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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

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,...
Transmission-Line Differential Equations01:26

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Transmission lines are essential components of electrical power systems. They are characterized by the distributed nature of resistance (R), inductance (L), and capacitance (C) per unit length. To analyze these lines, differential equations are employed to model the variations in voltage and current along the line.
Line Section Model
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Linear time-invariant Systems01:23

Linear time-invariant Systems

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Aluminum has become the material of choice for overhead transmission lines, surpassing copper due to its abundance and cost-effectiveness. The most prevalent type is the aluminum conductor, steel-reinforced (ACSR), which combines aluminum strands around a steel core. Other variants include all-aluminum conductors (AAC), all-aluminum alloy conductors (AAAC), aluminum conductor alloy-reinforced (ACAR), and aluminum-clad steel conductors. Advanced designs, such as aluminum conductors with steel...
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Related Experiment Video

Updated: Jun 19, 2026

Rapid Repetition Rate Fluctuation Measurement of Soliton Crystals in a Microresonator
07:42

Rapid Repetition Rate Fluctuation Measurement of Soliton Crystals in a Microresonator

Published on: December 15, 2021

Data-dependent timing jitter in wavelength-division-multiplexing soliton systems.

R B Jenkins, J R Sauer, S Chakravarty

    Optics Letters
    |October 29, 2009
    PubMed
    Summary

    Soliton timing jitter in wavelength-multiplexed systems arises from soliton collisions. This study derives an expression for jitter variance, showing extensive wavelength multiplexing can enhance soliton communication systems.

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    Published on: December 15, 2021

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    Published on: April 4, 2017

    Quasi-light Storage for Optical Data Packets
    07:45

    Quasi-light Storage for Optical Data Packets

    Published on: February 6, 2014

    Area of Science:

    • Optical Communications
    • Nonlinear Optics
    • Information Theory

    Background:

    • Soliton timing jitter is a critical parameter in optical fiber communication systems.
    • Amplifier noise is a known source of timing jitter for solitons.
    • In wavelength-multiplexed systems, inter-channel soliton collisions introduce additional timing jitter.

    Purpose of the Study:

    • To derive an analytical expression for timing jitter variance caused by soliton collisions in wavelength-multiplexed systems.
    • To predict the performance of soliton communication systems considering collision-induced jitter.
    • To investigate the impact of extensive wavelength multiplexing on system performance.

    Main Methods:

    • Derivation of an expression for the variance in soliton arrival times due to inter-channel collisions.
    • Analysis of how fiber perturbations and information encoding influence jitter.
    • Application of the derived expression to a system model with loss and amplification.

    Main Results:

    • An expression for jitter variance caused by soliton collisions was successfully derived.
    • Jitter was shown to be dependent on both fiber perturbations and data encoding.
    • The analysis indicated that extensive wavelength multiplexing can significantly enhance system performance.

    Conclusions:

    • Soliton collisions are a significant source of timing jitter in wavelength-multiplexed systems.
    • The derived expression provides a tool for predicting system performance.
    • Wavelength multiplexing, when extensive, offers a pathway to improved soliton communication systems.