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Quartz crystal resonators and oscillators for frequency control and timing applications: A tutorial, revision 6.1

John R. Vig
TLDR
In this article, the most frequently encountered concepts in frequency control and timing are presented to the nonspecialist, including aging, short-term instability, frequency vs. drive level effects, acceleration effects, the effect of shock, and radiation effects.
Abstract
: Subjects covered include: applications of frequency standards; types of oscillators (quartz and atomic); quartz resonator properties; quartz growing, sweeping, and material characteristics; Q and its significance; resonator and oscillator stability, including aging, short-term instability, frequency vs. temperature characteristics, oscillator circuit caused instabilities, frequency vs. drive level effects, acceleration effects, the effect of shock, and radiation effects; emerging technologies; atomic frequency standards; comparison of the major oscillator types; oscillator specifications and selection guidelines; time and timekeeping; clock errors; relativistic time; time transfer; time and frequency subsystem; and other applications of quartz resonators. The goal of this document is to assist in presenting to the nonspecialist the most frequently encountered concepts in frequency control and timing. The document originated as a set of hard copies of presentation visual graphs(i.e., vugraphs).... Quartz, Quartz crystal, Quartz resonator, Quartz oscillator, Resonator, Oscillator, Stability, Aging, Allan variance, Phase noise, Frequency control, Frequency standard, Clock, Time, Timekeeping, Atomic frequency standard, Rubidium standard, Cesium standard, Atomic resonator, Radiation effects, Vibration effects.

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Citations
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Journal ArticleDOI

Phase noise in oscillators: a unifying theory and numerical methods for characterization

TL;DR: In this paper, the authors developed a solid foundation for phase noise that is valid for any oscillator, regardless of operating mechanism, and established novel results about the dynamics of stable nonlinear oscillators in the presence of perturbations, both deterministic and random.
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Lead-free piezoceramics – Where to move on?

TL;DR: In this paper, a review of the history of lead-free piezoceramics can be found, which can be used to understand the interests and demands of industry side as well as to provide the industry with new scientific insights that would eventually lead to new applications.
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A Decentralized Robust Control Strategy for Multi-DER Microgrids—Part I: Fundamental Concepts

TL;DR: In this article, the authors present fundamental concepts of a central power management system (PMS) and a decentralized, robust control strategy for autonomous mode of operation of a microgrid that includes multiple distributed energy resource (DER) units.
Proceedings ArticleDOI

Phase noise in oscillators: a unifying theory and numerical methods for characterisation

TL;DR: This paper develops a solid foundation for phase noise that is valid for any oscillator, regardless of operating mechanism, and obtains an exact, nonlinear equation for phase error, which leads to a precise characterisation of timing jitter and spectral dispersion.
Journal ArticleDOI

Fundamental limits on the frequency stabilities of crystal oscillators

TL;DR: In this paper, the frequency instabilities of precision bulk acoustic wave (BAW) quartz crystal oscillators are reviewed and the fundamental limits on the achievable frequency stabilities and the degree to which fundamental limits have been approached to date are examined.
References
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Book

The quantum physics of atomic frequency standards

TL;DR: The Quantum Physics of Atomic Frequency Standards as mentioned in this paper is an extensive survey of the subject covering both theoretical and experimental aspects together with applications, and the major part of these volumes is devoted to a theoretical analysis of the operation of the numerous atomic frequency standards that are either in use, are being studied or have been proposed.
Book

Surface-wave devices for signal processing

David Morgan
TL;DR: A survey of acoustic waves in Elastic Solids and the multi-Strip Coupler and its Applications, and devices for Spread-Spectrum Communications.
Journal ArticleDOI

A review of electron spin spectroscopy and its application to the study of paramagnetic defects in crystalline quartz

TL;DR: A comprehensive review of the state of knowledge of paramagnetic defects in crystalline quartz, as derived from electron paramagnetic resonance spectroscopy and related techniques is presented in this paper.
Journal ArticleDOI

Crystals for quartz resonators

TL;DR: In this article, the authors decrit le processus de croissance hydrothermale and discute des importants defauts dans le quartz and les correlations entre eux, passe en revue les proprietes du quartz and donne un tableau des proprietes intrinseques and des liees aux defauts.
Journal ArticleDOI

Survey of quartz bulk resonator sensor technologies

TL;DR: The term 'bulk resonator' is used to include a variety of vibrational modes, namely thickness shear, single-endedflexural, double-ended flexural, and torsional, which are broken down by type of resonant mode.