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Multiuser communication based on the discrete fractional fourier transform

2012 IEEE International Conference on Communications (ICC), 2012
In this paper, a multiuser communication technique based on the discrete fractional Fourier transform (DFrFT) is discussed. Eigenvectors of the DFrFT transform matrix are used as user sequences, which are transmitted over a real adder channel. Compared to other transforms used in the same context, the advantage of using the DFrFT is that the sequences ...
Juliano B. Lima   +2 more
openaire   +1 more source

A Discrete Fractional Fourier Transform

2019
Some properties of the XFT as a discrete fractional Fourier transform and as a linear canonical transform are given in this chapter. The eigenvectors of the discrete fractional Fourier transform are obtained and the discrete canonical coherent states are studied.
openaire   +1 more source

An Algorithm for Computing the True Discrete Fractional Fourier Transform

2018
This paper proposes an algorithm for computing the discrete fractional Fourier transform. This algorithm takes advantages of a special structure of the discrete fractional Fourier transformation matrix. This structure allows to reduce the number of arithmetic operations required to calculate the discrete fractional Fourier transform.
Dorota Majorkowska-Mech   +1 more
openaire   +1 more source

Discrete Fourier Transforms of Fractional Processes [PDF]

open access: possible, 1999
Discrete Fourier transforms (dft's) of fractional processes are studied and an exact representation of the dft is given in terms of the component data. The new representation gives the frequency domain form of the model for a fractional process, and is particularly useful in analyzing the asymptotic behavior of the dft and periodogram in the ...
openaire  

Discrete Fractional Fourier Transform Based on New Nearly Tridiagonal Commuting Matrices

IEEE Transactions on Signal Processing, 2006
Jian-Jiun Ding
exaly  

The discrete fractional Fourier transform

IEEE Transactions on Signal Processing, 2000
Cagatay Candan, H M Ozaktas
exaly  

A new discrete fractional Fourier transform based on constrained eigendecomposition of DFT matrix by Lagrange multiplier method

IEEE Transactions on Circuits and Systems Part 2: Express Briefs, 1999
Soo-Chang Pei   +2 more
exaly  

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