Skip navigation
Skip navigation

Using wavelet methods to solve noisy Abel-type equations with discontinuous inputs

Hall, Peter; Paige, Robert; Ruymgaart, Frits


One way of estimating a function from indirect, noisy measurements is to regularise an inverse of its Fourier transformation, using properties of the adjoint of the transform that degraded the function in the first place. It is known that when the function is smooth, this approach can perform well and produce estimators that have optimal convergence rates. When the function is unsmooth, in particular when it suffers jump discontinuities, an analogue of this approach is to invert the wavelet...[Show more]

CollectionsANU Research Publications
Date published: 2003
Type: Journal article
Source: Journal of Multivariate Analysis
DOI: 10.1016/S0047-259X(02)00043-X


There are no files associated with this item.

Items in Open Research are protected by copyright, with all rights reserved, unless otherwise indicated.

Updated:  19 May 2020/ Responsible Officer:  University Librarian/ Page Contact:  Library Systems & Web Coordinator