Results 31 to 40 of about 744,050 (371)

A Spectral–Spatial Method Based on Fractional Fourier Transform and Collaborative Representation for Hyperspectral Anomaly Detection

open access: yesIEEE Geoscience and Remote Sensing Letters, 2021
Anomaly detection (AD) is one of the most important tasks in hyperspectral image (HSI) processing. Most of the traditional AD methods fail to take the advantage of rich spatial information of HSIs and suffer the problem of noise contamination.
C. Zhao, Chuang Li, Shou Feng
semanticscholar   +1 more source

On fractional Fourier transform moments [PDF]

open access: yesIEEE Signal Processing Letters, 2000
Based on the relation between the ambiguity function represented in a quasi-polar coordinate system and the fractional power spectra, the fractional Fourier transform moments are introduced. Important equalities for the global second-order fractional Fourier transform moments are derived and their applications for signal analysis are discussed.
MJ Martin Bastiaans, Tatiana Alieva
openaire   +3 more sources

Weak Target Detection in the Presence of Sea Clutter Using Radon-Fractional Fourier Transform Canceller

open access: yesIEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing, 2021
In this article, we propose a new weak maneuvering target detection method in a sea environment with a Radon-fractional Fourier transform (RFrFT) canceller, which can efficiently suppress the sea clutter and detect targets with low computations.
Chang Gao, R. Tao, Xuejing Kang
semanticscholar   +1 more source

The discrete fractional Fourier transformation [PDF]

open access: yesProceedings of Third International Symposium on Time-Frequency and Time-Scale Analysis (TFTS-96), 2002
Based on the fractional Fourier transformation of sampled periodic functions, the discrete form of the fractional Fourier transformation is obtained. It is found that for a certain dense set of fractional orders it is possible to define a discrete transformation. Also, for its efficient computation a fast algorithm, which has the same complexity as the
Arıkan, Orhan   +3 more
openaire   +3 more sources

Clifford algebras, Fourier transforms and quantum mechanics [PDF]

open access: yes, 2012
In this review, an overview is given of several recent generalizations of the Fourier transform, related to either the Lie algebra sl_2 or the Lie superalgebra osp(1|2).
De Bie, Hendrik
core   +2 more sources

Quantum Weighted Fractional-Order Transform

open access: yesFractal 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

Radar matched filtering using the fractional fourier transform [PDF]

open access: yes, 2010
-A matched filter is the optimal linear filter for maximizing the signal to noise ratio (SNR) in the presence of additive noise. Matched filters are commonly used in radar systems where the transmitted signal is known and may be used as a replica to be ...
Clemente, Carmine   +2 more
core   +1 more source

the fractional fourier transform and harmonic oscillation [PDF]

open access: yesNonlinear Dynamics, 2002
The ath-order fractional Fourier transform is a generalization ofthe ordinary Fourier transform such that the zeroth-order fractionalFourier transform operation is equal to the identity operation and thefirst-order fractional Fourier transform is equal to the ordinaryFourier transform.
Kutay M.A., Ozaktas H.M.
openaire   +4 more sources

Novel Fractional Wavelet Transform with Closed-Form Expression [PDF]

open access: yes, 2014
yesA new wavelet transform (WT) is introduced based on the fractional properties of the traditional Fourier transform. The new wavelet follows from the fractional Fourier order which uniquely identifies the representation of an input function in a ...
Abd-Alhameed, Raed A.   +4 more
core   +2 more sources

Uniqueness results for the phase retrieval problem of fractional Fourier transforms of variable order [PDF]

open access: yes, 2010
In this paper, we investigate the uniqueness of the phase retrieval problem for the fractional Fourier transform (FrFT) of variable order. This problem occurs naturally in optics and quantum physics.
Jaming, Philippe
core   +3 more sources

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