Results 91 to 100 of about 257,484 (138)
The discrete fractional Fourier transform based on the DFT matrix
We introduce a new discrete fractional Fourier transform (DFrFT) based on only the DFT matrix and its powers. Eigenvectors of the DFT matrix are obtained in a simple-yet-elegant and straightforward manner. We show that this DFrFT definition based on the eigentransforms of the DFT matrix mimics the properties of continuous fractional Fourier transform ...
Durak-Ata, Lütfiye, SERBES, Ahmet
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Eigenvectors of the DFT and discrete fractional fourier transform based on the bilinear transform
Orthonormal 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.
Lutfiye Durak Ata, Ahmet Serbes
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Improved power converter line synchronisation using an adaptive Discrete Fourier Transform (DFT)
The problem of line synchronisation for grid connected power converters where the grid is weak or comes from a remote area power supply with poor frequency governing, is now well recognised. Such supplies can suffer a significant amount of line voltage distortion due to notches caused by power device commutation and/or low frequency harmonic content ...
J.J.H. Galloway+2 more
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Realization of a discrete Fourier transform (DFT) module for incorporation in FFT processors
For applications requiring high-speed and in-place treatment, it is often advantageous to realize special-purpose computers. This paper describes a discrete Fourier transform (DFT) module for incorpration in fast Fourier transform (FFT) processors. The module is highly suitable for real input applications requiring high-speed transformations.
M. Fournier, A. Pomerleau, H. Buijs
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Time-frequency scaling property of Discrete Fourier Transform (DFT)
This paper presents the analogue of the time or frequency scaling theorem of continuous time/frequency Fourier Transform (FT) to the realm of Discrete Fourier Transform (DFT). The scaling property applies to scaling by integers which are relatively prime to the length of the DFT. The time reversal property of DFT is identified as a special case of this
S. Lawrence Marple, Sumit A. Talwalkar
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Optical-computing technology offers new challenges to algorithm designers since it can perform an n-point discrete Fourier transform (DFT) computation in only unit time. Note that the DFT is a nontrivial computation in the parallel random-access machine model, a model of computing commonly used by parallel-algorithm designers. We develop two new models,
Akhilesh Tyagi, John H. Reif
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Properties of the Discrete Fourier Transform (DFT)
This 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.
B. W. Conolly
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Measurement of time delay using the time shift property of the discrete Fourier transform (DFT)
The 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.
K. Nagai
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Tomographic-SAR (Synthetic Aperture Radar) is a 3D Radar imaging technique, based on spectral estimation tools. This technique is used to estimate the distribution of the backscattering signal in the elevation axis, for each azimuth-range resolution cell of the SAR image.
Hichem Mahgoun, Mounira Ouarzeddine
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A novel algorithm for digital overcurrent relay using discrete Fourier transform (DFT)
An over current protective relays has played very important role in maintaining reliability of a distribution system and protecting the equipment from the damage due to system fault. The performance of a relay is greatly determined by its sensitivity and response time.
Jiang, F., Bo, Z. Q., Chen, Zhe
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