journal.ucas.ac.cn/CN/Y2009/V26/I1/37
