Ebook: Signal Processing and Systems Theory: Selected Topics

"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.

---

"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.

---

"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.
Content:
Front Matter....Pages I-XI
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 247-267

---

"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.
Content:
Front Matter....Pages I-XI
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 247-267
....