Steerable Discrete Fourier Transform [PDF]
IEEE 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 (DFT), called steerable DFT (SDFT ...
Giulia Fracastoro, E. Magli
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Explicit Hermite-type Eigenvectors of the Discrete Fourier Transform [PDF]
SIAM Journal on Matrix Analysis and Applications, 2015 The search for a canonical set of eigenvectors of the discrete Fourier transform has been ongoing for more than three decades. The goal is to find an orthogonal basis of eigenvectors which would approximate Hermite functions---the eigenfunctions of the ...
A. Kuznetsov
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Pseudorandomness via the Discrete Fourier Transform [PDF]
IEEE 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.
Parikshit Gopalan, D. Kane, Raghu Meka
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BFT—Low-Latency Bit-Slice Design of Discrete Fourier Transform
Journal 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
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Discrete Fourier Transform Method for Discrimination of Digital Scintillation Pulses in Mixed Neutron-Gamma Fields [PDF]
IEEE Transactions on Nuclear Science, 2016 A discrete Fourier transform method (DFTM) for discrimination between the signal of neutrons and gamma rays in organic scintillation detectors is presented. The method is based on the transformation of signals into the frequency domain using the sine and
M. Safari +4 more
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The su(2)α Hahn oscillator and a discrete Fourier-Hahn transform [PDF]
, 2011 We define the quadratic algebra su(2)(alpha) which is a one-parameter deformation of the Lie algebra su(2) extended by a parity operator. The odd-dimensional representations of su(2) (with representation label j, a positive integer) can be extended to ...
Jafarov, Elchin +2 more
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METHOD OF OBTAINING THE SPECTRAL CHARACTERISTICS OF THE SCANNING PROBE MICROSCOPE
Informatyka, 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
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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 +2 more
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Implementation of Discrete Fourier Transform And Orthogonal Discrete Wavelet Transform In Python
JISR 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
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Discrete two dimensional Fourier transform in polar coordinates part II: numerical computation and approximation of the continuous transform [PDF]
PeerJ Computer Science, 2020 The theory of the continuous two-dimensional (2D) Fourier Transform in polar coordinates has been recently developed but no discrete counterpart exists to date.
Xueyang Yao, Natalie Baddour
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