Signal Processing and Systems Theory: Selected Topics

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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.