Discrete H8 Optimization
With Applications in Signal Processing and Control Systems
2nd Edition
Published on 30. May 1997
Book
Paperback/Softback
XIII, 261 pages
978-3-540-61959-8 (ISBN)
Description
Discrete
H
¿ Optimization
is concerned with the study of
H
¿ optimization for digital signal processing and discrete-time control systems. The first three chapters present the basic theory and standard methods in digital filtering and systems from the frequency-domain approach, followed by a discussion of the general theory of approximation in Hardy spaces. AAK theory is introduced, first for finite-rank operators and then more generally, before being extended to the multi-input/multi-output setting. This mathematically rigorous book is self-contained and suitable for self-study. The advanced mathematical results derived here are applicable to digital control systems and digital filtering.
More details
Series
Edition
Second Edition 1997
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Edition type
New edition
Illustrations
XIII, 261 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 16 mm
Weight
429 gr
ISBN-13
978-3-540-61959-8 (9783540619598)
DOI
10.1007/978-3-642-59145-7
Schweitzer Classification
Other editions
Previous edition
Book
08/1992
Springer
€128.39
Article exhausted; check for reprint
Persons
Prof. Dr. Charles K. Chui, Stanford University, Stanford, CA, USA
Prof. Dr. Guanrong Chen, City Univesity Hong Kong, Kowloon, Hong Kong, PR China
Content
1. Digital Signals and Digital Filters.- 1.1 Analog and Digital Signals.- 1.2 Time and Frequency Domains.- 1.3 z-Transforms.- 1.4 Digital Filters.- 1.5 Optimal Digital Filter Design Criteria.- Problems.- 2. Linear Systems.- 2.1 State-Space Descriptions.- 2.2 Transfer Matrices and Minimal Realization.- 2.3 SISO Linear Systems.- 2.4 Sensitivity and Feedback Systems.- Problems.- 3. Approximation in Hardy Spaces.- 3.1 Hardy Space Preliminaries.- 3.2 Least-Squares Approximation.- 3.3 Minimum-Norm Interpolation.- 3.4 Nevanlinna-Pick Interpolation.- Problems.- 4. Optimal Hankel-Norm Approximation and H?-Minimization.- 4.1 The Nehari Theorem and Related Results.- 4.2 s-Numbers and Schmidt Pairs.- 4.3 System Reduction.- 4.4 H?-Minimization.- Problems.- 5. General Theory of Optimal Hankel-Norm Approximation.- 5.1 Existence and Preliminary Results.- 5.2 Uniqueness of Schmidt Pairs.- 5.3 The Greatest Common Divisor: The Inner Function ?I0(z).- 5.4 AAK's Main Theorem on Best Hankel-Norm Approximation.- Problems.- 6. H?-Optimization and System Reduction for MIMO Systems.- 6.1 Balanced Realization of MIMO Linear Systems.- 6.2 Matrix-Valued All-Pass Transfer Functions.- 6.3 Optimal Hankel-Norm Approximation for MIMO Systems.- Problems.- References.- Further Reading.- List of Symbols.