Discrete Fourier–Laplace Transforms of Lipschitz Functions in the Spaces $$S^{(p,q)}(\sigma ^{m-1})$$
Sign Up to like & getrecommendations! Published in 2021 at "Complex Analysis and Operator Theory"
DOI: 10.1007/s11785-021-01117-3
Abstract: In this paper, we extend the classical Titchmarsh theorem on the image under the discrete Fourier–Laplace transform of a set of functions satisfying a generalized Lipschitz and Dini–Lipschitz condition in the space $$S^{(p,q)}(\sigma ^{m-1})$$ ,… read more here.
Keywords: fourier laplace; laplace transforms; transforms lipschitz; discrete fourier ... See more keywords
Weighted approximation for the generalized discrete Fourier–Jacobi transform on space $$L_{p}({\mathbb {T}})$$
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Pseudo-differential Operators and Applications"
DOI: 10.1007/s11868-020-00368-6
Abstract: The purpose of this work is to prove an analog of the classical Titchmarsh’s theorem (Introduction to the theory of Fourier integrals, Oxford University Press, Oxford, 1937, Theorem 84) and Younis’s Theorem (Fourier transform of… read more here.
Keywords: weighted approximation; jacobi; fourier jacobi; jacobi transform ... See more keywords
An improvement of the generalized discrete Fourier series based patch near-field acoustical holography
Sign Up to like & getrecommendations! Published in 2021 at "Applied Acoustics"
DOI: 10.1016/j.apacoust.2020.107711
Abstract: Abstract Patch near-field acoustic holography (NAH) is an effective tool for reconstructing sound field with a small microphone array. The generalized discrete Fourier series based near-field acoustic holography (GDFS-NAH) is a natural patch NAH method.… read more here.
Keywords: fourier series; generalized discrete; discrete fourier; near field ... See more keywords
Optical shape analysis based on discrete Fourier transform and second-order moment analysis of the brightness distribution for the detection of sub-micron range tracks in nuclear emulsion
Sign Up to like & getrecommendations! Published in 2020 at "Progress of Theoretical and Experimental Physics"
DOI: 10.1093/ptep/ptaa132
Abstract: To recognize sub-micron-range low-energy tracks recorded in a super-fine-grained nuclear emulsion (Nano Imaging Tracker), an elliptical fitting method was devised to analyze anisotropic images taken by an optical microscope. We report on this newly developed… read more here.
Keywords: sub micron; nuclear emulsion; micron range; analysis ... See more keywords
Quaternion Discrete Fourier Transform-Based Color Image Watermarking Method Using Quaternion QR Decomposition
Sign Up to like & getrecommendations! Published in 2020 at "IEEE Access"
DOI: 10.1109/access.2020.2987914
Abstract: In this paper, a new Quaternion Discrete Fourier Transform (QDFT)-based digital color image watermarking method is presented. In addition, the Quaternion QR (QQR) decomposition is applied in digital watermarking technology for the first time. First… read more here.
Keywords: quaternion discrete; decomposition; quaternion; discrete fourier ... See more keywords
Steerable Discrete Fourier Transform
Sign Up to like & getrecommendations! Published in 2017 at "IEEE Signal Processing Letters"
DOI: 10.1109/lsp.2017.2657889
Abstract: 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… read more here.
Keywords: fourier transform; steerable discrete; discrete fourier; dft ... See more keywords
Robust Monotonically Convergent Spatial Iterative Learning Control: Interval Systems Analysis via Discrete Fourier Transform
Sign Up to like & getrecommendations! Published in 2019 at "IEEE Transactions on Control Systems Technology"
DOI: 10.1109/tcst.2018.2868039
Abstract: Additive manufacturing (AM) systems use a layer-by-layer paradigm to build three-dimensional structures. There are myriad of advantages to AM; however, challenges with real-time actuation and sensing relegate AM processes to be largely open-loop processes. In… read more here.
Keywords: discrete fourier; control; learning control; spatial iterative ... See more keywords
First-Fault Detection in DC Distribution With IT Grounding Based on Sliding Discrete Fourier-Transform
Sign Up to like & getrecommendations! Published in 2021 at "IEEE Transactions on Power Electronics"
DOI: 10.1109/tpel.2020.3026985
Abstract: Since dc distribution minimizes the number of power conversion stages, it lowers the overall cost, power losses, and weight of a power system. Critical systems use IT grounding because it is tolerant to the first-fault.… read more here.
Keywords: discrete fourier; sliding discrete; first fault; power ... See more keywords
Fast discrete Fourier transform on local fields of positive characteristic
Sign Up to like & getrecommendations! Published in 2017 at "Problems of Information Transmission"
DOI: 10.1134/s0032946017020041
Abstract: For the discrete Fourier transform with respect to the system of characters of a local field with positive characteristic, we propose a fast algorithm. We find the complexity of the algorithm. read more here.
Keywords: local fields; positive characteristic; fourier transform; transform local ... See more keywords
A new gene tree algorithm employing DNA sequences of bovine genome using discrete Fourier transformation
Sign Up to like & getrecommendations! Published in 2023 at "PLOS ONE"
DOI: 10.1371/journal.pone.0277480
Abstract: Within the realms of human thoughts on nature, Fourier analysis is considered as one of the greatest ideas currently put forwarded. The Fourier transform shows that any periodic function can be rewritten as the sum… read more here.
Keywords: dna; dna sequences; discrete fourier; bovine genome ... See more keywords