Ebook: Discrete H ∞ Optimization: With Applications in Signal Processing and Control Systems

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 mathermatical results derived here are applicabel to digital control systems and digital filtering.

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Content:
Front Matter....Pages I-XIII
Digital Signals and Digital Filters....Pages 1-46
Linear Systems....Pages 47-83
Approximation in Hardy Spaces....Pages 84-117
Optimal Hankel-Norm Approximation and H ?-Minimization....Pages 118-168
General Theory of Optimal Hankel-Norm Approximation....Pages 169-207
H?-Optimization and System Reduction for MIMO Systems....Pages 208-246
Back Matter....Pages 247-262

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Content:
Front Matter....Pages I-XIII
Digital Signals and Digital Filters....Pages 1-46
Linear Systems....Pages 47-83
Approximation in Hardy Spaces....Pages 84-117
Optimal Hankel-Norm Approximation and H ?-Minimization....Pages 118-168
General Theory of Optimal Hankel-Norm Approximation....Pages 169-207
H?-Optimization and System Reduction for MIMO Systems....Pages 208-246
Back Matter....Pages 247-262
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