Bayesian Image Analysis in Fourier Space. [PDF]
Kornak J, Young K, Friedman E, Bakas K.
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Multi-scale optical scanning holography for robust manipulation detection in satellite images. [PDF]
Khairy M.
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The discrete fractional Fourier transform based on the DFT matrix
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Ahmet Serbes, Lutfiye Durak-Ata
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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,
J H, Reif, A, Tyagi
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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.
B. Conolly
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Time-frequency scaling property of Discrete Fourier Transform (DFT)
2010 IEEE International Conference on Acoustics, Speech and Signal Processing, 2010This 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
Sumit A. Talwalkar +1 more
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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.
Lutfiye Durak Ata, Ahmet Serbes
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