Description - Signal Processing and Systems Theory by Charles K. Chui
"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.
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