Discrete H Optimization

With Applications in Signal Processing and Control Systems

  • Charles K. Chui
  • Guanrong Chen

Part of the Springer Series in Information Sciences book series (SSINF, volume 26)

Table of contents

  1. Front Matter
    Pages I-XIII
  2. Charles K. Chui, Guanrong Chen
    Pages 1-46
  3. Charles K. Chui, Guanrong Chen
    Pages 47-83
  4. Charles K. Chui, Guanrong Chen
    Pages 84-117
  5. Charles K. Chui, Guanrong Chen
    Pages 118-168
  6. Charles K. Chui, Guanrong Chen
    Pages 169-207
  7. Charles K. Chui, Guanrong Chen
    Pages 208-246
  8. Back Matter
    Pages 247-262

About this book


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 mathermatical results derived here are applicabel to digital control systems and digital filtering.


AAK theory Discrete-time systems Hardy spaces Hoo-optimization Interpolation MIMO Operator Signal Symbol optimization signal processing

Authors and affiliations

  • Charles K. Chui
    • 1
  • Guanrong Chen
    • 2
  1. 1.Department of Mathematics, and Department of Electrical EngineeringTexas A&M UniversityCollege StationUSA
  2. 2.Department of Electrical EngineeringUniversity of HoustonHoustonUSA

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 1997
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-61959-8
  • Online ISBN 978-3-642-59145-7
  • Series Print ISSN 0720-678X
  • Buy this book on publisher's site