Results 31 to 40 of about 250,706 (309)
On the class of uncertainty inequalities for the coupled fractional Fourier transform
Journal of Inequalities and Applications, 2022 The coupled fractional Fourier transform F α , β $\mathcal {F}_{\alpha ,\beta}$ is a two-dimensional fractional Fourier transform depending on two angles α and β, which are coupled in such a way that the transform parameters are γ = ( α + β ) / 2 $\gamma
Firdous A. Shah +3 more
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Digital computation of the fractional Fourier transform [PDF]
IEEE Transactions on Signal Processing, 1996 An algorithm for efficient and accurate computation of the fractional Fourier transform is given. For signals with time-bandwidth product N, the presented algorithm computes the fractional transform in O(NlogN) time. A definition for the discrete fractional Fourier transform that emerges from our analysis is also discussed.
Ozaktas, H. M. +3 more
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Cauchy representation of fractional Fourier transform for Boehmians
Boletim da Sociedade Paranaense de Matemática, 2018 Results relating to fractional Fourier transform and their properties in the Lizorkin space are employed in this paper to investigate the Cauchy representation of fractional Fourier transform for integrable Boehmians.
Abhishek Singh, P. K. Banerji
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Discrete Quadratic-Phase Fourier Transform: Theory and Convolution Structures
Entropy, 2022 The discrete Fourier transform is considered as one of the most powerful tools in digital signal processing, which enable us to find the spectrum of finite-duration signals.
Hari M. Srivastava +3 more
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Parseval Relationship of Samples in the Fractional Fourier Transform Domain
Journal of Applied Mathematics, 2012 This paper investigates the Parseval relationship of samples associated with the fractional Fourier transform. Firstly, the Parseval relationship for uniform samples of band-limited signal is obtained.
Bing-Zhao Li, Tian-Zhou Xu
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Image Correlation Using Fractional Hermite Transform
IEEE Access, 2020 In this paper, we generalize the Hermite transform into a fractional case using the fractional Fourier transform and the fractional convolution. The new methodology was evaluated using phytoplankton images with different illumination patterns and ...
Alfredo Castro-Valdez +1 more
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Fractional Fourier transform and geometric quantization
Journal of Geometry and Physics, 2012 Generalized Fourier transformation between the position and the momentum representation of a quantum state is constructed in a coordinate independent way. The only ingredient of this construction is the symplectic (canonical) geometry of the phase-space: no linear structure is necessary.
Jerzy Kijowski, Witold Chmielowiec
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Advanced Materials Interfaces, EarlyView., 2023 This review discusses the use of Surface‐Enhanced Raman Spectroscopy (SERS) combined with Artificial Intelligence (AI) for detecting antimicrobial resistance (AMR). Various SERS studies used with AI techniques, including machine learning and deep learning, are analyzed for their advantages and limitations.
Zakarya Al‐Shaebi +4 more
wiley +1 more source
Identification of Sonar Detection Signal Based on Fractional Fourier Transform
Polish Maritime Research, 2018 Aiming at the source of underwater acoustic emission, in order to identify the enemy emission sonar source accurately. Using the digital watermarking technology and combining with the good time-frequency characteristics of fractional Fourier transform ...
Biao Wang +3 more
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Unlimited Sampling Theorem Based on Fractional Fourier Transform
Fractal and Fractional, 2023 The recovery of bandlimited signals with high dynamic range is a hot issue in sampling research. The unlimited sampling theory expands the recordable range of traditional analog-to-digital converters (ADCs) arbitrarily, and the signal is folded back into
Hui Zhao, Bing-Zhao Li
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