"Signal Processing and Systems Theory" is concerned with the

study of Hoptimization for digital signal processing and

discretetime 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.