Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Variance01:15

Variance

12.6K
The deviations show how spread out the data are about the mean. A positive deviation occurs when the data value exceeds the mean, whereas a negative deviation occurs when the data value is less than the mean. If the deviations are added, the sum is always zero. So one cannot simply add the deviations to get the data spread. By squaring the deviations, the numbers are made positive; thus, their sum will also be positive.
The standard deviation measures the spread in the same units as the data....
12.6K
Sinusoidal Sources01:18

Sinusoidal Sources

1.2K
Direct current (DC) refers to an electric current that flows in a single direction, maintaining a constant polarity. This is in contrast to alternating current (AC), which periodically changes its direction and magnitude. AC forms the backbone of modern electricity transmission and distribution systems due to its efficient long-distance transmission capabilities.
In homes, the power supplies use sinusoidal sources to provide electricity. These sources generate a voltage that varies sinusoidally...
1.2K
Induced-fit Model01:13

Induced-fit Model

89.7K
Most chemical reactions in cells require enzymes—biological catalysts that speed up the reaction without being consumed or permanently changed. They reduce the activation energy needed to convert the reactants into products. Enzymes are proteins, that usually work by binding to a substrate—a reactant molecule that they act upon.
Enzymes exhibit substrate specificity, meaning that they can only bind to certain substrates. This is mainly determined by the shape and chemical...
89.7K
Inclusive Fitness00:57

Inclusive Fitness

42.3K
Most altruistic behavior—in which one animal helps another at a cost to themselves—occurs between relatives. Scientists think these altruistic behaviors evolved because they increase the inclusive fitness of the animal providing help.
42.3K
Exponential and Sinusoidal Signals01:18

Exponential and Sinusoidal Signals

759
The exponential function is crucial for characterizing waveforms that rise and decay rapidly. This continuous-time exponential function is defined using exponential terms with constants α and A. When both constants are real, the function is represented as,
759
Goodness-of-Fit Test01:16

Goodness-of-Fit Test

9.3K
The goodness-of-fit test is a type of hypothesis test which determines whether the data "fits" a particular distribution. For example, one may suspect that some anonymous data may fit a binomial distribution. A chi-square test (meaning the distribution for the hypothesis test is chi-square) can be used to determine if there is a fit. The null and alternative hypotheses may be written in sentences or stated as equations or inequalities. The test statistic for a goodness-of-fit test is given as...
9.3K

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Power-law distributions for a trapped ion interacting with a classical buffer gas.

Physical review letters·2009
Same journal

Compressed multi-scale entropy and its application in mechanical fault diagnosis.

The Review of scientific instruments·2026
Same journal

Bidirectional drive and multi-resolution adjustment across frequency bands in inertial impact piezoelectric motors via multimodal resonant vibration.

The Review of scientific instruments·2026
Same journal

A magnetic field sensor based on flaky Terfenol-D material and dual fiber grating.

The Review of scientific instruments·2026
Same journal

A novel E-field eight-way cavity combiner for high-power S-band applications.

The Review of scientific instruments·2026
Same journal

Constant radius blade spring suspended bench for vibration isolation.

The Review of scientific instruments·2026
Same journal

Qualification of infrared optical fibers and emitters for a spectrometer for in situ planetary exploration: Results from the TRIS (TRansmission and Illumination System) project.

The Review of scientific instruments·2026
See all related articles

Related Experiment Video

Updated: Feb 13, 2026

Purification of Hepatocytes and Sinusoidal Endothelial Cells from Mouse Liver Perfusion
08:54

Purification of Hepatocytes and Sinusoidal Endothelial Cells from Mouse Liver Perfusion

Published on: February 12, 2018

52.3K

Measuring the Allan variance by sinusoidal fitting.

Ralph G DeVoe1

  • 1Physics Department, Stanford University, Stanford, California 94305, USA.

The Review of Scientific Instruments
|March 3, 2018
PubMed
Summary
This summary is machine-generated.

This study presents a novel method for measuring frequency stability using Allan variance, achieving a residual Allan deviation of 3 × 10-13/τ. This advancement offers precise timing data for advanced applications.

More Related Videos

Daily Transfers, Archiving Populations, and Measuring Fitness in the Long-Term Evolution Experiment with Escherichia coli
15:00

Daily Transfers, Archiving Populations, and Measuring Fitness in the Long-Term Evolution Experiment with Escherichia coli

Published on: August 18, 2023

4.4K
A Quantitative Fitness Analysis Workflow
11:39

A Quantitative Fitness Analysis Workflow

Published on: August 13, 2012

15.0K

Related Experiment Videos

Last Updated: Feb 13, 2026

Purification of Hepatocytes and Sinusoidal Endothelial Cells from Mouse Liver Perfusion
08:54

Purification of Hepatocytes and Sinusoidal Endothelial Cells from Mouse Liver Perfusion

Published on: February 12, 2018

52.3K
Daily Transfers, Archiving Populations, and Measuring Fitness in the Long-Term Evolution Experiment with Escherichia coli
15:00

Daily Transfers, Archiving Populations, and Measuring Fitness in the Long-Term Evolution Experiment with Escherichia coli

Published on: August 18, 2023

4.4K
A Quantitative Fitness Analysis Workflow
11:39

A Quantitative Fitness Analysis Workflow

Published on: August 13, 2012

15.0K

Area of Science:

  • Metrology
  • Signal Processing
  • Physics

Background:

  • Accurate frequency stability measurement is crucial for various scientific and technological applications.
  • Traditional methods for Allan variance calculation can be complex and require specialized equipment.

Purpose of the Study:

  • To develop and validate a new method for measuring the Allan variance of signal and reference frequencies.
  • To achieve high precision in frequency stability measurements using readily available digital oscilloscopes.

Main Methods:

  • Utilizing a least-square fit of analog-to-digital converter outputs to ideal sine waves.
  • Calculating Allan variance from the phase difference between two signal channels.
  • Performing fits at signal frequencies around 10 MHz without heterodyning.

Main Results:

  • Achieved a residual Allan deviation of 3 × 10-13/τ (where τ is observation time in seconds).
  • Demonstrated a standard deviation in time of less than 300 femtoseconds (fs) or 20 microradians (μrad) in phase.
  • Experimental results were corroborated by statistical theory and Monte Carlo simulations.

Conclusions:

  • The developed method provides a precise and accessible approach to Allan variance measurement.
  • Optimized devices based on this method show potential for one to two orders of magnitude improvement in performance.
  • This technique has implications for advancing high-precision timing and frequency standards.