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Two-dimensional complex Fourier transform via the Radon transform
Applied Optics, 1985A hybrid system has been constructed to perform the complex Fourier transform of real 2-D data. The system is based on the Radon transform; i.e., operations are performed on 1-D projections of the data. The projections are derived optically from transmissive or reflective objects, and the complex Fourier transform is performed with SAW filters via the ...
R L, Easton, A J, Ticknor, H H, Barrett
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Two-Dimensional Discrete Fourier Transform
2010Two-dimensional DFT has applications in image/video processing. The extension from 1-D to 2-D for the DFT is straightforward.
K. R. Rao, D. N. Kim, J. J. Hwang
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Windowed Fourier transform of two-dimensional quaternionic signals
Applied Mathematics and Computation, 2010The authors generalize the classical windowed Fourier transform to quaternion-valued 2-dimensional signals. Using the spectral representation of the quaternionic Fourier transform, they derive some properties such as reconstruction formula, reproducing kernel, isometry, orthogonality relation, and uncertainty principle.
Mawardi Bahri +3 more
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Two-dimensional visible-infrared Fourier transform spectroscopy
The Thirteenth International Conference on Ultrafast Phenomena, 2002We demonstrate here two-dimensional spectroscopy of a phase-matched sample of known non-linear response by means of coherent measurement of the emitted infrared field after a visible double-pulse excitation.
Belabas, N, Joffre, M
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The Two-Dimensional Fourier Transform
2003In this chapter the two-dimensional Fourier transform is defined mathematically, and then some intuitive feeling for the two-dimensional Fourier component is developed. Just as we understand that a waveform can be broken down into time-varying sinusoids, so also we can acquire a corresponding physical picture of the decomposition of a single-valued ...
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One-dimensional and two-dimensional generalised discrete fourier transforms
IEEE Transactions on Acoustics, Speech, and Signal Processing, 1976One-dimensional and two-dimensional generalized discrete Fourier transforms (GFT) are introduced. If a one.dimensional vector A is fractured into a two-dimensional matrix B, a one-dimensional GFT on A and a two-dimensional GFT on B give the same result and require the same number of operations to be computed. The result holds also for the DFT, as it is
BONGIOVANNI, Giancarlo +2 more
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Noninterferometric Two-Dimensional Fourier-Transform Spectroscopy of Multilevel Systems
Physical Review Letters, 2008We demonstrate a technique that determines the phase of the photon-echo emission from spectrally resolved intensity data without requiring phase-stabilized input pulses. The full complex polarization of the emission is determined from spectral intensity measurements.
Davis, Jeffrey +5 more
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Two-dimensional Fourier transform ESR spectroscopy
The Journal of Chemical Physics, 1986New Fourier transform ESR techniques, which permit rapid data acquisition of ESR spectra, now allow one to perform a variety of two-dimensional ESR experiments. Two prototype experiments on a fast motional nitroxide spectrum are described. The first is based upon detection of the Han echo and may be used for discriminating the homogeneous broadening of
Jeff Gorcester, Jack H. Freed
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Two dimensional Fourier transform using MATLAB
Proceedings of the 14th International Carpathian Control Conference (ICCC), 2013Two dimensional Fourier transform is a powerful tool for image processing, especially in the field of image restoration and filtration. But also it is useful for detection of periodicities at any angle with respect to the image edge. This paper describes the use of two dimensional Fourier transform in the MATLAB environment to compute the length of a ...
Jaromir Zavadil +4 more
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Triangular summability of two-dimensional Fourier transforms
Analysis Mathematica, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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