Application of the HLSVD technique to the filtering of X-ray diffraction data

Details Application of the HLSVD technique to the filtering of X-ray diffraction data Application of the HLSVD technique to the filtering of X-ray diffraction data

2005-02-25

arxiv.org/abs/math/0502539v1

Mathematics

Spectral Theory

10 pages, 3 tables, 6 figures

Scientific paper

A filter based on the Hankel Lanczos Singular Value Decomposition (HLSVD) technique is presented and applied for the first time to X-ray diffraction (XRD) data. Synthetic and real powder XRD intensity profiles of nanocrystals are used to study the filter performances with different noise levels. Results show the robustness of the HLSVD filter and its capability to extract easily and efficiently the useful crystallographic information. These characteristics make the filter an interesting and user-friendly tool for processing XRD data.

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