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Time and Frequency: Theory and Fundamentals

Time and Frequency: Theory and Fundamentals
Author: Byron Emerson Blair
Publisher:
Total Pages: 468
Release: 1974
Genre: Atomic frequency standards
ISBN:

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The document is a tutorial Monograph describing various aspects of time and frequency (T/F). Included are chapters relating to elemental concepts of precise time and frequency; basic principles of quartz oscillators and atomic frequency standards; historical review, recent progress, and current status of atomic frequency standards; promising areas for developing future primary frequency standards; relevance of frequency standards to other areas of metrology including a unified standard concept; statistics of T/F data analysis coupled with the theory and construction of the NBS atomic time scale; an overview of T/F dissemination techniques; and the standards of T/F in the USA. The Monograph addresses both the specialist in the field as well as those desiring basic information about time and frequency. The authors trace the development and scope of T/F technology, its improvement over periods of decades, its status today, and its possible use, applications, and development in days to come.


Time and Frequency

Time and Frequency
Author:
Publisher:
Total Pages: 459
Release: 1974
Genre:
ISBN:

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Foundations of Time-Frequency Analysis

Foundations of Time-Frequency Analysis
Author: Karlheinz Gröchenig
Publisher: Springer Science & Business Media
Total Pages: 367
Release: 2013-12-01
Genre: Technology & Engineering
ISBN: 1461200032

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Time-frequency analysis is a modern branch of harmonic analysis. It com prises all those parts of mathematics and its applications that use the struc ture of translations and modulations (or time-frequency shifts) for the anal ysis of functions and operators. Time-frequency analysis is a form of local Fourier analysis that treats time and frequency simultaneously and sym metrically. My goal is a systematic exposition of the foundations of time-frequency analysis, whence the title of the book. The topics range from the elemen tary theory of the short-time Fourier transform and classical results about the Wigner distribution via the recent theory of Gabor frames to quantita tive methods in time-frequency analysis and the theory of pseudodifferential operators. This book is motivated by applications in signal analysis and quantum mechanics, but it is not about these applications. The main ori entation is toward the detailed mathematical investigation of the rich and elegant structures underlying time-frequency analysis. Time-frequency analysis originates in the early development of quantum mechanics by H. Weyl, E. Wigner, and J. von Neumann around 1930, and in the theoretical foundation of information theory and signal analysis by D.


NBS Special Publication

NBS Special Publication
Author:
Publisher:
Total Pages: 954
Release: 1976
Genre: Weights and measures
ISBN:

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Frequency Standards

Frequency Standards
Author: Fritz Riehle
Publisher: John Wiley & Sons
Total Pages: 540
Release: 2006-03-06
Genre: Science
ISBN: 3527605959

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Of all measurement units, frequency is the one that may be determined with the highest degree of accuracy. It equally allows precise measurements of other physical and technical quantities, whenever they can be measured in terms of frequency. This volume covers the central methods and techniques relevant for frequency standards developed in physics, electronics, quantum electronics, and statistics. After a review of the basic principles, the book looks at the realisation of commonly used components. It then continues with the description and characterisation of important frequency standards from atomic clocks, to frequency stabilised lasers. The whole is rounded of with a discussion of topical applications in engineering, telecommunications, and metrology.


Quantum Metrology and Fundamental Physical Constants

Quantum Metrology and Fundamental Physical Constants
Author: A.A. Lucas
Publisher: Springer Science & Business Media
Total Pages: 647
Release: 2013-12-01
Genre: Science
ISBN: 1489921451

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The object of this NATO Advanced Study Institute was to pre sent a tutorial 'introduction both to the basic physics of recent spectacular advances achieved in the field of metrology and to the determination of fundamental physical constants. When humans began to qualify their description of natural phenomena, metrology, the science of measurement, developed along side geometry and mathematics. However, flam antiquity to modern times, the role of metrology was mostly restricted to the need of commercial, social or scientific transactions of local or at most national scope. Beginning with the Renaissance, and particularly in western Europe during the last century, metrology rapidly developed an international character as a result of growing needs for more accurate measurements and common standards in the emerging indus trial society. Although the concerns of metrology are deeply rooted to fundamental sciences, it was, until recently, perceived by much of the scientific community as mostly custodial in character.