Results 11 to 20 of about 1,372,895 (290)
On Katugampola Fourier Transform [PDF]
The aim of this article is to introduce a new definition for the Fourier transform. This new definition will be considered as one of the generalizations of the usual (classical) Fourier transform.
Tariq O. Salim +2 more
doaj +3 more sources
A Reverse of the Cauchy-Bunyakovsky-Schwarz Integral Inequality for Complex-Valued Functions and Applications for Fourier Transform [PDF]
A reverse of the Cauchy-Bunyakovsky-Schwarz integral inequality for complex-valued functions and applications for the finite Fourier transform are ...
Hanna, George T +2 more
core +7 more sources
Radar matched filtering using the fractional fourier transform [PDF]
-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 +4 more sources
Error Estimates for Approximating the Fourier Transform of Functions of Bounded Variation [PDF]
In this paper we point out an approximation for the Fourier transform for functions of bounded variation and study the approximation error of certain associated quadrature ...
Hanna, George T +2 more
core +4 more sources
On the Clifford-Fourier Transform [PDF]
For functions that take values in the Clifford algebra, we study the Clifford-Fourier transform on $R^m$ defined with a kernel function $K(x,y) := e^{\frac{i π}{2} Γ_{y}}e^{-i }$, replacing the kernel $e^{i }$ of the ordinary Fourier transform, where $Γ_{y} := - \sum_ ...
De Bie, Hendrik, Xu, Yuan
openaire +3 more sources
Applications of Fourier transform infrared spectroscopy [PDF]
Podeu consultar el llibre complet a: http://hdl.handle.net/2445/32166This article summarizes the basic principles of Fourier Transform Infrared Spectroscopy, with examples of methodologies and applications to different field ...
Ferrer i Felis, Núria
core +4 more sources
Error Estimates on Approximating the Finite Fourier Transform of Complex-Valued Functions via a Pre-Grüss Inequality [PDF]
Some estimates for the error in approximating the Finite Fourier Transform in terms of exponential means via a pre-Grüss inequality for complex-valued functions are ...
Hanna, George T +2 more
core +3 more sources
Transformer architectures show spectacular performance on NLP tasks and have recently also been used for tasks such as image completion or image classification. Here we propose to use a sequential image representation, where each prefix of the complete sequence describes the whole image at reduced resolution. Using such Fourier Domain Encodings (FDEs),
Tim-Oliver Buchholz, Florian Jug
openaire +2 more sources
A Didactic and Visual Approach to the Fourier Transform
This work provides a comprehensive derivation of the Fourier transform, with less emphasis on the mathematical rigor associated with the theory. Instead, its primary goal is to serve as a didactic resource that fosters an understanding of various ...
Daniel José Kmita +1 more
doaj +1 more source

