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.
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.
Charles K. Chui
AAK theory Discrete-time systems Hardy spaces Hoo-optimization Interpolation MIMO Operator Signal Symbol optimization signal processing complexity