Results 1 to 10 of about 353 (143)

Deconvolved Fractional Fourier Domain Beamforming for Linear Frequency Modulation Signals [PDF]

Sensors, 2023
To estimate the direction of arrival (DOA) of a linear frequency modulation (LFM) signal in a low signal-to-noise ratio (SNR) hydroacoustic environment by a small aperture array, a novel deconvolved beamforming method based on fractional Fourier domain ...
Zhuoran Liu, Quan Tao, Wanzhong Sun, Xiaomei Fu   +3 more
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Enhanced Fast Fractional Fourier Transform (FRFT) Scheme Based on Closed Newton-Cotes Rules

Axioms
The paper presents an enhanced numerical framework for computing the one-dimensional fast Fractional Fourier Transform (FRFT) by integrating closed-form Composite Newton-Cotes quadrature rules.
Aubain Nzokem, Daniel Maposa, Anna M. Seimela   +2 more
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Fractional Fourier Transform-Based Tensor RX for Hyperspectral Anomaly Detection

Remote Sensing, 2022
Anomaly targets in a hyperspectral image (HSI) are often multi-pixel, rather than single-pixel, objects. Therefore, algorithms using a test point vector may ignore the spatial characteristics of the test point.
Lili Zhang, Jiachen Ma, Baozhi Cheng, Fang Lin   +3 more
doaj   +1 more source

Time Reversal and Fractional Fourier Transform-Based Method for LFM Signal Detection in Underwater Multi-Path Channel

Applied Sciences, 2021
Fractional Fourier transform (FrFT) is a useful tool to detect linear frequency modulated (LFM) signal. However, the detection performance of the FrFT-based method will deteriorate drastically in underwater multi-path environment.
Zhichen Zhang, Haiyan Wang, Haiyang Yao
doaj   +1 more source

Quantum Weighted Fractional Fourier Transform

Mathematics, 2022
Quantum Fourier transform (QFT) is an important part of many quantum algorithms. However, there are few reports on quantum fractional Fourier transform (QFRFT).
Tieyu Zhao, Tianyu Yang, Yingying Chi
doaj   +1 more source

Quantum Weighted Fractional-Order Transform

Fractal and Fractional, 2023
Quantum Fourier transform (QFT) transformation plays a very important role in the design of many quantum algorithms. Fractional Fourier transform (FRFT), as an extension of the Fourier transform, is particularly important due to the design of its quantum
Tieyu Zhao, Yingying Chi
doaj   +1 more source

Fitting Generalized Tempered Stable distribution: Fractional Fourier Transform (FRFT) Approach

, 2022
The paper investigates the rich class of Generalized Tempered Stable distribution, an alternative to Normal distribution and the $α$-Stable distribution for modelling asset return and many physical and economic systems. Firstly, we explore some important properties of the Generalized Tempered Stable (GTS) distribution.
Nzokem, A. H., Montshiwa, V. T.
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The Solvability of a Class of Convolution Equations Associated with 2D FRFT

Mathematics, 2020
In this paper, the solvability of a class of convolution equations is discussed by using two-dimensional (2D) fractional Fourier transform (FRFT) in polar coordinates. Firstly, we generalize the 2D FRFT to the polar coordinates setting.
Zhen-Wei Li, Wen-Biao Gao, Bing-Zhao Li
doaj   +1 more source

Study on the Mainardi beam through the fractional Fourier transforms system [PDF]

Компьютерная оптика, 2018
In this paper, we introduced the Mainardi beam and indicated its attributes under the Fractional Fourier transform for power variations of Fractional Fourier transform.
Forouzan Habibi , Mohammad Moradi, Alireza Ansari   +2 more
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Gamma variance model: Fractional Fourier Transform (FRFT)

Journal of Physics: Conference Series, 2021
AbstractThe paper examines the Fractional Fourier Transform (FRFT) based technique as a tool for obtaining the probability density function and its derivatives; and mainly for fitting stochastic model with the fundamental probabilistic relationships of infinite divisibility.
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