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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.
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Aliasing01:18

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Accurate signal sampling and reconstruction are crucial in various signal-processing applications. A time-domain signal's spectrum can be revealed using its Fourier transform. When this signal is sampled at a specific frequency, it results in multiple scaled replicas of the original spectrum in the frequency domain. The spacing of these replicas is determined by the sampling frequency.
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Determination of Expected Frequency01:08

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Suppose one wants to test independence between the two variables of a contingency table. The values in the table constitute the observed frequencies of the dataset. But how does one determine the expected frequency of the dataset? One of the important assumptions is that the two variables are independent, which means the variables do not influence each other. For independent variables, the statistical probability of any event involving both variables is calculated by multiplying the individual...
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Carrier Generation and Recombination01:22

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Carrier generation is the process by which electron-hole pairs (EHPs) are created within the semiconductor. In direct-bandgap semiconductors, such as gallium arsenide (GaAs), this occurs efficiently when energy absorption prompts valence electrons to leap into the conduction band, leaving behind holes.
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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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Electromagnetic waves are consistent with Ampere's law. Assuming there is no conduction current Ampere's law is given as:
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Related Experiment Video

Updated: May 7, 2026

Tracking Infiltration Front Depth Using Time-lapse Multi-offset Gathers Collected with Array Antenna Ground Penetrating Radar
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Simple full-range carrier frequency offset estimation for high speed CO-OFDM.

Hae Young Rha, Chun Ju Youn, Eun Soo Nam

    Optics Express
    |October 10, 2013
    PubMed
    Summary

    A new carrier frequency offset (CFO) algorithm using the Chinese Remainder Theorem (CRT) enables full-range estimation in coherent optical orthogonal frequency division multiplexing (CO-OFDM) systems. This method improves data rates with negligible bit error ratio degradation.

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

    • Optical Communications
    • Signal Processing
    • Digital Communications

    Background:

    • Coherent optical orthogonal frequency division multiplexing (CO-OFDM) systems are crucial for high-speed data transmission.
    • Carrier frequency offset (CFO) is a significant impairment in CO-OFDM systems, affecting performance.
    • Accurate CFO estimation is vital for maintaining signal integrity and maximizing data rates.

    Purpose of the Study:

    • To propose a simple, full-range carrier frequency offset (CFO) algorithm for CO-OFDM systems.
    • To enhance the estimation range and reduce training overhead for CFO estimation.
    • To validate the performance of the proposed algorithm through numerical simulations and experimental tests.

    Main Methods:

    • Application of the Chinese Remainder Theorem (CRT) to a single-frequency training symbol.
    • Development of a novel CFO estimation algorithm based on CRT.
    • Numerical simulations and experimental validation in a 16-ary quadrature amplitude modulation (QAM) CO-OFDM system.

    Main Results:

    • The proposed CRT-based algorithm achieves a full-range CFO estimation range, correlating with the sampling frequency.
    • Negligible bit error ratio (BER) degradation was observed with the use of a single training symbol.
    • The algorithm demonstrates effectiveness in high-speed CO-OFDM systems.

    Conclusions:

    • The proposed CRT-based algorithm offers a simple and effective solution for full-range CFO estimation in CO-OFDM systems.
    • This approach allows for increased data rates due to shorter training symbols.
    • The algorithm is suitable for high-speed optical communication systems requiring robust CFO compensation.