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Related Concept Videos

Linear Approximation in Time Domain01:21

Linear Approximation in Time Domain

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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,...
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Application of Linearization and Approximation01:29

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A drone flying through complex terrain often relies on more than one sensing method to estimate small changes in altitude. Along with direct measurements, air pressure provides a useful indirect indicator of vertical movement. Atmospheric pressure decreases as altitude increases, and this relationship is commonly described using an exponential model. Although accurate, converting pressure measurements into altitude values requires calculations that are too complex to perform repeatedly during...
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Linear Approximation in Frequency Domain01:26

Linear Approximation in Frequency Domain

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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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Phase-lead and Phase-lag Controllers01:22

Phase-lead and Phase-lag Controllers

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

Time and frequency -Domain Interpretation of Phase-lag Control

467
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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Time and frequency -Domain Interpretation of Phase-lead Control01:24

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561
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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Age-dependent Dynamics of Locomotion in Caenorhabditis elegans: A Lyapunov Exponent Analysis
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Low overhead slipless carrier phase estimation scheme.

Haiquan Cheng, Yan Li, Deming Kong

    Optics Express
    |October 17, 2014
    PubMed
    Summary

    A novel blind carrier phase recovery (CPR) and pilot-aided phase unwrapping (PAPU) scheme effectively mitigates cycle slip (CS) in 30 Gbaud QPSK systems with minimal pilot overhead.

    Area of Science:

    • Optical communication systems
    • Digital signal processing for optical communications
    • High-speed optical transmission

    Background:

    • Cycle slip (CS) is a significant impairment in coherent optical communication systems, particularly at high symbol rates like 30 Gbaud.
    • Phase noise, stemming from laser linewidth and fiber nonlinearity, exacerbates cycle slip, degrading system performance.
    • Existing methods for cycle slip mitigation often require substantial pilot overhead, impacting spectral efficiency.

    Purpose of the Study:

    • To evaluate and compare two slipless schemes for mitigating cycle slip in a single-carrier 30 Gbaud QPSK system.
    • To introduce and analyze a blind carrier phase recovery (CPR) combined with pilot-symbols-aided phase unwrapping (PAPU) scheme.
    • To assess the performance under an equivalent linewidth model encompassing both laser and fiber nonlinear impairments.

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    Main Methods:

    • Implementation and simulation of two distinct slipless schemes.
    • Application of an equivalent linewidth model to accurately represent phase noise effects.
    • Performance analysis using bit error ratio (BER) and signal-to-noise ratio (SNR) metrics.

    Main Results:

    • The proposed blind CPR + PAPU scheme successfully mitigates cycle slip.
    • This scheme requires only 0.39% pilot overhead, demonstrating high spectral efficiency.
    • Performance is achieved within a 1 dB SNR penalty limit at a BER of 10(-3) for a 4 MHz equivalent linewidth.

    Conclusions:

    • The blind CPR + PAPU scheme offers an effective and spectrally efficient solution for cycle slip mitigation in high-speed optical systems.
    • This approach significantly reduces the impact of phase noise from laser linewidth and fiber nonlinearity.
    • The findings are crucial for the development of robust and high-capacity optical communication technologies.