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State estimation in chemometrics : the Kalman filter and beyond / Dr. P. C. Thijssen.
- Format:
- Book
- Author/Creator:
- Thijssen, P. C. (Pierre Cornelis)
- Language:
- English
- Subjects (All):
- Chemometrics.
- Kalman filtering.
- Physical Description:
- 1 online resource (133 p.)
- Place of Publication:
- Cambridge, England ; Philadelphia, Pennsylvania ; New Delhi, India : Woodhead Publishing, 2011.
- Language Note:
- English
- Summary:
- This unique text blends together state estimation and chemometrics for the application of advanced data-processing techniques. It further applies system theory in order to develop a modular framework to be implemented on computer for the development of simple intelligent analyzers. Short reviews on the history of state estimation and chemometrics are given, together with examples of the applications described, including classical estimation, state estimation, non-linear estimation, the multi-component, calibration and titration systems and the Kalman filter. The contents are very systematic and build the ideas up logically to appeal to specialist post-graduates working in this area, together with professionals in other areas of chemistry and engineering. Blends together state estimation and chemometrics for the application of advanced data-processing techniquesProvides short reviews on the history of state estimation and chemometrics, together with examples of the applications described
- Contents:
- Cover; ABOUT OUR AUTHOR; STATE ESTIMATION IN CHEMOMETRICS: The Kalman Filter and Beyond; Copyright; Contents; 1 Introduction; 1.1 History; 1.2 Chemometrics; 1.3 System view; 2 Classical estimation; 2.1 Linear model; 2.2 Least squares; 2.3 Curve fitting; 2.4 Recursive approach; 2.5 Examples; 3 State estimation; 3.1 State space model; 3.2 Intermezzo; 3.3 Prediction; 3.4 Filtering; 3.5 Kalman filter; 3.6 Smoothing; 3.7 Examples; 4 Statistics; 4.1 Verification; 4.2 Evaluation; 4.3 Selection; 4.4 Normality; 4.5 Example; 5 Non-linear estimation; 5.1 Non-linear state space model
- 5.2 Extended Kalman filter5. 3 Iterated extended Kalman filter; 5.4 Iterated linear filter-smoother; 5.5 Non-linear smoothing; 5.6 Examples; 6 The multicomponent system; 6.1 Multicomponent analysis; 6.2 Stochastic drift; 6.3 Examples; 7 The calibration system; 7.1 Linear calibration; 7.2 Non-linear calibration; 7.3 Examples; 8 The titration system; 8.1 Discrete titration; 8.2 Continuous titration; 8.3 Non-linear model; 8.4 Examples; 9 Miscellaneous; 9.1 Multiple modeling; 9.2 Principal components; 9.3 Examples; Appendix; Matrix fundamentals; Bibliography; Index
- Notes:
- Description based upon print version of record.
- Based on author's thesis (doctoral)--University of Amsterdam, 1986.
- Includes bibliographical references and index.
- Description based on print version record.
- ISBN:
- 0-85709-937-X
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