In this monograph, we combine operator techniques with state space methods to solve factorization, spectral estimation, and interpolation problems arising in control and signal processing… Mehr…
In this monograph, we combine operator techniques with state space methods to solve factorization, spectral estimation, and interpolation problems arising in control and signal processing.We present both the theory and algorithms with some Matlab code to solve these problems.A classical approach to spectral factorization problems in control theory is based on Riccati equations arising in linear quadratic control theory and Kalman ?ltering.One advantage of this approach is that it readily leads to algorithms in the non-degenerate case.On the other hand, this approach does not easily generalize to the nonrational case, and it is not always transparent where the Riccati equations are coming from.Operator theory has developed some elegant methods to prove the existence of a solution to some of these factorization and spectral estimation problems in a very general setting.However, these techniques are in general not used to develop computational algorithms.In this monograph, we will use operator theory with state space methods to derive computational methods to solve factorization, sp- tral estimation, and interpolation problems.It is emphasized that our approach is geometric and the algorithms are obtained as a special application of the theory.We will present two methods for spectral factorization.One method derives al- rithms based on ?nite sections of a certain Toeplitz matrix.The other approach uses operator theory to develop the Riccati factorization method.Finally, we use isometric extension techniques to solve some interpolation problems.; PDF; Reference > Research & information: general > Information theory > Cybernetics & systems theory, Springer Basel<
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In this monograph, we combine operator techniques with state space methods to solve factorization, spectral estimation, and interpolation problems arising in control and signal processing… Mehr…
In this monograph, we combine operator techniques with state space methods to solve factorization, spectral estimation, and interpolation problems arising in control and signal processing. We present both the theory and algorithms with some Matlab code to solve these problems. A classical approach to spectral factorization problems in control theory is based on Riccati equations arising in linear quadratic control theory and Kalman ?ltering. One advantage of this approach is that it readily leads to algorithms in the non-degenerate case. On the other hand, this approach does not easily generalize to the nonrational case, and it is not always transparent where the Riccati equations are coming from. Operator theory has developed some elegant methods to prove the existence of a solution to some of these factorization and spectral estimation problems in a very general setting. However, these techniques are in general not used to develop computational algorithms. In this monograph, we will use operator theory with state space methods to derive computational methods to solve factorization, sp- tral estimation, and interpolation problems. It is emphasized that our approach is geometric and the algorithms are obtained as a special application of the theory. We will present two methods for spectral factorization. One method derives al- rithms based on ?nite sections of a certain Toeplitz matrix. The other approach uses operator theory to develop the Riccati factorization method. Finally, we use isometric extension techniques to solve some interpolation problems., Birkhäuser<
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Preface.- I Basic Operator Theory.- 1 The Wold Decomposition.- 2 Toeplitz and Laurent Operators.- 3 Inner and Outer Functions.- 4 Rational Inner and Outer Functions.- 5 The Naimark Repres… Mehr…
Preface.- I Basic Operator Theory.- 1 The Wold Decomposition.- 2 Toeplitz and Laurent Operators.- 3 Inner and Outer Functions.- 4 Rational Inner and Outer Functions.- 5 The Naimark Representation.- 6 The Rational Case.- II Finite Section Techniques.- 7 The Levinson Algorithm and Factorization.- 8 Isometric Representations and Factorization.- 9 Signal Processing.- III Riccati Methods.- 10 Riccati Equations and Factorization.- 11 Kalman and Wiener Filtering.- IV Interpolation Theory.- 13 Contractive Nevanlinna-Pick Interpolation.- V Appendices.- 14 A Review of State Space.- 15 The Levinson Algorithm.- Index. eBook ArthurE. Frazho#Wisuwat Bhosri PDF, Springer, 29.12.2009, Springer, 2009<
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Preface.- I Basic Operator Theory.- 1 The Wold Decomposition.- 2 Toeplitz and Laurent Operators.- 3 Inner and Outer Functions.- 4 Rational Inner and Outer Functions.- 5 The Naimark Repres… Mehr…
Preface.- I Basic Operator Theory.- 1 The Wold Decomposition.- 2 Toeplitz and Laurent Operators.- 3 Inner and Outer Functions.- 4 Rational Inner and Outer Functions.- 5 The Naimark Representation.- 6 The Rational Case.- II Finite Section Techniques.- 7 The Levinson Algorithm and Factorization.- 8 Isometric Representations and Factorization.- 9 Signal Processing.- III Riccati Methods.- 10 Riccati Equations and Factorization.- 11 Kalman and Wiener Filtering.- IV Interpolation Theory.- 13 Contractive Nevanlinna-Pick Interpolation.- V Appendices.- 14 A Review of State Space.- 15 The Levinson Algorithm.- Index. eBook ArthurE. Frazho#Wisuwat Bhosri 29.12.2009, Springer, Springer<
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In this monograph, we combine operator techniques with state space methods to solve factorization, spectral estimation, and interpolation problems arising in control and signal processing… Mehr…
In this monograph, we combine operator techniques with state space methods to solve factorization, spectral estimation, and interpolation problems arising in control and signal processing.We present both the theory and algorithms with some Matlab code to solve these problems.A classical approach to spectral factorization problems in control theory is based on Riccati equations arising in linear quadratic control theory and Kalman ?ltering.One advantage of this approach is that it readily leads to algorithms in the non-degenerate case.On the other hand, this approach does not easily generalize to the nonrational case, and it is not always transparent where the Riccati equations are coming from.Operator theory has developed some elegant methods to prove the existence of a solution to some of these factorization and spectral estimation problems in a very general setting.However, these techniques are in general not used to develop computational algorithms.In this monograph, we will use operator theory with state space methods to derive computational methods to solve factorization, sp- tral estimation, and interpolation problems.It is emphasized that our approach is geometric and the algorithms are obtained as a special application of the theory.We will present two methods for spectral factorization.One method derives al- rithms based on ?nite sections of a certain Toeplitz matrix.The other approach uses operator theory to develop the Riccati factorization method.Finally, we use isometric extension techniques to solve some interpolation problems.; PDF; Reference > Research & information: general > Information theory > Cybernetics & systems theory, Springer Basel<
No. 9783034602921. Versandkosten:Instock, Despatched same working day before 3pm, zzgl. Versandkosten.
In this monograph, we combine operator techniques with state space methods to solve factorization, spectral estimation, and interpolation problems arising in control and signal processing… Mehr…
In this monograph, we combine operator techniques with state space methods to solve factorization, spectral estimation, and interpolation problems arising in control and signal processing. We present both the theory and algorithms with some Matlab code to solve these problems. A classical approach to spectral factorization problems in control theory is based on Riccati equations arising in linear quadratic control theory and Kalman ?ltering. One advantage of this approach is that it readily leads to algorithms in the non-degenerate case. On the other hand, this approach does not easily generalize to the nonrational case, and it is not always transparent where the Riccati equations are coming from. Operator theory has developed some elegant methods to prove the existence of a solution to some of these factorization and spectral estimation problems in a very general setting. However, these techniques are in general not used to develop computational algorithms. In this monograph, we will use operator theory with state space methods to derive computational methods to solve factorization, sp- tral estimation, and interpolation problems. It is emphasized that our approach is geometric and the algorithms are obtained as a special application of the theory. We will present two methods for spectral factorization. One method derives al- rithms based on ?nite sections of a certain Toeplitz matrix. The other approach uses operator theory to develop the Riccati factorization method. Finally, we use isometric extension techniques to solve some interpolation problems., Birkhäuser<
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Preface.- I Basic Operator Theory.- 1 The Wold Decomposition.- 2 Toeplitz and Laurent Operators.- 3 Inner and Outer Functions.- 4 Rational Inner and Outer Functions.- 5 The Naimark Repres… Mehr…
Preface.- I Basic Operator Theory.- 1 The Wold Decomposition.- 2 Toeplitz and Laurent Operators.- 3 Inner and Outer Functions.- 4 Rational Inner and Outer Functions.- 5 The Naimark Representation.- 6 The Rational Case.- II Finite Section Techniques.- 7 The Levinson Algorithm and Factorization.- 8 Isometric Representations and Factorization.- 9 Signal Processing.- III Riccati Methods.- 10 Riccati Equations and Factorization.- 11 Kalman and Wiener Filtering.- IV Interpolation Theory.- 13 Contractive Nevanlinna-Pick Interpolation.- V Appendices.- 14 A Review of State Space.- 15 The Levinson Algorithm.- Index. eBook ArthurE. Frazho#Wisuwat Bhosri PDF, Springer, 29.12.2009, Springer, 2009<
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Preface.- I Basic Operator Theory.- 1 The Wold Decomposition.- 2 Toeplitz and Laurent Operators.- 3 Inner and Outer Functions.- 4 Rational Inner and Outer Functions.- 5 The Naimark Repres… Mehr…
Preface.- I Basic Operator Theory.- 1 The Wold Decomposition.- 2 Toeplitz and Laurent Operators.- 3 Inner and Outer Functions.- 4 Rational Inner and Outer Functions.- 5 The Naimark Representation.- 6 The Rational Case.- II Finite Section Techniques.- 7 The Levinson Algorithm and Factorization.- 8 Isometric Representations and Factorization.- 9 Signal Processing.- III Riccati Methods.- 10 Riccati Equations and Factorization.- 11 Kalman and Wiener Filtering.- IV Interpolation Theory.- 13 Contractive Nevanlinna-Pick Interpolation.- V Appendices.- 14 A Review of State Space.- 15 The Levinson Algorithm.- Index. eBook ArthurE. Frazho#Wisuwat Bhosri 29.12.2009, Springer, Springer<
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Buch in der Datenbank seit 2009-12-05T20:17:42+01:00 (Vienna) Detailseite zuletzt geändert am 2024-02-24T05:14:23+01:00 (Vienna) ISBN/EAN: 9783034602921
ISBN - alternative Schreibweisen: 3-0346-0292-8, 978-3-0346-0292-1 Alternative Schreibweisen und verwandte Suchbegriffe: Autor des Buches: wißuwa, birkhäuser, toeplitz, hans joachim Titel des Buches: changes perspective, operator system
Daten vom Verlag:
Autor/in: Arthur Frazho; Wisuwat Bhosri Titel: Linear Operators and Linear Systems; Operator Theory: Advances and Applications; An Operator Perspective on Signals and Systems Verlag: Birkhäuser; Springer Basel 431 Seiten Erscheinungsjahr: 2009-12-29 Basel; CH Sprache: Englisch 117,69 € (DE) 121,00 € (AT) 142,00 CHF (CH) Available XI, 431 p.
EA; E107; eBook; Nonbooks, PBS / Mathematik/Analysis; Funktionalanalysis und Abwandlungen; Verstehen; Factorization; Filtering; Interpolation; Levinson algorithm; MATLAB; Operator theory; Riccati equation; Signal processing; State space; B; Operator Theory; Systems Theory, Control; Computational Science and Engineering; Mathematics and Statistics; Kybernetik und Systemtheorie; Numerische Mathematik; BB
Basic Operator Theory.- The Wold Decomposition.- Toeplitz and Laurent Operators.- Inner and Outer Functions.- Rational Inner and Outer Functions.- The Naimark Representation.- The Rational Case.- Finite Section Techniques.- The Levinson Algorithm and Factorization.- Isometric Representations and Factorization.- Signal Processing.- Riccati Methods.- Riccati Equations and Factorization.- Kalman and Wiener Filtering.- Interpolation Theory.- Tangential Nevanlinna-Pick Interpolation.- Contractive Nevanlinna-Pick Interpolation.- Appendices.- A Review of State Space.- The Levinson Algorithm. This book uses geometric techniques to develop both the theory and the algorithms behind many factorization, interpolation, and signal processing problems arising in engineering and operator theory Some "new" algorithms based on finite section methods are presented Numerical examples using MATLAB are included Includes supplementary material: sn.pub/extras
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