Deconvolution, differentiation and Fourier transformation algorithms for noise-containing data based on splines and global approximation

Herbert Wormeester, A.G.B.M. Sasse, Arend van Silfhout

Research output: Contribution to journalArticleAcademic

8 Citations (Scopus)
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Abstract

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. This objective is achieved by implementing spline based functions in mathematical operations to obtain global approximation properties in our routines. The convenient behaviour and the pleasant mathematical character of splines makes it possible to perform these mathematical operations on large data input in a limited computing time on a small computer system. Comparison is made with widely used routines.
Original languageUndefined
Pages (from-to)19-27
JournalComputer physics communications
Volume52
Issue number1
DOIs
Publication statusPublished - 1988

Keywords

  • IR-70273

Cite this

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title = "Deconvolution, differentiation and Fourier transformation algorithms for noise-containing data based on splines and global approximation",
abstract = "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. This objective is achieved by implementing spline based functions in mathematical operations to obtain global approximation properties in our routines. The convenient behaviour and the pleasant mathematical character of splines makes it possible to perform these mathematical operations on large data input in a limited computing time on a small computer system. Comparison is made with widely used routines.",
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author = "Herbert Wormeester and A.G.B.M. Sasse and {van Silfhout}, Arend",
year = "1988",
doi = "10.1016/0010-4655(88)90167-1",
language = "Undefined",
volume = "52",
pages = "19--27",
journal = "Computer physics communications",
issn = "0010-4655",
publisher = "Elsevier",
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Deconvolution, differentiation and Fourier transformation algorithms for noise-containing data based on splines and global approximation. / Wormeester, Herbert; Sasse, A.G.B.M.; van Silfhout, Arend.

In: Computer physics communications, Vol. 52, No. 1, 1988, p. 19-27.

Research output: Contribution to journalArticleAcademic

TY - JOUR

T1 - Deconvolution, differentiation and Fourier transformation algorithms for noise-containing data based on splines and global approximation

AU - Wormeester, Herbert

AU - Sasse, A.G.B.M.

AU - van Silfhout, Arend

PY - 1988

Y1 - 1988

N2 - 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. This objective is achieved by implementing spline based functions in mathematical operations to obtain global approximation properties in our routines. The convenient behaviour and the pleasant mathematical character of splines makes it possible to perform these mathematical operations on large data input in a limited computing time on a small computer system. Comparison is made with widely used routines.

AB - 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. This objective is achieved by implementing spline based functions in mathematical operations to obtain global approximation properties in our routines. The convenient behaviour and the pleasant mathematical character of splines makes it possible to perform these mathematical operations on large data input in a limited computing time on a small computer system. Comparison is made with widely used routines.

KW - IR-70273

U2 - 10.1016/0010-4655(88)90167-1

DO - 10.1016/0010-4655(88)90167-1

M3 - Article

VL - 52

SP - 19

EP - 27

JO - Computer physics communications

JF - Computer physics communications

SN - 0010-4655

IS - 1

ER -