Discrete-time Stochastic Systems

Soderstrom, Torsten

ISBN 10: 1852336498 / ISBN 13: 9781852336493

Editore: Springer London Ltd, 2002

A comprehensive introduction to the estimation and control of dynamic stochastic systems. It provides derivations of key results. It includes a presentation of polynomial control and derivation of linear-quadratic-Gaussian control. Series: Advanced Textbooks in Control and Signal Processing. Num Pages: 398 pages, 1 black & white illustrations, 8 black & white tables, biography. BIC Classification: PBWL. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 234 x 156 x 20. Weight in Grams: 715. . 2002. 2nd ed. 2002. Paperback. . . . . Books ship from the US and Ireland. Codice articolo V9781852336493

Riassunto:

Discrete-time Stochastic Systems gives a comprehensive introduction to the estimation and control of dynamic stochastic systems and provides complete derivations of key results such as the basic relations for Wiener filtering. The book covers both state-space methods and those based on the polynomial approach. Similarities and differences between these approaches are highlighted. Some non-linear aspects of stochastic systems (such as the bispectrum and extended Kalman filter) are also introduced and analysed. The books chief features are as follows: * inclusion of the polynomial approach provides alternative and simpler computational methods than simple reliance on state-space methods; * algorithms for analysis and design of stochastic systems allow for ease of implementation and experimentation by the reader; * the highlighting of spectral factorization gives appropriate emphasis to this key concept often overlooked in the literature; * explicit solutions of Wiener problems are handy schemes, well suited for computations compared with more commonly available but abstract formulations; * complex-valued models that are directly applicable to many problems in signal processing and communications. Changes in the second edition include: * additional information covering spectral factorisation and the innovations form; * the chapter on optimal estimation being completely rewritten to focus on a posteriori estimates rather than maximum likelihood; * new material on fixed lag smoothing and algorithms for solving Riccati equations are improved and more up to date; * new presentation of polynomial control and new derivation of linear-quadratic-Gaussian control. Discrete-time Stochastic Systems is primarily of benefit to students taking M.Sc. courses in stochastic estimation and control, electronic engineering and signal processing but may also be of assistance for self study and as a reference.

Dalla quarta di copertina:

Discrete-time Stochastic Systems gives a comprehensive introduction to the estimation and control of dynamic stochastic systems and provides complete derivations of key results such as the basic relations for Wiener filtering. The book covers both state-space methods and those based on the polynomial approach. Similarities and differences between these approaches are highlighted. Some non-linear aspects of stochastic systems (such as the bispectrum and extended Kalman filter) are also introduced and analysed. The books chief features are as follows:

• inclusion of the polynomial approach provides alternative and simpler computational methods than simple reliance on state-space methods;

• algorithms for analysis and design of stochastic systems allow for ease of implementation and experimentation by the reader;

• the highlighting of spectral factorization gives appropriate emphasis to this key concept often overlooked in the literature;

• explicit solutions of Wiener problems are handy schemes, well suited for computations compared with more commonly available but abstract formulations;

• complex-valued models that are directly applicable to many problems in signal processing and communications.

Changes in the second edition include:

• additional information covering spectral factorisation and the innovations form;

• the chapter on optimal estimation being completely rewritten to focus on a posteriori estimates rather than maximum likelihood;

• new material on fixed lag smoothing and algorithms for solving Riccati equations are improved and more up to date;

• new presentation of polynomial control and new derivation of linear-quadratic-Gaussian control.

Discrete-time Stochastic Systems is primarily of benefit to students taking M.Sc. courses in stochastic estimation and control, electronic engineering and signal processing but may also be of assistance for self study and as a reference.

Dati bibliografici

Titolo: Discrete-time Stochastic Systems
Casa editrice: Springer London Ltd
Data di pubblicazione: 2002
Legatura: Brossura
Condizione: New
Edizione: seconda edizione