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Related Concept Videos

Properties of Fourier Transform I01:21

Properties of Fourier Transform I

163
The application of Fourier Transform properties in radio broadcasting is multifaceted, enabling significant advancements in the way signals are transmitted and received. Key areas where these properties are utilized include simultaneous multi-channel transmission, audio clip speed adjustments, live broadcast delays for different time zones, audio frequency adjustments, and signal demodulation.
In radio broadcasting, multiple audio signals often need to be transmitted simultaneously. The Fourier...
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Aliasing01:18

Aliasing

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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.
If the sampling frequency is below the Nyquist rate, these replicas overlap, preventing the original...
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Properties of Fourier Transform II01:24

Properties of Fourier Transform II

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The Fourier Transform (FT) is an essential mathematical tool in signal processing, transforming a time-domain signal into its frequency-domain representation. This transformation elucidates the relationship between time and frequency domains through several properties, each revealing unique aspects of signal behavior.
The Frequency Shifting property of Fourier Transforms highlights that a shift in the frequency domain corresponds to a phase shift in the time domain. Mathematically, if x(t) has...
187
Bandpass Sampling01:17

Bandpass Sampling

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In signal processing, bandpass sampling is an effective technique for sampling signals that have most of their energy concentrated within a narrow frequency band. This type of signal is known as a bandpass signal. The key principle of bandpass sampling involves sampling the signal at a rate that is greater than twice the signal's bandwidth to prevent aliasing.
A bandpass signal has a spectrum with a lower frequency limit, denoted as ω1, and an upper frequency limit, denoted as ω2....
166
IR Frequency Region: X–H Stretching01:24

IR Frequency Region: X–H Stretching

928
In IR spectroscopy, signals produced by the X−H bonds (such as C−H, O−H, or N−H) can be observed in the frequency range of  2700–4000 cm–1. The C−H stretching vibration forms sharp bands in the region 2850–3000 cm–1. The presence of the O−H stretching vibration leads to the forming of an absorption band in the frequency range 3650–3200 cm−1. At the same time, N−H stretching can be confirmed by absorption bands in...
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¹³C NMR: ¹H–¹³C Decoupling01:04

¹³C NMR: ¹H–¹³C Decoupling

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The probability of having two carbon-13 atoms next to each other is negligible because of the low natural abundance of carbon-13. Consequently, peak splitting due to carbon-carbon spin-spin coupling is not observed in spectra. However, protons up to three sigma bonds away split the carbon signal according to the n+1 rule, resulting in complicated spectra.
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Updated: Jun 16, 2025

Transmission of Multiple Signals through an Optical Fiber Using Wavefront Shaping
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Continuous spectrum nonlinear frequency division multiplexing transmission based on subcarrier index modulation.

Yu Zhang, Chenglin Bai, Zhihang Sun

    Optics Express
    |June 14, 2025
    PubMed
    Summary

    Subcarrier index modulation (SIM) enhances continuous spectrum nonlinear frequency division multiplexing (CS-NFDM) systems by using silent subcarriers to transmit extra data, boosting transmission rates and quality without significant complexity increases.

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    Area of Science:

    • Optical Communications
    • Signal Processing
    • Information Theory

    Background:

    • Continuous spectrum nonlinear frequency division multiplexing (CS-NFDM) systems face a trade-off between spectral efficiency (SE) and transmission quality due to guard intervals (GI).
    • Reducing GI improves SE but degrades signal transmission quality, while maintaining GI hampers SE enhancement.

    Purpose of the Study:

    • To address the limitations of CS-NFDM systems regarding spectral efficiency and transmission quality.
    • To introduce and evaluate a novel scheme, subcarrier index modulation-nonlinear frequency division multiplexing (SIM-NFDM), for improved performance.

    Main Methods:

    • Proposed the integration of subcarrier index modulation (SIM) into CS-NFDM systems, creating the SIM-NFDM system.
    • Utilized silent subcarrier positions to encode additional information bits at the transmitter.
    • Validated the SIM-NFDM scheme through simulations and experiments with 64 GHz and 16 GHz signal bandwidths.

    Main Results:

    • Achieved a maximum Q-factor improvement of 1.28 dB (64 GHz) and 0.42 dB (16 GHz) compared to classic CS-NFDM.
    • Demonstrated a maximum normalized transmission rate (NTR) enhancement of 14.5% for SIM-NFDM over CS-NFDM.
    • The added computational complexity is of the order O(m), deemed acceptable for the performance gains.

    Conclusions:

    • The proposed SIM-NFDM system effectively enhances transmission rate and quality in optical communication systems.
    • Silent subcarriers offer a viable method for increasing data capacity without compromising signal integrity.
    • SIM-NFDM presents a promising solution for future high-capacity optical networks.