Results 11 to 20 of about 42,784 (333)
The discrete fractional Fourier transform [PDF]
IEEE Transactions on Signal Processing, 2000 Summary: We propose and consolidate a definition of the discrete fractional Fourier transform that generalizes the discrete Fourier transform (DFT) in the same sense that the continuous fractional Fourier transform generalizes the continuous ordinary Fourier transform.
Çağatay Candan +2 more
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Fractional Fourier Transform [PDF]
2001 European Control Conference (ECC), 2010 Chapter ...
Ozaktas, Haldun M. +2 more
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Fractional Fourier Transform Meets Transformer Encoder
IEEE Signal Processing Letters, 2022 Utilizing signal processing tools in deep learning models has been drawing increasing attention. Fourier transform (FT), one of the most popular signal processing tools, is employed in many deep learning models. Transformer-based sequential input processing models have also started to make use of FT.
Furkan Sahinuc, Aykut Koc
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Simplified fractional Fourier transforms [PDF]
Journal of the Optical Society of America A, 2000 The fractional Fourier transform (FRFT) has been used for many years, and it is useful in many applications. Most applications of the FRFT are based on the design of fractional filters (such as removal of chirp noise and the fractional Hilbert transform) or on fractional correlation (such as scaled space-variant pattern recognition).
Pei, Soo-Chang, Ding, Jian-Jiun
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The Fractional Clifford-Fourier Transform [PDF]
Complex Analysis and Operator Theory, 2012 17 pages, accepted for publication in Complex Anal.
De Bie, Hendrik, De Schepper, Nele
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Self Fourier functions and fractional Fourier transforms [PDF]
Optics Communications, 1993 The Fourier transform is perhaps the most important analytical tool in wave optics. Hence Fourier-related concepts are likely to have an important on optics. We will likely recall two novel concepts and then show how they are interrelated. A self-Fourier function (SFF) [1,2] is a function whose Fourier transform is identical to itself.
Mendlovic, D. +2 more
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Exact Relation Between Continuous and Discrete Linear Canonical Transforms [PDF]
, 2009 —Linear canonical transforms (LCTs) are a family of integral transforms with wide application in optical, acoustical, electromagnetic, and other wave propagation problems. The Fourier and fractional Fourier transforms are special cases of LCTs.
Figen S. Oktem, Haldun M. Ozaktas
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Mellin transform for fractional integrals with general analytic kernel
AIMS Mathematics, 2022 Many different operators of fractional calculus have been proposed, which can be organized in some general classes of operators. According to this study, the class of fractional integrals and derivatives can be classified into two main categories, that ...
Maliha Rashid +5 more
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Invariant Image Representation Using Novel Fractional-Order Polar Harmonic Fourier Moments
Sensors, 2021 Continuous orthogonal moments, for which continuous functions are used as kernel functions, are invariant to rotation and scaling, and they have been greatly developed over the recent years.
Chunpeng Wang +5 more
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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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