𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the spline-based method for experimental data deconvolution

✍ Scribed by L.L. Kosachevskaya; V.V. Romanovtsev; I.E. Shparlinskiy

Publisher
Elsevier Science
Year
1983
Tongue
English
Weight
174 KB
Volume
29
Category
Article
ISSN
0010-4655

No coin nor oath required. For personal study only.

✦ Synopsis

The spline-based method for solving the Fredholm integral equation of the first kind, earlier suggested by Beniaminy and Deutsch, is discussed. The inaccuracy of the solution is estimated. It is shown that this inaccuracy is of the order of e(h') where h is a small parameter reflecting the measure of 8-likeness of the kernel.

πŸ“œ SIMILAR VOLUMES

Deconvolution, differentiation and Fouri
Deconvolution, differentiation and Fourier transformation algorithms for noise-containing data based on splines and global approximation
✍ H. Wormeester; A.G.B.M. Sasse; A. Van Silfhout πŸ“‚ Article πŸ“… 1988 πŸ› Elsevier Science 🌐 English βš– 720 KB

One of the main problems in the analysis of measured spectra is how to reduce the influence of noise in data processing. We show a deconvolution, a differentiation and a Fourier Transform algorithm that can be run on a small computer (64 K RAM) and suffer less from noise than commonly used routines.