Ebook: Nonlinear System Identification by Haar Wavelets
Author: Przemysław Śliwiński (auth.)
- Genre: Mathematics // Wavelets and signal processing
- Tags: Statistical Theory and Methods
- Series: Lecture Notes in Statistics 210
- Year: 2013
- Publisher: Springer-Verlag Berlin Heidelberg
- Edition: 1
- Language: English
- pdf
In order to precisely model real-life systems or man-made devices, both nonlinear and dynamic properties need to be taken into account. The generic, black-box model based on Volterra and Wiener series is capable of representing fairly complicated nonlinear and dynamic interactions, however, the resulting identification algorithms are impractical, mainly due to their computational complexity. One of the alternatives offering fast identification algorithms is the block-oriented approach, in which systems of relatively simple structures are considered. The book provides nonparametric identification algorithms designed for such systems together with the description of their asymptotic and computational properties.
In order to precisely model real-life systems or man-made devices, both nonlinear and dynamic properties need to be taken into account. The generic, black-box model based on Volterra and Wiener series is capable of representing fairly complicated nonlinear and dynamic interactions, however, the resulting identification algorithms are impractical, mainly due to their computational complexity. One of the alternatives offering fast identification algorithms is the block-oriented approach, in which systems of relatively simple structures are considered. The book provides nonparametric identification algorithms designed for such systems together with the description of their asymptotic and computational properties.
In order to precisely model real-life systems or man-made devices, both nonlinear and dynamic properties need to be taken into account. The generic, black-box model based on Volterra and Wiener series is capable of representing fairly complicated nonlinear and dynamic interactions, however, the resulting identification algorithms are impractical, mainly due to their computational complexity. One of the alternatives offering fast identification algorithms is the block-oriented approach, in which systems of relatively simple structures are considered. The book provides nonparametric identification algorithms designed for such systems together with the description of their asymptotic and computational properties.
Content:
Front Matter....Pages i-xi
Introduction....Pages 1-4
Hammerstein Systems....Pages 5-11
Identification Goal....Pages 13-16
Haar Orthogonal Bases....Pages 17-41
Identification Algorithms....Pages 43-75
Computational Algorithms....Pages 77-93
Final Remarks....Pages 95-98
Back Matter....Pages 99-139
In order to precisely model real-life systems or man-made devices, both nonlinear and dynamic properties need to be taken into account. The generic, black-box model based on Volterra and Wiener series is capable of representing fairly complicated nonlinear and dynamic interactions, however, the resulting identification algorithms are impractical, mainly due to their computational complexity. One of the alternatives offering fast identification algorithms is the block-oriented approach, in which systems of relatively simple structures are considered. The book provides nonparametric identification algorithms designed for such systems together with the description of their asymptotic and computational properties.
Content:
Front Matter....Pages i-xi
Introduction....Pages 1-4
Hammerstein Systems....Pages 5-11
Identification Goal....Pages 13-16
Haar Orthogonal Bases....Pages 17-41
Identification Algorithms....Pages 43-75
Computational Algorithms....Pages 77-93
Final Remarks....Pages 95-98
Back Matter....Pages 99-139
....