Results 21 to 30 of about 472,688 (313)

A reverse of the Cauchy-Bunyakovsky-Schwarz integral inequality for complex-valued functions and applications for Fourier transform [PDF]

open access: yes, 2004
A reverse of the Cauchy-Bunyakovsky-Schwarz integral inequality for complex-valued functions and applications for the finite Fourier transform are ...
Hanna, George T   +5 more
core   +1 more source

Design and Simulation of a Low-Power and High-Speed Fast Fourier Transform for Medical Image Compression

open access: yesEngineering Proceedings, 2023
For front-end wireless applications in small battery-powered devices, discrete Fourier transform (DFT) is a critical processing method for discrete time signals. Advanced radix structures are created to reduce the impact of transistor malfunction.
Ernest Ravindran Ramaswami Sachidanandan   +2 more
doaj   +1 more source

Fourier Image Transformer

open access: yes2022 IEEE/CVF Conference on Computer Vision and Pattern Recognition Workshops (CVPRW), 2022
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

Circuit of Quantum Fractional Fourier Transform

open access: yesFractal and Fractional, 2023
In this paper, we first use the quantum Fourier transform (QFT) and quantum phase estimation (QPE) to realize the quantum fractional Fourier transform (QFrFT).
Tieyu Zhao, Yingying Chi
doaj   +1 more source

Cortical Specification of a Fast Fourier Transform Supports a Convolution Model of Visual Perception [PDF]

open access: yes, 2012
Currently, the full extent of the role Fourier analysis plays in biological vision is unclear. Although we have examples of sensory organs that perform Fourier transforms, e.g.
Phillip Sheridan, Sheridan, Phillip
core   +1 more source

Some Essential Relations for the Quaternion Quadratic-Phase Fourier Transform

open access: yesMathematics, 2023
Motivated by the fact that the quaternion Fourier transform is a powerful tool in quaternion signal analysis, here, we study the quaternion quadratic-phase Fourier transform, which is a generalized version of the quaternion Fourier transform.
Mawardi Bahri   +1 more
doaj   +1 more source

Fourier and Inverse Fourier Transform Model for Delayed Self-interferometry System

open access: yesIEEE Photonics Journal, 2020
Understanding the effects of laser phase and frequency noise on laser interferometry is significant for evaluating the system performance. To precisely study the performance limit caused by laser frequency noise, here we propose and demonstrate a ...
Ling Zhang   +8 more
doaj   +1 more source

New Algorithm for Real-Valued Fourier Transform

open access: yesTikrit Journal of Engineering Sciences, 2023
This paper presents a direct algorithm for fast real discrete Fourier transform (RDFT) computing, using the discrete Fourier transform (DFT) conjugate symmetric property to reduce redundancies.
Sukaina K. Salih, Mounir T. Hamood
doaj   +1 more source

Nuclear Fourier Transforms

open access: yesJournal of Fourier Analysis and Applications, 2023
AbstractThe paper deals with the problem under which conditions for the parameters $$s_1,s_2\in \mathbb R$$ s 1 , s 2 ∈
Dorothee D. Haroske   +2 more
openaire   +2 more sources

Large-Scale Discrete Fourier Transform on TPUs

open access: yesIEEE Access, 2021
In this work, we present two parallel algorithms for the large-scale discrete Fourier transform (DFT) on Tensor Processing Unit (TPU) clusters. The two parallel algorithms are associated with two DFT formulations: one formulation, denoted as KDFT, is ...
Tianjian Lu   +4 more
doaj   +1 more source

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