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

Pekka Hiismäki; Olli Antson

doi:10.1016/0167-5087(84)90346-6

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

Pekka Hiismäki, Olli Antson

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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 language	English
Pages (from-to)	356-368
Journal	Nuclear Instruments and Methods In Physics Research
Volume	219
Issue number	2
DOIs	https://doi.org/10.1016/0167-5087(84)90346-6
Publication status	Published - 1984
MoE publication type	A1 Journal article-refereed

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10.1016/0167-5087(84)90346-6

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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",

language = "English",

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pages = "356--368",

journal = "Nuclear Instruments and Methods In Physics Research",

issn = "0167-5087",

publisher = "North-Holland Publ Co",

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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

SN - 0167-5087

VL - 219

SP - 356

EP - 368

JO - Nuclear Instruments and Methods In Physics Research

JF - Nuclear Instruments and Methods In Physics Research

IS - 2

ER -

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

Abstract

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