Results 301 to 310 of about 89,376 (355)

Discrete and finite fractional Fourier transforms

Frontiers in Optics, 2003
Finite models for oscillator or waveguide systems provide corresponding fractional Fourier-type transforms between finite arrays of ‘sensor’ points. The kernel matrices are unitary and are well-known in group theory; they involve the discrete polynomials of Kravchuk, q-Kravchuk, Meixner and Hahn.
openaire   +1 more source

Fractional discreteq-Fourier transforms

Journal of Physics A: Mathematical and Theoretical, 2009
The discrete Fourier transform (DFT) matrix has a manifold of fractionalizations that depend on the choice of its eigenbases. One prominent basis is that of Mehta functions; here we examine a family of fractionalizations of the DFT stemming from q-extensions of this basis.
Carlos A Muñoz, J Rueda-Paz, Kurt Bernardo Wolf   +2 more
openaire   +1 more source

Dual Mode Multicarrier Communication System Based on Discrete Fractional Cosine Transform and Discrete Fourier Transform

2022 International Engineering Conference on Electrical, Energy, and Artificial Intelligence (EICEEAI), 2022
In a static channel, using a single-tap equalizer to eliminate inter-symbol-interference (ISI) and channel distortion makes multicarrier systems like Discrete Fourier Transform orthogonal frequency division multiplexing (DFT- OFDM) so attractive ...
A. Solyman, Taisir Ismail, Hani H. Attar
semanticscholar   +1 more source

Image steganography using discrete fractional Fourier transform

2013 International Conference on Intelligent Systems and Signal Processing (ISSP), 2013
The Fractional Fourier transform (FrFT), as a generalization of the classical Fourier transform, was introduced many years ago in mathematics literature. For the enhanced computation of fractional Fourier transform, discrete version of FrFT came into existence i.e. DFrFT.
A. Soni, J. Jain, R. Roshan
openaire   +1 more source

A two-dimensional discrete fractional Fourier transform-based pansharpening scheme

International Journal of Remote Sensing, 2019
In this paper, a new approach for fusion of multi-spectral (MS) and panchromatic (Pan) images based on 2D-discrete fractional Fourier transform (2D-DFRFT) is proposed.
Nidhi Saxena, Kamalesh Kumar Sharma
semanticscholar   +1 more source

The discrete multiple-parameter fractional Fourier transform

Science China Information Sciences, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lang, Jun, Tao, Ran, Wang, Yue
openaire   +1 more source

FPGA implementation of discrete fractional Fourier transform

2010 International Conference on Signal Processing and Communications (SPCOM), 2010
Since decades, fractional Fourier transform has taken a considerable attention for various applications in signal and image processing domain. On the evolution of fractional Fourier transform and its discrete form, the real time computation of discrete fractional Fourier transform is essential in those applications.
M. V. N. V. Prasad, K. C. Ray, A. S. Dhar   +2 more
openaire   +1 more source

Orthogonal Projections and Discrete Fractional Fourier Transforms

2006 IEEE 12th Digital Signal Processing Workshop & 4th IEEE Signal Processing Education Workshop, 2006
A summary of results from linear algebra pertaining to orthogonal projections onto subspaces of an inner product space is presented. A formal definition and a sufficient condition for the existence of a fractional transform given a unitary periodic operator is given. Next, using an orthogonal projection formula the class of weighted discrete fractional
M. Ozaydin, S. Nemati, M. Yeary, V. DeBrunner   +3 more
openaire   +1 more source

Optimal Joint Design of Discrete Fractional Fourier Transform Matrices and Mask Coefficients for Multichannel Filtering in Fractional Fourier Domains

IEEE Transactions on Signal Processing, 2018
The concept of mask operation in fractional Fourier domains is a generalization of the conventional Fourier-based filtering in the frequency domain.
Xiao-Zhi Zhang, B. Ling, H. H. Dam, K. Teo, Changzhi Wu   +4 more
semanticscholar   +1 more source

The Fractional Discrete Fourier Transform

1999
A fractional version of the Discrete Fourier Transform or DFT, denoted by the Fractional Discrete Fourier Transform or FDFT for short, is discussed here. First, results of a fractional version of the continuous-time Fourier Transform or CTFT are explored and then parallels are made between the DFT and the CTFT.
openaire   +1 more source