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Discrete fourier transform on multicore [PDF]

open access: yesIEEE Signal Processing Magazine, 2009
This article gives an overview on the techniques needed to implement the discrete Fourier transform (DFT) efficiently on current multicore systems. The focus is on Intel-compatible multicores, but we also discuss the IBM Cell and, briefly, graphics processing units (GPUs).
Franz Franchetti   +4 more
openaire   +1 more source

BFT—Low-Latency Bit-Slice Design of Discrete Fourier Transform

open access: yesJournal of Low Power Electronics and Applications, 2023
Structures for the evaluation of fast Fourier transforms are important components in several signal-processing applications and communication systems. Their capabilities play a key role in the performance enhancement of the whole system in which they are
Cataldo Guaragnella   +2 more
doaj   +1 more source

The discrete fractional Fourier transform [PDF]

open access: yesIEEE Transactions on Signal Processing, 1999
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.
Cagatay Candan   +2 more
openaire   +5 more sources

On computing the Discrete Fourier Transform [PDF]

open access: yesProceedings of the National Academy of Sciences, 1976
New algorithms for computing the Discrete Fourier Transform of n points are described. For n in the range of a few tens to a few thousands these algorithms use substantially fewer multiplications than the best algorithm previously known, and about the ...
openaire   +3 more sources

Steerable Discrete Fourier Transform [PDF]

open access: yesIEEE Signal Processing Letters, 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). Since the DFT is used in numerous fields, it may be of interest in a wide range of applications.
FRACASTORO, GIULIA, MAGLI, ENRICO
openaire   +3 more sources

Discrete Fourier transform as a basis for steganographic method

open access: yesTrudy Odesskogo Politehničeskogo Universiteta, 2014
Actuality of developing of new steganographic methods doesn’t cause doubts due to the rapid development of information technologies and considerable minuses of existing steganomethods.
Maria O. Kozina
doaj   +7 more sources

METHOD OF OBTAINING THE SPECTRAL CHARACTERISTICS OF THE SCANNING PROBE MICROSCOPE

open access: yesInformatyka, Automatyka, Pomiary w Gospodarce i Ochronie Środowiska, 2021
The article discusses methods and algorithms for digital processing and filtering when carrying out nano-measurements using a scanning probe microscope.
Mariia Kataieva, Vladimir Kvasnikov
doaj   +1 more source

Implementation of Discrete Fourier Transform And Orthogonal Discrete Wavelet Transform In Python

open access: yesJISR on Computing, 2016
This paper presents implementation of Discrete Fourier Transform and Orthogonal Discrete Wavelet Transform in Python computer programming language. The Fourier Transform is a fundamental signal processing tool whereas the Wavelet Transform is a powerful
Tariq Javid Ali   +4 more
doaj   +1 more source

Pseudorandomness via the Discrete Fourier Transform [PDF]

open access: yes2015 IEEE 56th Annual Symposium on Foundations of Computer Science, 2015
We present a new approach to constructing unconditional pseudorandom generators against classes of functions that involve computing a linear function of the inputs. We give an explicit construction of a pseudorandom generator that fools the discrete Fourier transforms of linear functions with seed-length that is nearly logarithmic (up to polyloglog ...
Gopalan, Parikshit   +2 more
openaire   +5 more sources

Eigenvectors of the Discrete Fourier Transform Based on the Bilinear Transform

open access: yesEURASIP Journal on Advances in Signal Processing, 2010
Determining orthonormal eigenvectors of the DFT matrix, which is closer to the samples of Hermite-Gaussian functions, is crucial in the definition of the discrete fractional Fourier transform.
Serbes Ahmet, Durak-Ata Lutfiye
doaj   +2 more sources

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