Results 261 to 270 of about 13,480 (294)
Some of the next articles are maybe not open access.
A unified framework for the fractional Fourier transform
IEEE Transactions on Signal Processing, 1998The paper investigates the possibility for giving a general definition of the fractional Fourier transform (FRT) for all signal classes [one-dimensional (1-D) and multidimensional, continuous and discrete, periodic and aperiodic]. Since the definition is based on the eigenfunctions of the ordinary Fourier transform (FT), the preliminary conditions is ...
CARIOLARO, GIANFRANCO +3 more
openaire +2 more sources
Fractional fourier transform: photonic implementation
Applied Optics, 1994The family of fractional Fourier transforms permits presentation of a temporal signal not only as a function of time or as a pure frequency function but also as a mixed time and frequency function with a continuous degree of emphasis on time or on frequency features.
A W, Lohmann, D, Mendlovic
openaire +2 more sources
Beamforming using the fractional fourier transform
IEEE Transactions on Signal Processing, 2003We present a new method of beamforming using the fractional Fourier transform (FrFT). This method encompasses the conventional minimum mean-squared error (MMSE) beamforming in the frequency domain or spatial domain as special cases. It is especially useful for applications involving chirp signals such as signal enhancement problems with accelerating ...
Imam Samil Yetik, Arye Nehorai
openaire +1 more source
Fractionalization of Fourier transform
Optics Communications, 1995The conventional definition of fractional-order Fourier transform is demonstrate to be not unique. The same rules can be applied to create a new type of fractional-order Fourier transform which results in a smooth transition of a function when transformed between the real and Fourier spaces.
openaire +1 more source
Fractional Fourier–Jacobi type transform
ANNALI DELL'UNIVERSITA' DI FERRARA, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
The multiple-parameter fractional Fourier transform
Science in China Series F: Information Sciences, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jun Lang +3 more
openaire +1 more source
Deep Fractional Fourier Transform
Advances in Neural Information Processing Systems 36, 2023Hu Yu +4 more
openaire +2 more sources
A class of fractional integral transforms: a generalization of the fractional Fourier transform
IEEE Transactions on Signal Processing, 2002The paper presents a systematic and unified approach to fractional integral transforms. We introduce a new class of fractional integral transforms that includes the fractional Fourier and Hankel transforms and the fractional integration and differentiation operators as special cases. These fractional transforms may also be viewed as angular transforms,
openaire +1 more source
Multiplicity of fractional Fourier transforms and their relationships
IEEE Transactions on Signal Processing, 2000Summary: The multiplicity of the fractional Fourier transform (FRT), which is intrinsic in any fractional operator, has been claimed by several authors, but never systematically developed. The paper starts with a general FRT definition, based on eigenfunctions and eigenvalues of the ordinary Fourier transform, which allows us to generate all possible ...
CARIOLARO, GIANFRANCO +3 more
openaire +3 more sources
A sparse approximation for fractional Fourier transform
Advances in Computational MathematicsThis papers deals with the fractional Fourier transform of the form for \(\alpha\in[-\pi,\pi]\): \[ \wedge_{\alpha}f(\xi) := \int_{\mathbb{R}} K_{\alpha}(x,\xi)f(x)dx, \quad f\in\mathcal{S}(\mathbb{R}), \] where the kernel \(K_{\alpha}(x,\xi)\) is defined as follows \[ K_{\alpha}(x,\xi) := \left\{ \begin{array}{ll} \displaystyle A_{\alpha}\mathrm{exp ...
Fang Yang +3 more
openaire +1 more source