Results 41 to 50 of about 744,050 (371)
Holographic interferometry and the fractional Fourier transformation [PDF]
Optics Letters, 2000 The fractional Fourier transform (FRT) is shown to be of potential use in analyzing the motion of a surface by use of holographic interferometry. The extra degree of freedom made available by the use of the FRT allows information regarding both translational and tilting motion to be obtained in an efficient manner.
Sheridan, John T., Patten, Robert
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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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Fractional Fourier transform as a tool for analyzing beam propagation and spherical mirror resonators [PDF]
, 1994 Cataloged from PDF version of article.The complex amplitude distributions on two spherical reference surfaces of given curvature and spacing are simply related by a fractional Fourier transform.
Mendlovic, D., Ozaktas, H. M.
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Sampling and series expansion theorems for fractional Fourier and other transforms [PDF]
, 2003 Cataloged from PDF version of article.We present muchbriefer and more direct and transparent derivations of some sampling and series expansion relations for fractional Fourier and other transforms.
Candan, C., Ozaktas, H. M.
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Computation of the fractional Fourier transform
Applied and Computational Harmonic Analysis, 2004 AbstractIn this paper we make a critical comparison of some Matlab programs for the digital computation of the fractional Fourier transform that are freely available and we describe our own implementation that filters the best out of the existing ones.
Hector Martinez Sulbaran +1 more
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Fractional Fourier Transform- Simulations and experimental results [PDF]
, 1995 Cataloged from PDF version of article.Recently two optical interpretations of the fractional Fourier transform operator were introduced. We address implementation issues of the fractional-Fourier-transform operation. We show that the original bulk-optics
Bitran, Y. +4 more
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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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