© 1993

Parametrizations in Control, Estimation and Filtering Problems: Accuracy Aspects


Part of the Communications and Control Engineering book series (CCE)

Table of contents

  1. Front Matter
    Pages i-xv
  2. Michel Gevers, Gang Li
    Pages 1-21
  3. Michel Gevers, Gang Li
    Pages 23-44
  4. Michel Gevers, Gang Li
    Pages 45-83
  5. Michel Gevers, Gang Li
    Pages 85-107
  6. Michel Gevers, Gang Li
    Pages 109-125
  7. Michel Gevers, Gang Li
    Pages 127-158
  8. Michel Gevers, Gang Li
    Pages 159-181
  9. Michel Gevers, Gang Li
    Pages 183-215
  10. Michel Gevers, Gang Li
    Pages 217-259
  11. Michel Gevers, Gang Li
    Pages 261-287
  12. Michel Gevers, Gang Li
    Pages 289-318
  13. Back Matter
    Pages 359-373

About this book


This book is all about finite wordlength errors in digital filters, con­ trollers and estimators, and how to minimize the deleterious effects of these errors on the performance of these devices. This does by no means imply that all about finite wordlength errors in filters, controllers and estimators is to be found in this book. We first ventured into the world of finite wordlength effects in 1987 when Gang Li began his PhD thesis in this area. Our more experienced readers might well say 'This shows', but we believe that the extent of our new contributions largely offsets our relative inexperience about the subject that might surface here and there in the book. Our naive view on the subject of finite wordlength errors in 1987 could probably be summarized as follows: • numerical errors due to finite wordlength encoding and roundoff are something that one has to live with, and there is probably not much that can be done about them except to increase the wordlength by improvements on the hardware; • these errors are as old as finite arithmetic and numerical analysis and they must therefore be well understood by now; • thus, if something can be done to minimize their effects, it must have been analysed and put into practice a long time ago. It is almost fair to say that we were wrong on all counts.


Normal algorithms calculus control design digital signal processing filtering filters information operator scaling signal signal processing simulation transformation

Authors and affiliations

  1. 1.Centre for Systems Engineering and Applied Mechanics (CESAME)Université Catholique de Louvain, Bâtiment EulerLouvain-la-NeuveBelgium
  2. 2.School of Electrical and Electronic EngineeringNanyang Technological UniversitySingapore

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