Synopses & Reviews
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.
Synopsis
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.
Synopsis
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.
Table of Contents
From the contents: Digital Signals and Digital Filters.- Linear Systems.- Approximation in Hardy Spaces.- Optimal Hankel-Norm Approximation and
H¿ Minimization.- General Theory of Optimal Hankel-Norm Approximation.-
H¿ Optimization and System Reduction for MIMO Systems.- References.- Further Reading.- List of Symbols.- Subject Index.