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Eigenstructure and fractionalization of the quaternion discrete Fourier transform

Optik, 2020
Abstract Quaternion signal processing has found significant application to color image processing and bivariate signal analysis. Among the studies on quaternion transforms, just a few deal with fractionalization and none does so from an eigenstructure analysis point of view.
Guilherme B. Ribeiro, Juliano B. Lima
openaire   +1 more source

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

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  

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
Chien-Cheng Tseng   +2 more
exaly  

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