Sorting photons by radial quantum number [PDF]
The Laguerre-Gaussian (LG) modes constitute a complete basis set for representing the transverse structure of a {paraxial} photon field in free space. Earlier workers have shown how to construct a device for sorting a photon according to its azimuthal LG
Boyd, Robert W. +6 more
core +4 more sources
Low-complexity LSMR equalisation of FrFT-based multicarrier systems in doubly dispersive channels [PDF]
The discrete fractional Fourier transform (FrFT) has been suggested to enhance performance over DFT-based multicarrier systems when transmitting over doubly-dispersive channels.
Solyman, Ahmed +2 more
core +1 more source
Gamma variance model: Fractional Fourier Transform (FRFT)
AbstractThe 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 divisibility.
openaire +1 more source
Enhanced monopulse radar tracking using optimum fractional Fourier transform [PDF]
Conventional monopulse radar processors are used to track a target that appears in the look direction beam width. The distortion produced when additional targets appear in the look direction beam width can cause severe erroneous outcomes from the ...
Elgamel, S. A., Soraghan, J.
core +1 more source
In this paper, a novel scheme for multidepth three dimensional (3D) object authentication is presented based on partial fractional Fourier transform spectrum (FrFT) and phase retrieval technique.
Qu Wang, Deping Xiong, Liang Lei
doaj +1 more source
Time-frequency represetation of radar signals using Doppler-Lag block searching Wigner-Ville distribution [PDF]
Radar signals are time-varying signals where the signal parameters change over time. For these signals, Quadratic Time-Frequency Distribution (QTFD) offers advantages over classical spectrum estimation in terms of frequency and time resolution but it ...
Hamdi, Muhammad Noor Muhammad +1 more
core +3 more sources
Quantum Physics and Signal Processing in Rigged Hilbert Spaces by means of Special Functions, Lie Algebras and Fourier and Fourier-like Transforms [PDF]
Quantum Mechanics and Signal Processing in the line R, are strictly related to Fourier Transform and Weyl-Heisenberg algebra. We discuss here the addition of a new discrete variable that measures the degree of the Hermite functions and allows to obtain ...
Celeghini, Enrico, del Olmo, Mariano A.
core +1 more source
A Novel Doppler Rate Estimator Based on Fractional Fourier Transform for High-Dynamic GNSS Signal
When the fractional Fourier transform (FRFT) is introduced into the weak and high-dynamic global navigation satellite system (GNSS) signal acquisition, the 2-D search cell will be transferred to a 3-D one with respect to the code chip, the Doppler shift,
Yiran Luo +5 more
doaj +1 more source
Discrete Entropic Uncertainty Relations Associated with FRFT
Based on the definition and properties of discrete fractional Fourier transform (DFRFT), we introduced the discrete Hausdorff-Young inequality. Furthermore, the discrete Shannon entropic uncertainty relation and discrete Renyi entropic uncertainty relation were explored.
Guanlei Xu +4 more
openaire +2 more sources
High Speed Dim Air Target Detection Using Airborne Radar under Clutter and Jamming Effects [PDF]
The challenging potential problems associated with using airborne radar in detection of high Speed Maneuvering Dim Target (HSMDT) are the highly noise, jamming and clutter effects.
Almslmany, A. E. +2 more
core +2 more sources

