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Noise Theory and Application to Physics

From Fluctuations to Information

  • Philippe Réfrégier
Textbook

Part of the Advanced Texts in Physics book series (ADTP)

Table of contents

  1. Front Matter
    Pages I-XIII
  2. Philippe Réfrégier
    Pages 1-4
  3. Philippe Réfrégier
    Pages 5-24
  4. Philippe Réfrégier
    Pages 25-69
  5. Philippe Réfrégier
    Pages 71-107
  6. Philippe Réfrégier
    Pages 109-136
  7. Philippe Réfrégier
    Pages 137-166
  8. Philippe Réfrégier
    Pages 167-207
  9. Philippe Réfrégier
    Pages 209-229
  10. Philippe Réfrégier
    Pages 231-283
  11. Back Matter
    Pages 285-288

About this book

Introduction

In many situations, physical quantities are perturbed or evolve in a not fully predictable way. We then speak about noise or fluctuations and we are generally faced to different questions such as: What are the correct physical models to describe them? What are the most practical mathematical tools to deal with them? How can relevant information be extracted in the presence of noise?

Noise theory and application to physics provides a precise description of the theoretical background and practical tools for noise and fluctuation analyses. It not only introduces basic mathematical descriptions and properties of noise and fluctuations but also discusses the physical origin of different noise models and presents some statistical methods which optimize measurements in the presence of such fluctuations.

Noise theory and application to physics investigates a number of ideas about noise and fluctuations in a single book in relation with probability and stochastic processes, information theory, statistical physics and statistical inference. The different notions are illustrated with many application examples from physics and engineering science and problems with solutions allow the reader to both check his understanding and to deepen some aspects.

Indeed, the main objective of Noise theory and application to physics is to be a practical guide for the reader for going from fluctuation to information. It will thus be of great interest to undergraduate or postgraduate students and researchers in physics and engineering sciences.

Keywords

Diffusion Moment Shannon entropy information statistical physics

Authors and affiliations

  • Philippe Réfrégier
    • 1
  1. 1.Institut FresnelD.U. St. JérômeMarseille cedex 20France

Bibliographic information

  • DOI https://doi.org/10.1007/978-0-387-22526-5
  • Copyright Information Springer-Verlag New York 2004
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4419-1896-3
  • Online ISBN 978-0-387-22526-5
  • Series Print ISSN 1439-2674
  • Buy this book on publisher's site