@Article{JCM-17-5, author = {Han-Lin, Chen and Xue-Zhang, Liang and Si-Long, Peng 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/1999-JCM-9121}, url = {https://global-sci.com/article/85647/real-valued-periodic-wavelets-construction-and-relation-with-fourier-series} }