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Related Concept Videos

Frequency-Domain Interpretation of PD Control01:24

Frequency-Domain Interpretation of PD Control

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Proportional-Derivative (PD) controllers are widely used in fan control systems to improve stability and performance. A fan control system can be effectively represented using a Bode plot to illustrate the impact of a PD controller through its transfer function. The Bode plot visually conveys how PD control modifies the fan's response across various frequencies, providing a frequency domain interpretation of the controller's behavior.
The proportional control gain, combined with the...
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Design Example01:23

Design Example

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The innovation of touch-tone telephony revolutionized the telecommunications industry by replacing the traditional rotary dial with a dual-tone multi-frequency (DTMF) signaling system. This system uses a matrix-style keypad with buttons arranged in four rows and three columns, creating 12 distinct signals each assigned to a pair of frequencies. Each button press results in a simultaneous generation of two sinusoidal tones – one from a low-frequency group (697 to 941 Hz) and one from a...
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Time-Domain Interpretation of PD Control01:07

Time-Domain Interpretation of PD Control

231
Proportional-Derivative (PD) control is a widely used control method in various engineering systems to enhance stability and performance. In a system with only proportional control, common issues include high maximum overshoot and oscillation, observed in both the error signal and its rate of change. This behavior can be divided into three distinct phases: initial overshoot, subsequent undershoot, and gradual stabilization.
Consider the example of control of motor torque. Initially, a positive...
231
Phase-lead and Phase-lag Controllers01:22

Phase-lead and Phase-lag Controllers

274
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 Approximation in Frequency Domain01:26

Linear Approximation in Frequency Domain

234
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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PD Controller: Design01:26

PD Controller: Design

445
In automotive engineering, car suspension systems often employ Proportional Derivative (PD) controllers to enhance performance. PD controllers are utilized to adjust the damping force in response to road conditions. A controller, acting as an amplifier with a constant gain, demonstrates proportional control, with output directly mirroring input.
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Related Experiment Video

Updated: Nov 12, 2025

A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference
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PDL and CD insensitive low complexity equalizer for short reach coherent systems.

Zhenming Yu, Yilun Zhao, Shaohua Hu

    Optics Express
    |March 17, 2021
    PubMed
    Summary

    This study introduces a new adaptive equalizer (AEQ) for optical systems that effectively handles polarization-dependent loss (PDL) and chromatic dispersion (CD). The low-complexity design offers robust performance and faster convergence for short-reach communication.

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    Quasi-light Storage for Optical Data Packets
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    Area of Science:

    • Optical Communications
    • Signal Processing
    • Photonics

    Background:

    • Coherent optical transmission systems face challenges from polarization-dependent loss (PDL) and chromatic dispersion (CD).
    • Adaptive equalizers (AEQ) are crucial for mitigating inter-symbol interference (ISI) in these systems.
    • Existing AEQ designs can be complex and sensitive to PDL and CD.

    Purpose of the Study:

    • To propose a novel adaptive equalizer (AEQ) that is insensitive to PDL and CD.
    • To reduce the computational complexity of AEQs for short-reach optical systems.
    • To enhance the robustness and convergence speed of AEQs.

    Main Methods:

    • A low-complexity AEQ architecture combining a 1-tap butterfly finite impulse response (FIR) filter and two N-tap FIR filters.
    • Polarization demultiplexing using the 1-tap filter based on Stokes space.
    • Inter-symbol interference (ISI) mitigation using N-tap FIR filters with coefficients adjusted by the constant modulus algorithm (CMA).

    Main Results:

    • The proposed AEQ demonstrates robust polarization demultiplexing in the presence of PDL and CD.
    • Achieved faster convergence compared to existing AEQ designs.
    • Reduced computational complexity due to fewer multipliers compared to conventional butterfly structures.
    • Minimal bit error ratio (BER) loss compared to conventional AEQs.

    Conclusions:

    • The developed AEQ offers a low-complexity and robust solution for short-reach coherent optical transmission.
    • Its insensitivity to PDL and CD makes it suitable for future cost-effective optical communication systems.
    • The improved performance metrics position it as a valuable advancement in optical signal processing.