A stable Hankel transforms algorithm based on Haar wavelet decomposition for noisy data

DOI10.1155/2015/191086zbMath1395.94079OpenAlexW1582241551WikidataQ59117541 ScholiaQ59117541MaRDI QIDQ1664928

Huaiqing Zhang, Chuanbao Zhu, Xiangfeng Su, Xin Nie

Publication date: 27 August 2018

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2015/191086

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Application of orthogonal and other special functions (94A11)

Cites Work

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• A stable algorithm for Hankel transforms using hybrid of Block-pulse and Legendre polynomials
• Efficient algorithms to compute Hankel transforms using wavelets
• Numerical evaluation of the Hankel transform by using linear Legendre multi-wavelets
• Numerical solution of nonlinear Fredholm integral equations of the second kind using Haar wavelets
• An improved method for computing Hankel transform
• Numerical evaluation of the zero-order Hankel transform using Filon quadrature philosophy
• About calculation of the Hankel transform using preliminary wavelet transform
• Fast Hankel transform by fast sine and cosine transforms: the Mellin connection
• A theory for multiresolution signal decomposition: the wavelet representation
• Computation of the Hankel transform using projections

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