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The Fourier transform and the discrete Fourier transform
Inverse Problems, 1989This paper gives an error bound in computing the Fourier transform for a square summable function by means of the discrete Fourier transform. In detail description, the error bound depends on the number of samples, the interval where the samples are taken, the interval where the Fourier transform is being approximated, the local averaging in the time ...
Auslander, Louis, Grünbaum, F. Alberto
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Generalized discrete Fourier transforms: the discrete Fourier-Riccati-Bessel transform
Computer Physics Communications, 1995zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Stade, Eric, Layton, E. G.
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The discrete rotational Fourier transform
IEEE Transactions on Signal Processing, 1996We define a discrete version of the angular Fourier transform and present the properties of the transform that show it to be a rotation in time-frequency space, this new transform is a generalization of the DFT. Efficient algorithms for its computation can then be based on the FFT and the eigenstructure of the DFT.
Balu Santhanam, James H. McClellan
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On commutativity of Discrete Fourier Transform
Information Processing Letters, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The quick discrete Fourier transform
Proceedings of ICASSP '94. IEEE International Conference on Acoustics, Speech and Signal Processing, 2002This paper will look at an approach that uses symmetric properties of the basis function to remove redundancies in the calculation of discrete Fourier transform (DFT). We will develop an algorithm, called the quick Fourier transform (QFT), that will reduce the number of floating point operations necessary to compute the DFT by a factor of two or four ...
Haitao Guo +2 more
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