Noise, oscillators, and algebraic randomness : from noise in communication systems to number theory : lectures of a school held in Chapelle des Bois, France, April 5-10, 1999 / Michel Planat (ed.). - Berlin ; New York : Springer, ©2000. - 1 online resource (417 pages) : illustrations - Lecture notes in physics, 550 0075-8450 ; . - Lecture notes in physics ; 550. .

Includes bibliographical references.

1. Introduction -- 2. Classical and Quantum Noise -- 3. Noise in Oscillators, 1/f Noise and Arithmetic -- 4. Algebraic Randomness.

Annotation Noise is ubiquitous in nature & 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 & the understanding of quantum, 1/f & phase noise in systems such as electronic amplifiers, oscillators & receivers, trapped ions, cosmic ray showers & in commercial applications. A strong link between 1/f noise & 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, physicists & mathematicians.

9783540454632 3540454632

Electronic noise--Mathematical models--Congresses.
Oscillators, Electric--Congresses.
Numerical analysis--Congresses.
Electronic noise--Mathematical models.
Numerical analysis.
Oscillators, Electric.

Electronic books.
Conference papers and proceedings.



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