Results 21 to 30 of about 306,865 (270)

Four Particular Cases of the Fourier Transform

Mathematics, 2018
In previous studies we used Laurent Schwartz’ theory of distributions to rigorously introduce discretizations and periodizations on tempered distributions.
Jens V. Fischer
doaj   +1 more source

Coherent optical implementations of the fast Fourier transform and their comparison to the optical implementation of the quantum Fourier transform [PDF]

, 2013
Optical structures to implement the discrete Fourier transform (DFT) and fast Fourier transform (FFT) algorithms for discretely sampled data sets are considered. In particular, the decomposition of the FFT algorithm into the basic Butterfly operations is
Birch, Philip M, Chatwin, Chris R, Young, Rupert C D   +2 more
core   +2 more sources

FPGA Realization of the Observer-Based Sliding Discrete Fourier Transform

IEEE Access, 2022
Discrete Fourier transform (DFT) is a widely used method of signal analysis in digital signal processing. The DFT converts a signal from time domain to frequency domain for further processing.
Peter Plesznik, Zsolt Kollar, Daejin Park   +2 more
doaj   +1 more source

An optical Fourier transform coprocessor with direct phase determination. [PDF]

, 2017
The Fourier transform is a ubiquitous mathematical operation which arises naturally in optics. We propose and demonstrate a practical method to optically evaluate a complex-to-complex discrete Fourier transform.
Gordon, George SD, Macfaden, Alexander J, Wilkinson, Timothy D   +2 more
core   +2 more sources

Matlab Code for the Discrete Hankel Transform

Journal of Open Research Software, 2017
Previous definitions of a Discrete Hankel Transform (DHT) have focused on methods to approximate the continuous Hankel integral transform without regard for the properties of the DHT itself.
Natalie Baddour, Ugo Chouinard
doaj   +1 more source

Steerable Discrete Fourier Transform

, 2017
Directional transforms have recently raised a lot of interest thanks to their numerous applications in signal compression and analysis. In this letter, we introduce a generalization of the discrete Fourier transform, called steerable DFT (SDFT).
Fracastoro, Giulia, Magli, Enrico
core   +1 more source

Uncertainty Relation for the Discrete Fourier Transform [PDF]

, 2008
We derive an uncertainty relation for two unitary operators which obey a commutation relation of the form UV=exp[i phi] VU. Its most important application is to constrain how much a quantum state can be localised simultaneously in two mutually unbiased ...
A. Bandilla, Philippe Spindel, Serge Massar   +2 more
core   +1 more source

Fast complexified quaternion Fourier transform

, 2006
A discrete complexified quaternion Fourier transform is introduced. This is a generalization of the discrete quaternion Fourier transform to the case where either or both of the signal/image and the transform kernel are complex quaternion-valued.
Bihan Stephen, J. Sangwine, Nicolas Le, Salem Said   +3 more
core   +4 more sources

Two-Dimensional Discrete Coupled Fractional Fourier Transform (DCFrFT)

Fractal and Fractional
The fractional Fourier transform is critical in signal processing and supports many applications. Signal processing is one notable application. Implementing the fractional Fourier transform requires discrete versions.
Asma Elshamy, Zeinab S. I. Mansour, Ahmed Zayed   +2 more
doaj   +1 more source

Pseudorandomness via the discrete Fourier transform

, 2015
We present a new approach to constructing unconditional pseudorandom generators against classes of functions that involve computing a linear function of the inputs.
Gopalan, Parikshit, Kane, Daniel, Meka, Raghu   +2 more
core   +1 more source