Articles liés à An Operator Perspective on Signals and Systems
Synopsis
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.
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Operator Perspective on Signals and Systems
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An Operator Perspective on Signals and Systems (Hardcover)
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Birkhauser Verlag AG, Basel, 2009
ISBN 10 : 303460291X
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Neuf
Couverture rigide
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Hardcover. Etat : new. Hardcover. 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. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. N° de réf. du vendeur 9783034602914
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An Operator Perspective on Signals and Systems (Operator Theory: Advances and Applications, 204)
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Operator Perspective on Signals and Systems
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Birkhäuser, 2009
ISBN 10 : 303460291X
ISBN 13 : 9783034602914
Ancien ou d'occasion
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An Operator Perspective on Signals and Systems (Operator Theory: Advances and Applications, 204)
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An Operator Perspective on Signals and Systems (Operator Theory: Advances and Applications, 204)
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An Operator Perspective on Signals and Systems
Edité par
Birkhäuser Basel Nov 2009, 2009
ISBN 10 : 303460291X
ISBN 13 : 9783034602914
Neuf
Couverture rigide
Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
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Buch. Etat : Neu. Neuware -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. 444 pp. Englisch. N° de réf. du vendeur 9783034602914
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An Operator Perspective on Signals and Systems
Edité par
Birkhäuser Basel, 2009
ISBN 10 : 303460291X
ISBN 13 : 9783034602914
Neuf
Couverture rigide
Vendeur : moluna, Greven, Allemagne
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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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 theorySome new algorithms based on finite section meth. N° de réf. du vendeur 4317915
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An Operator Perspective on Signals and Systems
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Etat : New. pp. 444. N° de réf. du vendeur 261368158
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An Operator Perspective on Signals and Systems
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Etat : New. Print on Demand pp. 444. N° de réf. du vendeur 6512513
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