Noise, Oscillators and Algebraic Randomness
From Noise in Communication Systems to Number Theory
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Beschreibung
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.
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.
The book is an original attempt to connect the noise in experimental physics (electronic oscillators, receivers...) to arithmetic Several forms of noise are covered: classical and quantum noise, phase noise, 1/f noise Concrete applications of analytical number theory are also provided Includes supplementary material: sn.pub/extras
Autor*in
Michel Planat
Themen in »Noise, Oscillators and Algebraic Randomness«
Algebra Electronics Noise Oscillators Phase calculus chaos communication geometry metrology number theory resonance stability