Fourier analysis of multicomponent chromatograms. Theory and models

A. Felinger, Luisa Pasti, Francesco Dondi

Research output: Contribution to journalArticle

76 Citations (Scopus)

Abstract

On the basis of only the assumptions of the independence between peak heights and peak position and of stationary retention time distribution and under the hypothesis of constant peak shape, Fourier analysis is applied to analyze the structure of multicomponent chromatograms. In essence analysis is made of the properties of the chromatographic response covariance as a function of time distance and of its Fourier transform which is the power spectrum (PS). A general theoretical expression for the PS of the chromatogram is derived as a function of relative peak height dispersion, peak position distribution, and peak shape properties. The PS of the total chromatogram has the property of being proportional to the PS of a single-component peak. Detailed expressions for the PS and of the autocovariance function of chromatograms having different retention time distributions are presented and discussed. The PS of multicomponent chromatograms having Poissonian retention time distribution is found to be congruent to the PS of the single-component peak. A new way to obtain the statistical attributes of multicomponent chromatograms (i.e. retention time distribution type, number of components in the chromatogram and peak shape properties) is thus emphasized.

Original languageEnglish
Pages (from-to)1846-1853
Number of pages8
JournalAnalytical Chemistry
Volume62
Issue number17
Publication statusPublished - Sep 1 1990

Fingerprint

Fourier analysis
Power spectrum
Fourier transforms

ASJC Scopus subject areas

  • Analytical Chemistry

Cite this

Fourier analysis of multicomponent chromatograms. Theory and models. / Felinger, A.; Pasti, Luisa; Dondi, Francesco.

In: Analytical Chemistry, Vol. 62, No. 17, 01.09.1990, p. 1846-1853.

Research output: Contribution to journalArticle

Felinger, A. ; Pasti, Luisa ; Dondi, Francesco. / Fourier analysis of multicomponent chromatograms. Theory and models. In: Analytical Chemistry. 1990 ; Vol. 62, No. 17. pp. 1846-1853.
@article{00afa6df979e4881bc237fcd36f5610b,
title = "Fourier analysis of multicomponent chromatograms. Theory and models",
abstract = "On the basis of only the assumptions of the independence between peak heights and peak position and of stationary retention time distribution and under the hypothesis of constant peak shape, Fourier analysis is applied to analyze the structure of multicomponent chromatograms. In essence analysis is made of the properties of the chromatographic response covariance as a function of time distance and of its Fourier transform which is the power spectrum (PS). A general theoretical expression for the PS of the chromatogram is derived as a function of relative peak height dispersion, peak position distribution, and peak shape properties. The PS of the total chromatogram has the property of being proportional to the PS of a single-component peak. Detailed expressions for the PS and of the autocovariance function of chromatograms having different retention time distributions are presented and discussed. The PS of multicomponent chromatograms having Poissonian retention time distribution is found to be congruent to the PS of the single-component peak. A new way to obtain the statistical attributes of multicomponent chromatograms (i.e. retention time distribution type, number of components in the chromatogram and peak shape properties) is thus emphasized.",
author = "A. Felinger and Luisa Pasti and Francesco Dondi",
year = "1990",
month = "9",
day = "1",
language = "English",
volume = "62",
pages = "1846--1853",
journal = "Analytical Chemistry",
issn = "0003-2700",
publisher = "American Chemical Society",
number = "17",

}

TY - JOUR

T1 - Fourier analysis of multicomponent chromatograms. Theory and models

AU - Felinger, A.

AU - Pasti, Luisa

AU - Dondi, Francesco

PY - 1990/9/1

Y1 - 1990/9/1

N2 - On the basis of only the assumptions of the independence between peak heights and peak position and of stationary retention time distribution and under the hypothesis of constant peak shape, Fourier analysis is applied to analyze the structure of multicomponent chromatograms. In essence analysis is made of the properties of the chromatographic response covariance as a function of time distance and of its Fourier transform which is the power spectrum (PS). A general theoretical expression for the PS of the chromatogram is derived as a function of relative peak height dispersion, peak position distribution, and peak shape properties. The PS of the total chromatogram has the property of being proportional to the PS of a single-component peak. Detailed expressions for the PS and of the autocovariance function of chromatograms having different retention time distributions are presented and discussed. The PS of multicomponent chromatograms having Poissonian retention time distribution is found to be congruent to the PS of the single-component peak. A new way to obtain the statistical attributes of multicomponent chromatograms (i.e. retention time distribution type, number of components in the chromatogram and peak shape properties) is thus emphasized.

AB - On the basis of only the assumptions of the independence between peak heights and peak position and of stationary retention time distribution and under the hypothesis of constant peak shape, Fourier analysis is applied to analyze the structure of multicomponent chromatograms. In essence analysis is made of the properties of the chromatographic response covariance as a function of time distance and of its Fourier transform which is the power spectrum (PS). A general theoretical expression for the PS of the chromatogram is derived as a function of relative peak height dispersion, peak position distribution, and peak shape properties. The PS of the total chromatogram has the property of being proportional to the PS of a single-component peak. Detailed expressions for the PS and of the autocovariance function of chromatograms having different retention time distributions are presented and discussed. The PS of multicomponent chromatograms having Poissonian retention time distribution is found to be congruent to the PS of the single-component peak. A new way to obtain the statistical attributes of multicomponent chromatograms (i.e. retention time distribution type, number of components in the chromatogram and peak shape properties) is thus emphasized.

UR - http://www.scopus.com/inward/record.url?scp=0001532151&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0001532151&partnerID=8YFLogxK

M3 - Article

VL - 62

SP - 1846

EP - 1853

JO - Analytical Chemistry

JF - Analytical Chemistry

SN - 0003-2700

IS - 17

ER -