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Eigenvectors of the DFT and discrete fractional fourier transform based on the bilinear transform
2010 IEEE 18th Signal Processing and Communications Applications Conference, 2010Orthonormal eigenvectors of the DFT matrix, which is closer to the samples of Hermite-Gaussian functions, are crucial to define the discrete fractional Fourier transform. In this work we determine the eigenvectors of the DFT matrix inspired by the bilinear transform.
Ahmet Serbes, Lutfiye Durak Ata
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Discrete Fractional Fourier Transforms Based on Closed-Form Hermite–Gaussian-Like DFT Eigenvectors
IEEE Transactions on Signal Processing, 2017In this paper, we construct discrete fractional Fourier transforms (DFrFT) using recently introduced closed-form Hermite–Gaussian-like (HGL) eigenvectors. With respect to such eigenvectors, we discuss the convergence of their components to samples of the corresponding continuous Hermite–Gaussian functions and propose solutions to deal with some ...
Jose R. de Oliveira Neto +1 more
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Proceedings. 1998 IEEE International Conference on Information Technology Applications in Biomedicine, ITAB '98 (Cat. No.98EX188), 2002
This paper presents a high performance frequency domain filter implementation for a moving window-type processing. The computational structure consists of three stages: a sliding discrete Fourier transform (SDFT) for a vectorized updating of the DFT; a frequency domain filter; and a one-point inverse discrete Fourier transform (IDFT).
null Wen Zhuo, E. Micheli-Tzanakou
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This paper presents a high performance frequency domain filter implementation for a moving window-type processing. The computational structure consists of three stages: a sliding discrete Fourier transform (SDFT) for a vectorized updating of the DFT; a frequency domain filter; and a one-point inverse discrete Fourier transform (IDFT).
null Wen Zhuo, E. Micheli-Tzanakou
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Properties of the Discrete Fourier Transform (DFT)
1977This paper will be divided into two parts. The first is intended as a companion to a tutorial session on those basic properties of the DFT which lead to Fast Fourier Transform algorithms. The second part will range more widely, in particular considering ways in which certain less well-known properties of the DFT could be turned to practical use.
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IEEE Transactions on Sustainable Energy, 2014
This paper proposes a method for coordinated sizing of energy storage (ES) and diesel generators in an isolated microgrid based on discrete Fourier transform (DFT). ES and diesel generators have different response characteristics and can complementarily compensate the generation-demand imbalance at different time scales.
Jun Xiao +4 more
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This paper proposes a method for coordinated sizing of energy storage (ES) and diesel generators in an isolated microgrid based on discrete Fourier transform (DFT). ES and diesel generators have different response characteristics and can complementarily compensate the generation-demand imbalance at different time scales.
Jun Xiao +4 more
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Measurement of time delay using the time shift property of the discrete Fourier transform (DFT)
IEEE Transactions on Acoustics, Speech, and Signal Processing, 1986The time shift property of the discrete Fourier transform (DFT) is used in the measurement of time delay. The eccentricity of a screw rod has been experimentally measured, and delays of the ultrasonic wave have been known with the precision of one percent of the temporal sampling interval.
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Concept, implementations and applications of Fourier ptychography
Nature Reviews Physics, 2021Guoan Zheng, Cheng Shen, Shaowei Jiang
exaly
1986
Abstract : A performance comparison investigation has been carried out for two multiple-weight, adaptive, canceler techniques; the discrete Fourier transform (DFT) band partitioning approach and the transversal filter canceler (TFC) approach. A simple two-channel canceler model was utilized, with all-digital processing, and four different types of ...
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Abstract : A performance comparison investigation has been carried out for two multiple-weight, adaptive, canceler techniques; the discrete Fourier transform (DFT) band partitioning approach and the transversal filter canceler (TFC) approach. A simple two-channel canceler model was utilized, with all-digital processing, and four different types of ...
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