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Related Concept Videos

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.
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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IR Spectrum Peak Splitting: Symmetric vs Asymmetric Vibrations01:08

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Identical bonds within a polyatomic group can stretch symmetrically (in-phase) or asymmetrically (out-of-phase). Similar to hydrogen bonding, these vibrations also influence the shape of the IR peak. Generally, asymmetric stretching frequencies are higher than symmetric stretching frequencies. For example, primary amines exhibit two distinct IR peaks between 3300–3500 cm−1 corresponding to the symmetric and asymmetric N-H stretching, while secondary amines exhibit a single...
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Linear Approximation in Time Domain01:21

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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.
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Related Experiment Video

Updated: May 24, 2025

Quasi-light Storage for Optical Data Packets
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Quadrant-partitioning uniformly distributed modulation for amplifier-free optical coherent systems.

Ziheng Zhang, Lizhi Wen, Yi Cai

    Optics Letters
    |February 28, 2025
    PubMed
    Summary

    We introduce a new quadrant-partitioning uniformly distributed modulation (QP-UDM) scheme for amplifier-free optical systems. This novel method improves modulation efficiency and reduces peak-to-average power ratio, outperforming existing techniques.

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    Area of Science:

    • Optical communications
    • Digital signal processing

    Background:

    • Amplifier-free coherent systems are crucial for short-reach optical links.
    • These systems face limitations due to signal peak power constraints, not average power.

    Purpose of the Study:

    • To propose a novel modulation scheme, quadrant-partitioning uniformly distributed modulation (QP-UDM), for peak-power-constrained amplifier-free systems.
    • To enhance modulation order and overcome limitations of existing schemes.

    Main Methods:

    • Development of the QP-UDM scheme, which partitions signal constellations into quadrants.
    • Comparison with conventional Uniformly Distributed Modulation (UDM) and Probabilistic Shaping Quadrature Amplitude Modulation (PS-QAM).

    Main Results:

    • QP-UDM achieves finer modulation orders compared to conventional UDM.
    • The scheme resolves error propagation issues in amplitude-division irregular QAM.
    • QP-UDM demonstrates a lower peak-to-average power ratio than Probabilistic Shaping (PS).
    • Experimental results at 28 Gbaud show QP-UDM outperforms PS-QAM at the same entropy.

    Conclusions:

    • QP-UDM is an effective solution for peak-power-constrained amplifier-free systems.
    • The proposed scheme offers superior performance and robustness over existing methods.