Real-valued periodic wavelets: Construction and relation with Fourier series

	Real-valued periodic wavelets: Construction and relation with Fourier series
	Chen, HL; Liang, XZ; Peng, SL,
发表期刊	Journal of Computational Mathematics
	1999
卷号	17(5)期号:5 页码:509-522 (SCI)
摘要	In 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.
关键词	Periodic / wavelet / multiresolution / fourier / series / linear / independence
文献类型	期刊论文
条目标识符	http://ir.ia.ac.cn/handle/173211/12911
专题	智能制造技术与系统研究中心_多维数据分析（彭思龙）-技术团队
通讯作者	Chen, HL
推荐引用方式 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).