Signal Processing and Systems Theory [E-Book] : Selected Topics / by Charles K. Chui, Guanrong Chen.
Chui, Charles K., (author)
Chen, Guanrong, (author)
Berlin, Heidelberg : Springer, 1992
XI, 267 p. online resource.
englisch
9783642974069
10.1007/978-3-642-97406-9
Springer Series in Information Sciences ; 26
Full Text
Table of Contents:
  • 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.