Overview

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.

Full Product Details

Author:   Michel Planat
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   2000 ed.
Volume:   550
Dimensions:   Width: 15.50cm , Height: 2.20cm , Length: 23.50cm
Weight:   0.652kg
ISBN:  

9783662142967

ISBN 10:   3662142961
Pages:   418
Publication Date:   23 August 2014
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand  
We will order this item for you from a manufactured on demand supplier.

Table of Contents

Mathemagics.- Thermal and Quantum Noise in Active Systems.- Dipole at ? = 1.- Stored Ion Manipulation Dynamics of Ion Cloud and Quantum Jumps with Single Ions.- 1/f Fluctuations in Cosmic Ray Extensive Air Showers.- Stochastic Resonance and the Benefit of Noise in Nonlinear Systems.- Time is Money.- Oscillators and the Characterization of Frequency Stability: an Introduction.- Phase Noise Metrology.- Phonon Fine Structure in the 1/f Noise of Metals, Semiconductors and Semiconductor Devices.- The General Nature of Fundamental 1/f Noise in Oscillators and in the High Technology Domain.- 1/f Frequency Noise in a Communication Receiver and the Riemann Hypothesis.- Detection of Chaos in the Noise of Electronic Oscillators by Time Series Analysis Methods.- Geometry and Dynamics of Numbers Under Finite Resolution.- Diophantine Conditions and Real or Complex Brjuno Functions.- Algebraic and Analytic Randomness.- From Symbolic Dynamics to a Digital Approach: Chaos and Transcendence.- Algebraic Dynamics and Transcendental Numbers.- Dynamics of Some Contracting Linear Functions Modulo 1.- On the Modular Function and Its Importance for Arithmetic.- On Generalized Markoff Equations and Their Interpretation.

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