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.).

Contributor(s): Planat, Michel, 1951-
Material type: TextTextSeries: Lecture notes in physics: 550.Publisher: Berlin ; New York : Springer, ©2000Description: 1 online resource (417 pages) : illustrationsContent type: text Media type: computer Carrier type: online resourceISBN: 9783540454632; 3540454632Subject(s): Electronic noise -- Mathematical models -- Congresses | Oscillators, Electric -- Congresses | Numerical analysis -- Congresses | Algebra -- Congresses | Telecommunication -- Mathematics -- Congresses | Algebra | Electronic noise -- Mathematical models | Numerical analysis | Oscillators, Electric | Telecommunication -- MathematicsGenre/Form: Electronic books. | Conference papers and proceedings. Additional physical formats: Print version:: 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, 1999DDC classification: 621.382/24 LOC classification: TK7867.5Online resources: Click here to access online
Contents:
1. Introduction -- 2. Classical and Quantum Noise -- 3. Noise in Oscillators, 1/f Noise and Arithmetic -- 4. Algebraic Randomness.
Summary: 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.
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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.

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

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