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

Time and frequency -Domain Interpretation of Phase-lead Control

Time and frequency -Domain Interpretation of Phase-lead Control

Phase-lead controllers are commonly used in various control systems to enhance response speed and stability. Adjusting the brightness on a television screen offers a practical example of phase-lead control. When contrast is enhanced, a phase-lead controller is employed. Mathematically, phase-lead control is identified when the first parameter is smaller than the second.
The design of phase-lead control involves the strategic placement of poles and zeros to balance steady-state error and system...

The Phase Rule

The Phase Rule

The phase rule describes the relationship between the variance (degrees of freedom), the number of components, and the number of phases in a system at equilibrium.Variance is a concept that denotes the number of independent intensive properties (properties are those that do not depend on the amount of material in the system), such as temperature, pressure, and composition, that can be altered without impacting the number of phases in equilibrium.In a single-component system, such as pure water,...

Phase-lead and Phase-lag Controllers

Phase-lead and Phase-lag Controllers

Understanding the working function of different types of controllers can be illustrated with practical analogies, such as adjusting a stereo's volume equalizer. Cranking up the bass involves a phase-lead controller, which functions as a high-pass filter, while increasing the treble uses a phase-lag controller, which acts as a low-pass filter. PD controllers, similar to high-pass filters, enhance the system's response to high-frequency components. PI controllers, akin to low-pass filters, manage...

Time and frequency -Domain Interpretation of Phase-lag Control

Time and frequency -Domain Interpretation of Phase-lag Control

Phase-lag controllers are widely used in control systems to improve stability and reduce steady-state errors. A dimmer switch controlling the brightness of a light bulb serves as a practical example of phase-lag control, gradually adjusting the bulb's brightness. Mathematically, phase-lag control or low-pass filtering is represented when the factor 'a' is less than 1.
Phase-lag controllers do not place a pole at zero, but instead influence the steady-state error by amplifying any finite,...

Phase Changes

Phase Changes

Phase transitions play an important theoretical and practical role in the study of heat flow. In melting or fusion, a solid turns into a liquid; the opposite process is freezing. In evaporation, a liquid turns into a gas; the opposite process is condensation.
A substance melts or freezes at a temperature called its melting point and boils or condenses at its boiling point. These temperatures depend on pressure. High pressure favors the denser form of the substance, so typically, high pressure...

Phasor Arithmetics

Phasor Arithmetics

Phasors and their corresponding sinusoids are interrelated, offering unique insights into the behavior of alternating current (AC) circuits. One way to understand this relationship is through the operations of differentiation and integration in both the time and phasor domains.
When the derivative of a sinusoid is taken in the time domain, it transforms into its corresponding phasor multiplied by j-omega (jω) in the phasor domain, where j is the imaginary unit, and ω is the angular frequency.

You might also read

Related Articles

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

Sort by

Same author

Artificial Intelligence in Epigenetic Studies: Shedding Light on Rare Diseases.

Frontiers in molecular biosciences·2021

Same author

External Patch-Based Image Restoration Using Importance Sampling.

IEEE transactions on image processing : a publication of the IEEE Signal Processing Society·2019

Same author

A Framework for Fast Image Deconvolution With Incomplete Observations.

IEEE transactions on image processing : a publication of the IEEE Signal Processing Society·2016

Same author

Collaborative sparse regression using spatially correlated supports--Application to hyperspectral unmixing.

IEEE transactions on image processing : a publication of the IEEE Signal Processing Society·2015

Same author

Separation of synchronous sources through phase locked matrix factorization.

IEEE transactions on neural networks and learning systems·2014

Same author

Absolute phase estimation: adaptive local denoising and global unwrapping.

Applied optics·2008

Search research articles

Related Experiment Video

Updated: Jun 20, 2026

Shaping the Amplitude and Phase of Laser Beams by Using a Phase-only Spatial Light Modulator

Shaping the Amplitude and Phase of Laser Beams by Using a Phase-only Spatial Light Modulator

Published on: January 28, 2019

CAPE: combinatorial absolute phase estimation.

Gonçalo Valadão¹, José Bioucas-Dias

¹Instituto de Telecomunicações and Instituto Superior Técnico, Avenida Rovisco Pais, Torre Norte, Piso 10, 1049-001 Lisboa, Portugal. gvaladao@lx.it.pt

Journal of the Optical Society of America. A, Optics, Image Science, and Vision

|September 2, 2009

Summary

This study introduces a Bayesian algorithm for absolute phase estimation in interferometry. It effectively handles nonlinearities and combines phase unwrapping and denoising using graph-based optimization for improved accuracy.

More Related Videos

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

Retrospective Cardiac Gating with A Prototype Small-Animal X-ray Computed Tomograph

Retrospective Cardiac Gating with A Prototype Small-Animal X-ray Computed Tomograph

Published on: February 21, 2025

Related Experiment Videos

Last Updated: Jun 20, 2026

Shaping the Amplitude and Phase of Laser Beams by Using a Phase-only Spatial Light Modulator

Shaping the Amplitude and Phase of Laser Beams by Using a Phase-only Spatial Light Modulator

Published on: January 28, 2019

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

Retrospective Cardiac Gating with A Prototype Small-Animal X-ray Computed Tomograph

Retrospective Cardiac Gating with A Prototype Small-Animal X-ray Computed Tomograph

Published on: February 21, 2025

Area of Science:

* Interferometry and Signal Processing
* Computational Physics and Optics

Background:

* Absolute phase estimation is critical for interferometric applications but is challenged by 2π-periodic nonlinearities.
* Existing methods often struggle with noise and discontinuity handling in phase data.

Purpose of the Study:

* To develop a robust Bayesian algorithm for absolute phase estimation in interferometric data.
* To integrate phase unwrapping and denoising within a unified framework.

Main Methods:

* A Bayesian approach utilizing a first-order Markov random field prior and a maximum a posteriori probability (MAP) estimation.
* A multiprecision, suboptimal algorithm for MAP solution computation, building upon the PUMA algorithm.
* Graph-based optimization using min-cuts for solving binary optimization problems at each precision level.

Main Results:

* The algorithm successfully unwraps phase while simultaneously denoising, leveraging detected discontinuities.
* The approach demonstrates effectiveness in handling 2π-periodic sinusoidal nonlinearities.
* Experimental results validate the algorithm's performance and accuracy.

Conclusions:

* The proposed Bayesian algorithm offers a unified and efficient solution for absolute phase estimation.
* The method effectively combines phase unwrapping and denoising, improving upon existing techniques.
* The graph min-cuts optimization ensures fast and reliable computation of the MAP solution.