Discrete Quadratic-Phase Fourier Transform: Theory and Convolution Structures
Entropy, 2022 The discrete Fourier transform is considered as one of the most powerful tools in digital signal processing, which enable us to find the spectrum of finite-duration signals.
Hari M. Srivastava +3 more
doaj +1 more source
Fourier transforming a trapped Bose-Einstein condensate by waiting a quarter of the trap period: simulation and applications [PDF]
, 2006 We investigate the property of isotropic harmonic traps to Fourier transform a weakly interacting Bose–Einstein condensate (BEC) every quarter of a trap period.
Ohberg, Patrik; id_orcid +5 more
core +1 more source
Parseval Relationship of Samples in the Fractional Fourier Transform Domain
Journal of Applied Mathematics, 2012 This paper investigates the Parseval relationship of samples associated with the fractional Fourier transform. Firstly, the Parseval relationship for uniform samples of band-limited signal is obtained.
Bing-Zhao Li, Tian-Zhou Xu
doaj +1 more source
SAR Traffic Monitoring Using Time-Frequency Analysis for Detection and Parameter Estimation [PDF]
, 2008 In recent years many powerful techniques and algorithms for joint time-frequency analysis have been developed and successfully applied to ISAR imaging and SAR ground moving target indication (GMTI).
Stefan V. Baumgartner +3 more
core +1 more source
Image Correlation Using Fractional Hermite Transform
IEEE Access, 2020 In this paper, we generalize the Hermite transform into a fractional case using the fractional Fourier transform and the fractional convolution. The new methodology was evaluated using phytoplankton images with different illumination patterns and ...
Alfredo Castro-Valdez +1 more
doaj +1 more source
The Periodogram of fractional processes [PDF]
, 2007 We analyse asymptotic properties of the discrete Fourier transform and the periodogram of time series obtained through (truncated) linear filtering of stationary processes.
Velasco Gómez, Carlos +2 more
core +1 more source
Two-Dimensional Discrete Coupled Fractional Fourier Transform (DCFrFT)
Fractal and FractionalThe 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 +2 more
doaj +1 more source
Identification of Sonar Detection Signal Based on Fractional Fourier Transform
Polish Maritime Research, 2018 Aiming at the source of underwater acoustic emission, in order to identify the enemy emission sonar source accurately. Using the digital watermarking technology and combining with the good time-frequency characteristics of fractional Fourier transform ...
Biao Wang +3 more
doaj +1 more source
Holographic interferometry and the fractional Fourier transformation [PDF]
Optics Letters, 2000 The fractional Fourier transform (FRT) is shown to be of potential use in analyzing the motion of a surface by use of holographic interferometry. The extra degree of freedom made available by the use of the FRT allows information regarding both translational and tilting motion to be obtained in an efficient manner.
Sheridan, John T., Patten, Robert
openaire +4 more sources
Evolutionarily divergent DUF4465 domains have a common vitamin B12‐binding function
FEBS Open Bio, EarlyView.We show that DUF4465 family proteins, widespread across bacteria from gut microbiomes, hydrothermal vents, and soil, share a common vitamin B12‐binding function. These augmented β‐jellyroll proteins bind vitamin B12 via extended loops. Our findings establish sequence‐diverse DUF4465 proteins as a widespread class of B12‐binding proteins, highlighting ...
Charlea Clarke +4 more
wiley +1 more source