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 mathematical
results derived here are applicable to digital control systems and
digital filtering.