Discrete H∞ Optimization

1. Front Matter

   Pages I-XIII

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2. Digital Signals and Digital Filters

   • Charles K. Chui, Guanrong Chen

   Pages 1-46

3. Linear Systems

   • Charles K. Chui, Guanrong Chen

   Pages 47-83

4. Approximation in Hardy Spaces

   • Charles K. Chui, Guanrong Chen

   Pages 84-117

5. Optimal Hankel-Norm Approximation and H ^∞-Minimization

   • Charles K. Chui, Guanrong Chen

   Pages 118-168

6. General Theory of Optimal Hankel-Norm Approximation

   • Charles K. Chui, Guanrong Chen

   Pages 169-207

7. H∞-Optimization and System Reduction for MIMO Systems

   • Charles K. Chui, Guanrong Chen

   Pages 208-246

8. Back Matter

   Pages 247-262

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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.

• AAK theory
• Discrete-time systems
• Hardy spaces
• Hoo-optimization
• Interpolation
• MIMO
• Operator
• Signal
• Symbol
• optimization
• signal processing
• complexity

• Department of Mathematics, and Department of Electrical Engineering, Texas A&M University, College Station, USA

  Charles K. Chui

• Department of Electrical Engineering, University of Houston, Houston, USA

  Guanrong Chen

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