@Article{JCM-17-509, author = {Chen , Han-LinLiang , Xue-ZhangPeng , Si-Long and Xiao , Shao-Liang}, title = {Real-Valued Periodic Wavelets: Construction and Relation with Fourier Series}, journal = {Journal of Computational Mathematics}, year = {1999}, volume = {17}, number = {5}, pages = {509--522}, abstract = {

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 those 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.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9121.html} }