Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article Application of the HLSVD Technique to the Filtering of X-Ray Diffraction Dat | Hindawi Publishing Corporation EURASIP Journal on Advances in Signal Processing Volume 2007 Article ID 39575 8 pages doi 2007 39575 Research Article Application of the HLSVD Technique to the Filtering of X-Ray Diffraction Data M. Ladisa 1 A. Lamura 2 T. Laudadio 3 and G. Nico2 1Istituto di Cristallografia IC Consiglio Nazionale delle Ricerche CNR Via Amendola 122 O 70126 Bari Italy 2Istituto Applicazioni del Calcolo Mauro Picone IAC Consiglio Nazionale delle Ricerche CNR Via Amendola 122 D 70126 Bari Italy 3 SISTA SCD Division Department of Electrical Engineering ESAT Katholieke Universiteit Leuven KasteelparkArenberg 10 3001 Leuven-Heverlee Belgium Received 6 February 2006 Revised 21 December 2006 Accepted 2 February 2007 Recommended by Jacques G. Verly 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 effciently the useful crystallographic information. These characteristics make the filter an interesting and user-friendly tool for processing of XRD data. Copyright 2007 M. Ladisa et al. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use distribution and reproduction in any medium provided the original work is properly cited. 1. INTRODUCTION In many applications of X-ray diffraction XRD techniques to the study of crystal properties a key step in the data processing chain is an effective and adaptive noise filtering 14 . A correct noise removal can facilitate the separation of the useful crystallographic information from the background signal and the estimation of crystal structure and domain size. Important issues of XRD data filtering are performances in noise .
