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Related Concept Videos

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

Time and frequency -Domain Interpretation of Phase-lead Control

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

Time and frequency -Domain Interpretation of Phase-lag Control

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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.
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Linear Approximation in Frequency Domain01:26

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Linear systems are characterized by two main properties: superposition and homogeneity. Superposition allows the response to multiple inputs to be the sum of the responses to each individual input. Homogeneity ensures that scaling an input by a scalar results in the response being scaled by the same scalar.
In contrast, nonlinear systems do not inherently possess these properties. However, for small deviations around an operating point, a nonlinear system can often be approximated as linear....
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Phase-lead and Phase-lag Controllers01:22

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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...
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Phase Changes01:19

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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.
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Phase-Contrast Microscopes
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Related Experiment Video

Updated: Nov 14, 2025

Shaping the Amplitude and Phase of Laser Beams by Using a Phase-only Spatial Light Modulator
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Error self-correction method for phase jump in multi-frequency phase-shifting structured light.

Ji Li, Jingtian Guan, Hui Du

    Applied Optics
    |March 10, 2021
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    Summary
    This summary is machine-generated.

    This study introduces a new self-correction method for phase jumps in multi-frequency phase-shifting structured light 3D measurements. The technique enhances accuracy by using redundant data without extra steps, validated by simulations and experiments.

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    Area of Science:

    • Optical Metrology
    • 3D Measurement Technologies
    • Computational Imaging

    Background:

    • Multi-frequency phase-shifting structured light offers high resolution and sampling rates for 3D measurements.
    • Phase jumps are a significant source of error, reducing the accuracy of these 3D measurements.
    • Existing methods often require additional data acquisition or complex processing to address phase jumps.

    Purpose of the Study:

    • To propose and validate a novel error self-correction method for phase jumps in multi-frequency heterodyne structured light measurements.
    • To improve the accuracy and reliability of 3D measurements affected by phase discontinuities.
    • To demonstrate a method that integrates self-correction without necessitating extra data acquisition.

    Main Methods:

    • Development of a self-correction algorithm for phase jump errors based on the multi-frequency heterodyne approach.
    • Utilization of redundant measurement data within the existing acquisition process for error correction.
    • Comparative analysis through simulations and experimental validation against classical heterodyne methods.

    Main Results:

    • The proposed method effectively corrects phase jump errors in multi-frequency structured light 3D measurements.
    • Simulations and experiments confirmed the enhanced accuracy compared to classical approaches.
    • The self-correction technique successfully operates without requiring additional measurement steps.

    Conclusions:

    • The developed error self-correction method is accurate and suitable for addressing phase jumps in 3D measurements.
    • This approach offers a practical solution for improving the precision of multi-frequency phase-shifting structured light systems.
    • The method's ability to self-correct using redundant data represents a significant advancement in optical metrology.