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	Orthonormal bases with nonlinear phases
	Qian, Tao2; Wang, Rui3; Xu, Yuesheng1; Zhang, Haizhang1
刊名	Advances in computational mathematics
	2010-07-01
卷号	33期号:1页码:75-95
关键词	The hilbert transform The empirical mode decomposition Time-frequency analysis Orthonormal bases Hardy spaces
ISSN号	1019-7168
DOI	10.1007/s10444-009-9120-0
通讯作者	Xu, yuesheng(yxu06@syr.edu)
英文摘要	For adaptive representation of nonlinear signals, the bank m of real square integrable functions that have nonlinear phases and nonnegative instantaneous frequencies under the analytic signal method is investigated. a particular class of functions with explicit expressions in m is obtained using recent results on the bedrosian identity. we then construct orthonormal bases for the hilbert space of real square integrable functions with the basis functions from m.
WOS关键词	EMPIRICAL MODE DECOMPOSITION ; HILBERT SPECTRUM ; SIGNALS
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
语种	英语
出版者	SPRINGER
WOS记录号	WOS:000277592700004
内容类型	期刊论文
URI标识	http://www.corc.org.cn/handle/1471x/2413509
专题	中国科学院大学
通讯作者	Xu, Yuesheng
作者单位	1.Syracuse Univ, Dept Math, Syracuse, NY 13244 USA 2.Univ Macau, Dept Math, Fac Sci & Technol, Macao, Peoples R China 3.Chinese Acad Sci, Grad Univ, Sch Informat Sci & Engn, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Qian, Tao,Wang, Rui,Xu, Yuesheng,et al. Orthonormal bases with nonlinear phases[J]. Advances in computational mathematics,2010,33(1):75-95.
APA	Qian, Tao,Wang, Rui,Xu, Yuesheng,&Zhang, Haizhang.(2010).Orthonormal bases with nonlinear phases.Advances in computational mathematics,33(1),75-95.
MLA	Qian, Tao,et al."Orthonormal bases with nonlinear phases".Advances in computational mathematics 33.1(2010):75-95.

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