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Real-valued periodic wavelets: Construction and relation with Fourier series
Chen, HL; Liang, XZ; Peng, SL,
Source PublicationJournal of Computational Mathematics
1999
Volume17(5)Issue:5Pages:509-522 (SCI)
AbstractIn this paper, we construct the real-valued periodic orthogonal wavelets. The method presented here is new. The decomposition and reconstruction formulas involve only 4 terms respectively. It demonstrates that the formulas are simpler than that in other kinds of periodic wavelets. Our wavelets are useful in applications since it is real valued. The relation between the periodic wavelets and the Fourier series is also discussed.
KeywordPeriodic / wavelet / multiresolution / fourier / series / linear / independence
Document Type期刊论文
Identifierhttp://ir.ia.ac.cn/handle/173211/12911
Collection智能制造技术与系统研究中心_多维数据分析
Corresponding AuthorChen, HL
Recommended Citation
GB/T 7714
Chen, HL,Liang, XZ,Peng, SL,. Real-valued periodic wavelets: Construction and relation with Fourier series[J]. Journal of Computational Mathematics,1999,17(5)(5):509-522 (SCI).
APA Chen, HL,Liang, XZ,&Peng, SL,.(1999).Real-valued periodic wavelets: Construction and relation with Fourier series.Journal of Computational Mathematics,17(5)(5),509-522 (SCI).
MLA Chen, HL,et al."Real-valued periodic wavelets: Construction and relation with Fourier series".Journal of Computational Mathematics 17(5).5(1999):509-522 (SCI).
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