TY - JOUR
T1 - Real-Valued Periodic Wavelets: Construction and Relation with Fourier Series
AU - Chen , Han-Lin
AU - Liang , Xue-Zhang
AU - Peng , Si-Long
AU - Xiao , Shao-Liang
JO - Journal of Computational Mathematics
VL - 5
SP - 509
EP - 522
PY - 1999
DA - 1999/10
SN - 17
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/9121.html
KW - Periodic wavelet, Multiresolution, Fourier series, Linear independence.
AB - <p style="text-align: justify;">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.</p>