Estimation of peak intensities from frequency filtered total scattering data of neutrons obtained by the reverse Fourier method

Pekka Hiismäki, Olli Antson

Research output: Contribution to journalArticleScientificpeer-review

3 Citations (Scopus)

Abstract

A formalism for obtaining the minimum variance estimates and covariaces of the diffraction peak intensities from the total scattering data synthetized with continuous frequency filters by the reverse Fourier method is presented. It is shown that with a properly chosen bandpass filter several advantages are obtained over the low-pass filters exclusively applied up to now. These are: elimination of the background contributions, improvement in the resolving power almost by factor 3, reduced sensitivity to possible non-idealities of the frequency filter and the possibility of eliminating the higher harmonic contributions.

Original languageEnglish
Pages (from-to)356 - 368
Number of pages13
JournalNuclear Instruments and Methods In Physics Research
Volume219
Issue number2
DOIs
Publication statusPublished - 1984
MoE publication typeNot Eligible

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Low pass filters
Optical resolving power
Bandpass filters
Neutrons
Diffraction
Scattering

Cite this

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title = "Estimation of peak intensities from frequency filtered total scattering data of neutrons obtained by the reverse Fourier method",
abstract = "A formalism for obtaining the minimum variance estimates and covariaces of the diffraction peak intensities from the total scattering data synthetized with continuous frequency filters by the reverse Fourier method is presented. It is shown that with a properly chosen bandpass filter several advantages are obtained over the low-pass filters exclusively applied up to now. These are: elimination of the background contributions, improvement in the resolving power almost by factor 3, reduced sensitivity to possible non-idealities of the frequency filter and the possibility of eliminating the higher harmonic contributions.",
author = "Pekka Hiism{\"a}ki and Olli Antson",
year = "1984",
doi = "10.1016/0167-5087(84)90346-6",
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journal = "Nuclear Instruments and Methods In Physics Research",
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Estimation of peak intensities from frequency filtered total scattering data of neutrons obtained by the reverse Fourier method. / Hiismäki, Pekka; Antson, Olli.

In: Nuclear Instruments and Methods In Physics Research, Vol. 219, No. 2, 1984, p. 356 - 368.

Research output: Contribution to journalArticleScientificpeer-review

TY - JOUR

T1 - Estimation of peak intensities from frequency filtered total scattering data of neutrons obtained by the reverse Fourier method

AU - Hiismäki, Pekka

AU - Antson, Olli

PY - 1984

Y1 - 1984

N2 - A formalism for obtaining the minimum variance estimates and covariaces of the diffraction peak intensities from the total scattering data synthetized with continuous frequency filters by the reverse Fourier method is presented. It is shown that with a properly chosen bandpass filter several advantages are obtained over the low-pass filters exclusively applied up to now. These are: elimination of the background contributions, improvement in the resolving power almost by factor 3, reduced sensitivity to possible non-idealities of the frequency filter and the possibility of eliminating the higher harmonic contributions.

AB - A formalism for obtaining the minimum variance estimates and covariaces of the diffraction peak intensities from the total scattering data synthetized with continuous frequency filters by the reverse Fourier method is presented. It is shown that with a properly chosen bandpass filter several advantages are obtained over the low-pass filters exclusively applied up to now. These are: elimination of the background contributions, improvement in the resolving power almost by factor 3, reduced sensitivity to possible non-idealities of the frequency filter and the possibility of eliminating the higher harmonic contributions.

U2 - 10.1016/0167-5087(84)90346-6

DO - 10.1016/0167-5087(84)90346-6

M3 - Article

VL - 219

SP - 356

EP - 368

JO - Nuclear Instruments and Methods In Physics Research

JF - Nuclear Instruments and Methods In Physics Research

SN - 0167-5087

IS - 2

ER -