Signal Processing and Systems Theory
Selected Topics
Published on 12. February 2012
Book
Paperback/Softback
XI, 267 pages
978-3-642-97408-3 (ISBN)
Description
"Signal Processing and Systems Theory" 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
Softcover reprint of the original 1st ed. 1992
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Professional/practitioner
Illustrations
XI, 267 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 16 mm
Weight
435 gr
ISBN-13
978-3-642-97408-3 (9783642974083)
DOI
10.1007/978-3-642-97406-9
Schweitzer Classification
Other editions
Additional editions
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 Signak 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.- 4.3 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.