Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Related Concept Videos

Aliasing

Aliasing

Accurate signal sampling and reconstruction are crucial in various signal-processing applications. A time-domain signal's spectrum can be revealed using its Fourier transform. When this signal is sampled at a specific frequency, it results in multiple scaled replicas of the original spectrum in the frequency domain. The spacing of these replicas is determined by the sampling frequency.
If the sampling frequency is below the Nyquist rate, these replicas overlap, preventing the original signal...

Forced Oscillations

Forced Oscillations

When an oscillator is forced with a periodic driving force, the motion may seem chaotic. The motions of such oscillators are known as transients. After the transients die out, the oscillator reaches a steady state, where the motion is periodic, and the displacement is determined.

Upsampling

Upsampling

Managing signal sampling rates is essential in digital signal processing to maintain signal integrity. A decimated signal, characterized by a reduced frequency range due to its lower sampling rate, can be upsampled by inserting zeros between each sample. This upsampling process expands the original spectrum and introduces repeated spectral replicas at intervals dictated by the new Nyquist frequency. To refine this zero-inserted sequence, it is passed through a lowpass filter with a cutoff...

Oscillations In An LC Circuit

Oscillations In An LC Circuit

An idealized LC circuit of zero resistance can oscillate without any source of emf by shifting the energy stored in the circuit between the electric and magnetic fields. In such an LC circuit, if the capacitor contains a charge q before the switch is closed, then all the energy of the circuit is initially stored in the electric field of the capacitor. This energy is given by

Design Example: Underdamped Parallel RLC Circuit

Design Example: Underdamped Parallel RLC Circuit

Consider designing an oscillator circuit, a crucial component in various electronic devices and systems. The objective is to create an oscillator circuit with specific characteristics: a damped natural frequency of 4 kHz and a damping factor of 4 radians per second. To accomplish this, a parallel RLC circuit is employed, known for its ability to sustain oscillations at a resonant frequency. In this case, the damping factor is pivotal in achieving the desired performance.
Starting with a fixed...

Reconstruction of Signal using Interpolation

Reconstruction of Signal using Interpolation

Signal processing techniques are essential for accurately converting continuous signals to digital formats and vice versa. When a continuous signal is sampled with a period T, the resulting sampled signal exhibits replicas of the original spectrum in the frequency domain, spaced at intervals equal to the sampling frequency. To handle this sampled signal, a zero-order hold method can be applied, which creates a piecewise constant signal by retaining each sample's value until the next sampling...

You might also read

Related Articles

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

Sort by

Same author

Expanding the PET radioisotope universe utilizing solid targets on small medical cyclotrons.

RSC advances·2022

Same author

Exotic states in a simple network of nanoelectromechanical oscillators.

Science (New York, N.Y.)·2019

Same author

Minimum-action paths for wave-number selection in nonequilibrium systems.

Physical review. E·2016

Same author

Eliminating 1/f noise in oscillators.

Physical review. E, Statistical, nonlinear, and soft matter physics·2014

Same author

Phase noise of oscillators with unsaturated amplifiers.

Physical review. E, Statistical, nonlinear, and soft matter physics·2014

Same author

Phase synchronization of two anharmonic nanomechanical oscillators.

Physical review letters·2014

Search research articles

Related Experiment Video

Updated: May 21, 2026

Fabrication and Testing of Microfluidic Optomechanical Oscillators

Fabrication and Testing of Microfluidic Optomechanical Oscillators

Published on: May 29, 2014

Improving the frequency precision of oscillators by synchronization.

¹Department of Physics, California Institute of Technology, Pasadena, California 91125, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|June 12, 2012

Summary

Synchronizing many oscillators improves frequency precision, with gains depending on the source region, not the number of oscillators. This finding is independent of N for large N, highlighting the role of disorder.

More Related Videos

Continuous-Wave Propagation Channel-Sounding Measurement System - Testing, Verification, and Measurements

Continuous-Wave Propagation Channel-Sounding Measurement System - Testing, Verification, and Measurements

Published on: June 25, 2021

Implementation of a Reference Interferometer for Nanodetection

Implementation of a Reference Interferometer for Nanodetection

Published on: April 26, 2014

Related Experiment Videos

Last Updated: May 21, 2026

Fabrication and Testing of Microfluidic Optomechanical Oscillators

Fabrication and Testing of Microfluidic Optomechanical Oscillators

Published on: May 29, 2014

Continuous-Wave Propagation Channel-Sounding Measurement System - Testing, Verification, and Measurements

Continuous-Wave Propagation Channel-Sounding Measurement System - Testing, Verification, and Measurements

Published on: June 25, 2021

Implementation of a Reference Interferometer for Nanodetection

Implementation of a Reference Interferometer for Nanodetection

Published on: April 26, 2014

Area of Science:

Nonlinear dynamics
Complex systems
Statistical physics

Background:

Synchronization of coupled oscillators is crucial in various scientific fields.
Achieving precise frequency synchronization in systems with disparate oscillator frequencies presents a significant challenge.
Understanding the collective behavior of large oscillator networks is essential for technological applications.

Purpose of the Study:

To investigate methods for enhancing frequency precision through synchronization of N oscillators with differing frequencies.
To analyze the synchronized state in the phase reduction limit, particularly when coupling is not purely dissipative.
To determine the factors influencing frequency precision improvement in large oscillator lattices.

Main Methods:

Utilizing the phase reduction limit to model oscillator dynamics.
Analyzing targetlike wave patterns radiating from a source of higher-frequency oscillators.
Mapping nonlinear phase dynamics to the linear Anderson problem in quantum mechanics.
Applying the tight-binding approximation for electron behavior on a random lattice.

Main Results:

The synchronized state exhibits targetlike waves originating from a local source region.
Frequency precision improvement is independent of the number of oscillators (N) for large N.
The degree of improvement is dictated by the system's disorder and the properties of oscillators within the source region.

Conclusions:

The synchronization of disparate frequency oscillators can lead to significant frequency precision improvements.
For large systems, the collective behavior and precision gains are primarily governed by local source dynamics and disorder, rather than the total number of oscillators.
The study provides a novel connection between nonlinear oscillator dynamics and quantum mechanical Anderson localization models.