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Related Concept Videos

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.
Phase-lag controllers do not place a pole at zero, but instead influence the steady-state error by amplifying any...
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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.
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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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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.
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Related Experiment Video

Updated: Jul 6, 2025

Shaping the Amplitude and Phase of Laser Beams by Using a Phase-only Spatial Light Modulator
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Subcarrier modulation based phase-coded coherent lidar.

Anpeng Song, Kai Jin, Chen Xu

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    |January 4, 2024
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    Summary
    This summary is machine-generated.

    This study introduces a novel coherent lidar system using lean subcarrier modulation. The system achieves high-resolution imaging (over 4 cm) by effectively acquiring phase information without frequency aliasing.

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    Area of Science:

    • Optics and Photonics
    • Signal Processing
    • Remote Sensing Technology

    Background:

    • Coherent lidar systems are crucial for high-resolution remote sensing.
    • Traditional systems face challenges with Doppler tolerance and Nyquist sampling.
    • Non-quadrature receivers and undersampling present unique signal processing hurdles.

    Purpose of the Study:

    • To develop a lean subcarrier modulation-based phase-coded coherent lidar system.
    • To overcome limitations of low Doppler tolerance and sub-Nyquist sampling ratios.
    • To demonstrate efficient phase acquisition free from frequency aliasing.

    Main Methods:

    • Utilizing lean subcarrier modulation and phase-coded signals.
    • Employing a non-quadrature receiver architecture.
    • Implementing pulse compression to extract phase information.
    • Performing validation experiments using inverse synthetic aperture lidar (ISAL).

    Main Results:

    • Phase information was successfully obtained after pulse compression.
    • The mirror frequency introduced by real sampling was rendered negligible.
    • Experimental validation using ISAL yielded imaging resolution superior to 4 cm.
    • The system demonstrated efficient phase acquisition without frequency aliasing.

    Conclusions:

    • The proposed lean subcarrier modulation lidar system effectively acquires phase information.
    • The system achieves high-resolution ISAL imaging with undersampling.
    • This approach offers a promising solution for advanced coherent lidar applications.