Discrete "H"A Optimization is concerned with the study of "H"A
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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