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Two-Dimensional Discrete Coupled Fractional Fourier Transform (DCFrFT)
Fractal and FractionalThe fractional Fourier transform is critical in signal processing and supports many applications. Signal processing is one notable application. Implementing the fractional Fourier transform requires discrete versions.
Asma Elshamy +2 more
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Journal of Computer Networks and Communications, 2016 We present the exact symbol error rate (SER) expression for quadrature phase shift keying (QPSK) modulation in frequency selective Rayleigh fading channel for discrete fractional Fourier transform- (DFrFT-) based orthogonal frequency division ...
Atul Kumar +3 more
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Waveform Design and DoA-DoD Estimation of OFDM-LFM Signal Based on SDFnT for MIMO Radar
IEEE Access, 2023 In comparison to orthogonal frequency division multiplexing (OFDM), the OFDM linear frequency modulation (OFDM-LFM) signal has similar time-bandwidth product, lower peak-to-average power ratio, and higher sensitivity to Doppler frequency shift, making it
Jingqi Wang +3 more
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Engineering Science and Technology, an International Journal, 2021 The paper proposes an unplanned island detection method in a microgrid with micro phasor measurement unit (μPMU). The μPMU extracts certain features, by using multi domain nature of discrete fractional Fourier transform, from measured voltage data and ...
Soham Dutta +2 more
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MetrologyAccurate and efficient frequency estimation is essential in many scientific fields and has led to the development of various algorithms. Commonly used methods involve applying the Discrete Fourier Transform followed by spectral interpolation.
Fernando M. Janeiro, Pedro M. Ramos
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A Workflow to Accelerate Microstructure‐Sensitive Fatigue Life Predictions
Advanced Engineering Materials, EarlyView.This study introduces a workflow to accelerate predictions of microstructure‐sensitive fatigue life. Results from frameworks with varying levels of simplification are benchmarked against published reference results. The analysis reveals a trade‐off between accuracy and model complexity, offering researchers a practical guide for selecting the optimal ...
Luca Loiodice +2 more
wiley +1 more source
The discrete harmonic oscillator, Harper's equation, and the discrete fractional Fourier transform [PDF]
, 2000 Certain solutions to Harper's equation are discrete analogues of (and approximations to) the Hermite-Gaussian functions. They are the energy eigenfunctions of a discrete algebraic analogue of the harmonic oscillator, and they lead to a definition of a ...
Özaktaş, Haldun M. +4 more
core +3 more sources
A CLOSED-FORM DISCRETE FRACTIONAL GABOR EXPANSION
Electrica, 2003 We present a discrete fractional Gabor expansion based on the closed form discrete fractional Fourier transform. The traditional Gabor expansion represents a signal as a linear combination of time and frequency shifted basis functions.
Erol ÖNEN, Aydın AKAN
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Design of fractional order differentiator using type-III and type-IV discrete cosine transform
Engineering Science and Technology, an International Journal, 2017 In this paper, an interpolation method based on discrete cosine transform (DCT) is employed for digital finite impulse response-fractional order differentiator (FIR-FOD) design. Here, a fractional order digital differentiator is modeled as finite impulse
Manjeet Kumar, Tarun Kumar Rawat
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Image encryption using fractional integral transforms: Vulnerabilities, threats, and future scope
Frontiers in Applied Mathematics and Statistics, 2022 With the enormous usage of digital media in almost every sphere from education to entertainment, the security of sensitive information has been a concern.
Gurpreet Kaur +2 more
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