Resolution of overlapped electrochemical peaks with the use of the Kalman filter

Brown, Teri F.; Brown, Steven D.

doi:10.1021/ac00232a026

Cited by 97 publications

(26 citation statements)

References 30 publications

(22 reference statements)

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“…Most of these applications were concerned with multicomponent problems, including spectrophotometric and electrochemical systems. [10][11][12][13][14][15] Their studies have demonstrated that the Kalman filter method is an efficient approach to resolve multicomponent systems with overlapping peaks.…”

Section: Kalman Filter and Calculation Of The Absorption Coefficient mentioning

confidence: 99%

Spectrophotometric Determination of Europium, Terbium and Yttrium in a Perchloric Acid Solution by the Kalman Filter Approach

1999

ANAL. SCI.

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Natural deposits of rare-earth elements are abundant in China, and the rare-earth industry is important in the Chinese economy, because of their special photogenic, magnetic, mechanical and nuclear properties; rare-earth elements are widely applied in the fields of glass and ceramic industries, metallurgy, electronics, agriculture and natural science. 1 Chemists are increasingly paying attention to studies of the environmental, medical and biological applications of rare-earth elements to develop a rare-earth industry. Therefore, methods for their rapid, sensitive and accurate determination and separation are of great importance. However, it is extremely difficult to determine them individually without a preseparation due to the similarity of their chemical properties. More selective techniques, such as mass spectrometry (MS), inductively coupled plasma atomic emission spectrometry (ICP-AES), and inductively coupled plasma mass spectrometry (ICP-MS) and chromatography, are generally applied to individual determination of rare-earth elements. Although satisfactory results have been obtained, they have the disadvantages of relatively high costs incurred, and sometimes serious base effects. 2 Therefore, analysts have done much work to find some convenient methods for the individual quantification of these rare-earth species. Recently, spectrophotometry combined with chemometric approaches are often applied to the quantitative analysis of mixtures of rareearth elements. [3][4][5][6][7] However, many of these reported studies just involve the trace analysis of rare-earth elements, and generally a color reaction with the addition of a chromogenic reagent is necessary. For the determination of a mixture of rare-earth elements with major concentrations, a complexometric titration method can generally be used; it is only possible to determine the total amount of rare-earth elements. 8It has been found that in perchloric acid, some rare earth elements have well-shaped absorption spectra in the ultraviolet region without the addition of any chromogenic reagents, though these spectra are seriously overlapped. In these cases, chemometric approaches have the ability to resolve and quantify mixtures of rare-earth elements. Recently, Peralta-Zamora et al. 9 have reported a method to determine lanthanide mixtures by partial least squares (PLS); the molar absorptivities obtained for these lanthanides are in the range of 10.49 -26.00.In the present work, it was found that heavy rareearth elements (europium, terbium and yttrium) with high-level concentrations have good adsorption spectra in 1.0 mol l -1 perchloric acid with strongly overlapped spectra in the ultraviolet region. A Kalman filter was used to resolve the spectra of the mixture. In contrast to conventional implementation of the Kalman filter, an improved Kalman filter using the absorption-coefficient matrix obtained from a known set of mixtures by multiple linear regression (MLR) was found to yield the best results in this work. Department of Chemistry, Nanchang Univer...

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Section: Kalman Filter and Calculation Of The Absorption Coefficient mentioning

confidence: 99%

Spectrophotometric Determination of Europium, Terbium and Yttrium in a Perchloric Acid Solution by the Kalman Filter Approach

1999

ANAL. SCI.

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“…The Kalman filter has received some attention for the analysis of multicomponent chemical responses [4,6,16,17]. Because most models relating chemical responses to concentrations are linear, application of the Kalman filter is straightforward.…”

Section: Theorymentioning

confidence: 99%

Adaptive Kalman Filtering

Brown¹,

Rutan²

1985

J. RES. NATL. BUR. STAN.

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The increased power of small computers makes the use of parameter estimation methods attractive. Such methods have a number of uses in analytical chemistry. When valid models are available, many methods work well, but when models used in the estimation are in error, most methods fail. Methods based on the Kalman filter, a linear recursive estimator, may be modified to perform parameter estimation with erroneous models.Modifications to the filter involve allowing the filter to adapt the measurement model to theexperimental data through matching the theoretical and observed covoriance of the filter innovations sequence. The adaptive filtering methods that result have a number of applications in analytical chemistry.

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“…These comments have to be appreciated against the background of the early work in the application of chemometrics in electrochemistry as a whole, and electroanalysis, in particular. The initial studies seem to have appeared in the early 1980s [3][4][5] and emphasised the application of the KF or the FT transform methods for the resolution of electrochemical peaks, while a typical study of multivariate calibration modelling prior to 1993 is illustrated by the polarographic determination of pyrazines with the aid of the MLR, PCR and PLS methods [6].…”

Section: Introductionmentioning

confidence: 99%

Does chemometrics enhance the performance of electroanalysis?

Kokot

2008

Analytica Chimica Acta

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Resolution of overlapped electrochemical peaks with the use of the Kalman filter

Cited by 97 publications

References 30 publications

Spectrophotometric Determination of Europium, Terbium and Yttrium in a Perchloric Acid Solution by the Kalman Filter Approach

Spectrophotometric Determination of Europium, Terbium and Yttrium in a Perchloric Acid Solution by the Kalman Filter Approach

Adaptive Kalman Filtering

Does chemometrics enhance the performance of electroanalysis?

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