Results 41 to 50 of about 521,797 (371)
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
Uniqueness results for the phase retrieval problem of fractional Fourier transforms of variable order [PDF]
, 2010 In this paper, we investigate the uniqueness of the phase retrieval problem for the fractional Fourier transform (FrFT) of variable order. This problem occurs naturally in optics and quantum physics.
Jaming, Philippe
core +3 more sources
Anamorphic Fractional Fourier Transforming--Optical Implementation and Applications [PDF]
, 1995 Cataloged from PDF version of article.An additional degree of freedom is introduced to fractional-Fourier-transform systems by use of anamorphic optics. A different fractional Fourier order along the orthogonal principal directions is performed.
Bitran, Y. +5 more
core +1 more source
Gamma variance model: Fractional Fourier Transform (FRFT)
, 2021 The paper examines the Fractional Fourier Transform (FRFT) based technique as a tool for obtaining the probability density function and its derivatives; and mainly for fitting stochastic model with the fundamental probabilistic relationships of infinite ...
A H nzokem
semanticscholar +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
Fractional Fourier Transform- Simulations and experimental results [PDF]
, 1995 Cataloged from PDF version of article.Recently two optical interpretations of the fractional Fourier transform operator were introduced. We address implementation issues of the fractional-Fourier-transform operation. We show that the original bulk-optics
Bitran, Y. +4 more
core +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
Exact Relation Between Continuous and Discrete Linear Canonical Transforms [PDF]
, 2009 —Linear canonical transforms (LCTs) are a family of integral transforms with wide application in optical, acoustical, electromagnetic, and other wave propagation problems. The Fourier and fractional Fourier transforms are special cases of LCTs.
Figen S. Oktem, Haldun M. Ozaktas
core +1 more source
Improved discrete fractional Fourier transform [PDF]
Optics Letters, 1997 The fractional Fourier transform is a useful mathematical operation that generalizes the well-known continuous Fourier transform. Several discrete fractional Fourier transforms (DFRFT's) have been developed, but their results do not match those of the continuous case. We propose a new DFRFT.
S C, Pei, M H, Yeh
openaire +2 more sources
Visual Recovery Reflects Cortical MeCP2 Sensitivity in Rett Syndrome
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Rett syndrome (RTT) is a devastating neurodevelopmental disorder with developmental regression affecting motor, sensory, and cognitive functions. Sensory disruptions contribute to the complex behavioral and cognitive difficulties and represent an important target for therapeutic interventions.
Alex Joseph Simon +12 more
wiley +1 more source