Results 111 to 120 of about 2,662 (145)

Refuting `a new theory for X-ray diffraction' - a reciprocal-space approach. [PDF]

open access: yesActa Crystallogr A Found Adv
Vlieg E, Tinnemans P, de Gelder R.
europepmc   +1 more source

The hopping discrete fractional Fourier transform

Signal Processing, 2021
Abstract The discrete fractional Fourier transform (DFrFT) is a powerful signal processing tool for non-stationary signals. Many types of DFrFT have been derived and successful used in different areas. However, for real-time applications that require recalculating the DFrFT at each or several samples, the existing discrete algorithms aren’t the ...
Yu Liu   +3 more
openaire   +1 more source

Fractional discrete Fourier transforms

Optics Letters, 1996
Direct calculation of fractional Fourier transforms from the expressions derived for their optical implementation is laborious. An extension of the discrete Fourier transform would have only O(N(2)) computational complexity. We define such a system, offer a general way to compute the fractional discrete Fourier transform matrix, and numerically ...
Z T, Deng   +2 more
openaire   +2 more sources

Random Discrete Fractional Fourier Transform

IEEE Signal Processing Letters, 2009
In this letter, a new commuting matrix with random discrete Fourier transform (DFT) eigenvectors is first constructed. A random discrete fractional Fourier transform (RDFRFT) kernel matrix with random DFT eigenvectors and eigenvalues is then proposed.
null Soo-Chang Pei, null Wen-Liang Hsue
openaire   +1 more source

A novel discrete fractional Fourier transform

2001 CIE International Conference on Radar Proceedings (Cat No.01TH8559), 2002
The definition of the fractional Fourier transform (FRFT) is described. Several discrete FRFT methods developed previously are reviewed briefly. A novel discretization method for FRFT is presented in this paper. It has some advantages such as being easily understood and implemented compared with the previous DFRFT methods.
null Tao Ran   +3 more
openaire   +1 more source

Discrete fractional Hartley and Fourier transforms

IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing, 1998
Summary: This paper is concerned with the definitions of the discrete fractional Hartley transform (DFRHT) and the discrete fractional Fourier transform (DFRFT). First, the eigenvalues and eigenvectors of the discrete Fourier and Hartley transform matrices are investigated. Then, the results of the eigendecompositions of the transform matrices are used
Pei, Soo-Chang   +3 more
openaire   +1 more source

Sliding 2D Discrete Fractional Fourier Transform

IEEE Signal Processing Letters, 2019
The two-dimensional discrete fractional Fourier transform (2D DFrFT) has been shown to be a powerful tool for 2D signal processing. However, the existing discrete algorithms aren't the optimal for real-time applications, where the input signals are stream data arriving in a sequential manner. In this letter, a new sliding algorithm is proposed to solve
Yu Liu   +3 more
openaire   +1 more source

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