Noise, Oscillators and Algebraic Randomness

From Noise in Communication Systems of Number Theory Lectures of a School Held in Chapelle des Bois, France, April 5–10, 1999

  • Michel Planat
Conference proceedings

Part of the Lecture Notes in Physics book series (LNP, volume 550)

Table of contents

  1. Front Matter
    Pages I-VIII
  2. Michel Planat
    Pages 1-5
  3. Pierre Cartier
    Pages 6-67
  4. Jean-Michel Courty, Francesca Grassia, Serge Reynaud
    Pages 71-83
  5. V. Pasquier
    Pages 84-106
  6. E. Faleiro, J.M.G. Gómez
    Pages 125-136
  7. Marcel Ausloos, Nicolas Vandewalle, Kristinka Ivanova
    Pages 156-171
  8. Enrico Rubiola, Vincent Giordano
    Pages 189-215
  9. Jacky Cresson, Jean-Nicolas Dénarié
    Pages 305-323
  10. Pierre Moussa, Stefano Marmi
    Pages 324-342
  11. Jean-Paul Allouche
    Pages 345-356
  12. Michel Waldschmidt
    Pages 372-378
  13. Yann Bugeaud, Jean-Pierre Conze
    Pages 379-387

About these proceedings


Noise is ubiquitous in nature and in man-made systems. Noise in oscillators perturbs high-technology devices such as time standards or digital communication systems. The understanding of its algebraic structure is thus of vital importance. The book addresses both the measurement methods and the understanding of quantum, 1/f and phase noise in systems such as electronic amplifiers, oscillators and receivers, trapped ions, cosmic ray showers and in commercial applications. A strong link between 1/f noise and number theory is emphasized. The twenty papers in the book are comprehensive versions of talks presented at a School in Chapelle des Bois (Jura, France) held from April 6 to 10, 1999 by engineers, physisicts and mathematicians.


Algebra Electronics Noise Oscillators Phase calculus chaos communication geometry metrology number theory resonance stability

Editors and affiliations

  • Michel Planat
    • 1
  1. 1.Laboratoire de Physique et Merologiedes Oscillateurs du CNRSBesançon CedexFrance

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 2000
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-67572-3
  • Online ISBN 978-3-540-45463-2
  • Series Print ISSN 0075-8450
  • Buy this book on publisher's site
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