Abstract
In this paper, we consider that a Gibbs phenomenon exists for the biorthogonal wavelets expansions of a discontinuous function. Firstly, we study properties of the biorthogonal wavelets kernel. Based on these properties of the kernel, we discuss existence of this phenomenon for the biorthogonal wavelets expansions of a discontinuous function. Also, we present the necessary condition of this phenomenon existence for the biorthogonal wavelets expansions of a discontinuous function.
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Acknowledgments
This work is supported by Natural Science Basic Research Plan in Shaanxi Province of China (Program No, 2016, JM6065)
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Zhou, J., Zheng, H. (2018). Gibbs Phenomenon for Bi-orthogonal Wavelets. In: Xhafa, F., Patnaik, S., Zomaya, A. (eds) Advances in Intelligent Systems and Interactive Applications. IISA 2017. Advances in Intelligent Systems and Computing, vol 686. Springer, Cham. https://doi.org/10.1007/978-3-319-69096-4_12
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DOI: https://doi.org/10.1007/978-3-319-69096-4_12
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