Fast Hankel transform by fast sine and cosine transforms: the Mellin connection

DOI10.1109/78.845927zbMath0996.65143OpenAlexW2106134378WikidataQ56504605 ScholiaQ56504605MaRDI QIDQ2734340

Luc Knockaert

Publication date: 4 November 2002

Published in: IEEE Transactions on Signal Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1109/78.845927

zbMATH Keywords

algorithmMellin transformHankel transformexponential samplinginversion transformsine and cosine transform

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Numerical methods for integral transforms (65R10)

Related Items

Reducing dimensionality to model 2D rotating and standing waves in a delayed nonlinear optical system with thin annulus aperture ⋮ A wavelet algorithm for Fourier-Bessel transform arising in optics ⋮ An application of wavelet technique in numerical evaluation of Hankel transforms ⋮ A stable Hankel transforms algorithm based on Haar wavelet decomposition for noisy data ⋮ A stable algorithm for Hankel transforms using hybrid of Block-pulse and Legendre polynomials ⋮ Fractionalization of a discrete Hankel transform based on an involutory symmetric kernel matrix ⋮ Interpolative Butterfly Factorization ⋮ Efficient algorithms to compute Hankel transforms using wavelets ⋮ Application of Wavelets in Numerical Evaluation of Hankel Transform Arising in Seismology ⋮ Sine-cosine wavelets approach in numerical evaluation of Hankel transform for seismology ⋮ An improved method for computing Hankel transform ⋮ Fast Hankel transforms algorithm based on kernel function interpolation with exponential functions