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

Phasor Arithmetics01:13

Phasor Arithmetics

931
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...
931
Time and frequency -Domain Interpretation of Phase-lead Control01:24

Time and frequency -Domain Interpretation of Phase-lead Control

496
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...
496
Time and frequency -Domain Interpretation of Phase-lag Control01:21

Time and frequency -Domain Interpretation of Phase-lag Control

433
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...
433
Phase-lead and Phase-lag Controllers01:22

Phase-lead and Phase-lag Controllers

611
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...
611
Linear Approximation in Time Domain01:21

Linear Approximation in Time Domain

388
Nonlinear systems often require sophisticated approaches for accurate modeling and analysis, with state-space representation being particularly effective. This method is especially useful for systems where variables and parameters vary with time or operating conditions, such as in a simple pendulum or a translational mechanical system with nonlinear springs.
For a simple pendulum with a mass evenly distributed along its length and the center of mass located at half the pendulum's length,...
388
Gain01:15

Gain

557
Gain and phase shift are properties of linear circuits that describe the effect a circuit has on a sinusoidal input voltage or current. The circuit's behavior that contains reactive elements will depend on the frequency of the input sinusoid. As a result, it is observed that the gain and phase shift will all be frequency functions.
Gain:
Suppose Vin is the input and Vout is the output signal to a circuit.
557

You might also read

Related Articles

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

Sort by
Same author

Revisiting deep information propagation: Fractal frontier and finite-size effects.

Neural networks : the official journal of the International Neural Network Society·2026
Same author

Next release of the European Marine Omics Biodiversity Observation Network (EMO BON) shotgun metagenomic data from water and sediment samples (Release 2).

Biodiversity data journal·2026
Same author

Revisiting PSF models: Unifying framework and high-performance implementation.

Journal of microscopy·2025
Same author

Perturbative Fourier ptychographic microscopy for fast quantitative phase imaging.

Optics express·2025
Same author

Model-based temporal unmixing towards quantitative photo-switching optoacoustic tomography.

Optics express·2025
Same author

Corrigendum: Profile and development of adaptive behavior in adults with autism spectrum disorder and severe intellectual disability.

Frontiers in psychiatry·2025
Same journal

Multifunctional reconfigurable terahertz metasurface based on vanadium dioxide phase transition: achieving broadband absorption and efficient polarization conversion.

Applied optics·2026
Same journal

High-Q-factor electromagnetically induced transparency utilizing quasi-bound states in the continuum in an all-dielectric terahertz metasurface.

Applied optics·2026
Same journal

Automated stitching interferometry for high-precision metrology of X-ray mirrors.

Applied optics·2026
Same journal

Experimental demonstration of an approach to designing a metal-dielectric DBR resonant cavity structure.

Applied optics·2026
Same journal

High-precision wavefront reconstruction from a single-shot interferogram using a physics-driven hybrid feature calibration network.

Applied optics·2026
Same journal

Ultra-high-Q Fano resonance based on coupled topological corner states in Kagome photonic crystals.

Applied optics·2026
See all related articles

Related Experiment Video

Updated: Mar 14, 2026

Shaping the Amplitude and Phase of Laser Beams by Using a Phase-only Spatial Light Modulator
08:39

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

Published on: January 28, 2019

10.5K

Proximity operators for phase retrieval.

Ferréol Soulez, Éric Thiébaut, Antony Schutz

    Applied Optics
    |September 24, 2016
    PubMed
    Summary
    This summary is machine-generated.

    We developed new proximity operators for phase retrieval that handle noisy and undersampled data, improving reconstruction accuracy over traditional methods.

    More Related Videos

    Time Multiplexing Super Resolving Technique for Imaging from a Moving Platform
    06:25

    Time Multiplexing Super Resolving Technique for Imaging from a Moving Platform

    Published on: February 12, 2014

    8.9K
    The Frequency Domain Thermoreflectance Technique for Thermal Property Measurements
    09:10

    The Frequency Domain Thermoreflectance Technique for Thermal Property Measurements

    Published on: December 5, 2025

    1.0K

    Related Experiment Videos

    Last Updated: Mar 14, 2026

    Shaping the Amplitude and Phase of Laser Beams by Using a Phase-only Spatial Light Modulator
    08:39

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

    Published on: January 28, 2019

    10.5K
    Time Multiplexing Super Resolving Technique for Imaging from a Moving Platform
    06:25

    Time Multiplexing Super Resolving Technique for Imaging from a Moving Platform

    Published on: February 12, 2014

    8.9K
    The Frequency Domain Thermoreflectance Technique for Thermal Property Measurements
    09:10

    The Frequency Domain Thermoreflectance Technique for Thermal Property Measurements

    Published on: December 5, 2025

    1.0K

    Area of Science:

    • Computational imaging
    • Signal processing
    • Applied mathematics

    Background:

    • Phase retrieval algorithms often rely on ideal, noise-free intensity measurements.
    • Classical projection steps in these algorithms are sensitive to noise and data limitations.
    • Existing methods struggle with realistic, noisy, or incomplete data.

    Purpose of the Study:

    • To introduce a novel family of proximity operators for phase retrieval.
    • To generalize the projection step for noisy and undersampled intensity measurements.
    • To enhance the robustness and performance of projection-based phase retrieval algorithms.

    Main Methods:

    • Developed proximity operators based on maximum-likelihood estimation.
    • Derived closed-form solutions for Gaussian and Poisson noise models.
    • Extended operators to handle undersampled intensity data.
    • Integrated operators into the Gerchberg-Saxton algorithm for evaluation.

    Main Results:

    • Proximity operators demonstrated superior performance compared to classical intensity projectors.
    • Reconstructed complex amplitudes showed significant improvement in accuracy.
    • Computational overhead of the new operators was found to be moderate.
    • The method proved effective for both noisy and undersampled phase retrieval scenarios.

    Conclusions:

    • The proposed proximity operators offer a robust alternative to traditional projection methods in phase retrieval.
    • These operators enhance the practical applicability of algorithms like Gerchberg-Saxton in real-world scenarios.
    • The formulation provides a significant advancement for handling imperfect data in phase retrieval.