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Functional representations in non-Fourier basis with applications

Physical Review A, 1993
Orthogonal trigonometric basis functions in (-\ensuremath{\pi},\ensuremath{\pi}) are considered and the suitability of Fourier-like expansions involving odd harmonics of the semifundamental frequency is noted. Comparison with the conventional representation is made, pointing out the advantages of employing non-Fourier bases. As a practical application,
, Pathak, , Chandra, , Bhattacharyya
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Partial non-Fourier encoded MRI

Proceedings IEEE International Symposium on Biomedical Imaging, 2003
MRI is by nature a Fourier encoded imaging modality. But MRI is enriched and made all the more powerful and flexible by the fact that it also includes elements of non-Fourier encoding, such as slice selection. Our goal is to develop a partial non-Fourier encoding methodology that is fully integrated with, and is complementary to, existing MR encoding ...
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Non-Fourier plasma electrodynamics

Physica Scripta, 1994
New exact analytical solutions describing the non-stationary propagation of non-sine electromagnetic waves in plasma are obtained by direct solution of Maxwell equations without the traditional Fourier transformations. Unlike the usual travelling monochromatic waves the fields discussed are distinguished by unequal periods of electric and magnetic ...
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A novel discretization and numerical solver for non-fourier diffusion

ACM Transactions on Graphics, 2020
We introduce the C-F diffusion model [Anderson and Tamma 2006; Xue et al. 2018] to computer graphics for diffusion-driven problems that has several attractive properties: (a) it fundamentally explains diffusion from the perspective of the non-equilibrium statistical mechanical Boltzmann Transport Equation, (b) it ...
Tao Xue 0004   +4 more
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Non-Fourier heat conductions in nanomaterials

Journal of Applied Physics, 2011
We study the non-Fourier heat conductions in nanomaterials based on the thermomass theory. For the transient heat conduction in a one-dimensional nanomaterial with a low-temperature step at both ends, the temperature response predicted by the present model is consistent with those by the existing theoretical models for small temperature steps. However,
Moran Wang, Nuo Yang, Zeng-Yuan Guo
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2D Regimes of Non-Fourier Convection

AIP Conference Proceedings, 2010
In this work, we investigate the 2D flow in a rectangular cavity subject to both vertical and horizontal temperature gradients. The linearized model is studied and the effect of thermal relaxation, as described by the Maxwell‐Cattaneo law of heat conduction is examined.
N. C. Papanicolaou   +2 more
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AN ITERATIVE FILTERING ALGORITHM FOR NON‐FOURIER FREQUENCY ESTIMATION

Journal of Time Series Analysis, 1994
Abstract. We study an iterative filtering method to estimate frequencies of random Gaussian sinusoids in white noise. The method uses higher order crossings and takes advantage of a fixed point to guide the use of bandpass filtering in an attempt effectively to increase the signal‐to‐noise ratio.
Kedem, Benjamin, Troendle, James
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Non-Fourier motion analysis.

Ciba Foundation symposium, 1995
It has been realized for some time that the visual system performs at least two general sorts of motion processing. First-order motion processing applies some variant of standard motion analysis (i.e. spatiotemporal Fourier energy analysis) directly to stimulus luminance, whereas second-order motion processing applies standard motion analysis to one or
C, Chubb   +3 more
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Perception of Fourier and non-Fourier motion by larval zebrafish

Nature Neuroscience, 2000
A moving grating elicits innate optomotor behavior in zebrafish larvae; they swim in the direction of perceived motion. We took advantage of this behavior, using computer-animated displays, to determine what attributes of motion are extracted by the fish visual system.
Orger, M.   +3 more
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Axisymmetric non-fourier temperatures in cylindrically bounded domains

International Journal of Non-Linear Mechanics, 1982
Abstract Heat conduction solutions are presented for the case where the material obeys a non-Fourier conduction law. In contrast to the Fourier law which predicts an infinite speed of heat propagation, the non-Fourier theory implies that the speed of thermal signals are finite.
Sadd, M. H., Chin Young Cha
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