Charles K. Chui, Guanrong Chen

Discrete H8 Optimization (eBook, PDF)

With Applications in Signal Processing and Control Systems

• Format: PDF

Produktbeschreibung

This book discusses in detail H¿ optimization for digital signal processing and discrete-time control systems. The rigorous derivations of the results, many examples and the discussion of research problems, together with the fact that it is self-contained, make it suitable for self-study. It provides readers with sufficient background in the subject to enable them to begin research in this field.

---

Dieser Download kann aus rechtlichen Gründen nur mit Rechnungsadresse in A, B, BG, CY, CZ, D, DK, EW, E, FIN, F, GR, HR, H, IRL, I, LT, L, LR, M, NL, PL, P, R, S, SLO, SK ausgeliefert werden.

Produktdetails

• Verlag: Springer Berlin Heidelberg
• Seitenzahl: 261
• Erscheinungstermin: 6. Dezember 2012
• Englisch
• ISBN-13: 9783642591457
• Artikelnr.: 53171906

Inhaltsangabe

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.