Title: Signal Processing and Systems Theory
Description: "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.
Subjects: Engineering, Mathematical physics, Telecommunication, Mathematical optimization, Physics, Systems theory, Signal processing, Discrete-time systems, System analysis, System theory, Complexity, Control Systems Theory, Calculus of Variations and Optimal Control; Optimization, Networks Communications Engineering, Mathematical Methods in Physics, Numerical and Computational Physics