Academic literature on the topic 'Gabor multiplier'

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Journal articles on the topic "Gabor multiplier"

1

BALAZS, PETER. "HILBERT–SCHMIDT OPERATORS AND FRAMES — CLASSIFICATION, BEST APPROXIMATION BY MULTIPLIERS AND ALGORITHMS." International Journal of Wavelets, Multiresolution and Information Processing 06, no. 02 (2008): 315–30. http://dx.doi.org/10.1142/s0219691308002379.

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In this paper we deal with the theory of Hilbert–Schmidt operators, when the usual choice of orthonormal basis, on the associated Hilbert spaces, is replaced by frames. We More precisely, we provide a necessary and sufficient condition for an operator to be Hilbert–Schmidt, based on its action on the elements of a frame (i.e. an operator T is [Formula: see text] if and only if the sum of the squared norms of T applied on the elements of the frame is finite). Also, we construct Bessel sequences, frames and Riesz bases of [Formula: see text] operators using tensor products of the same sequences
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2

Gu, Qing, and Deguang Han. "Functional Gabor frame multipliers." Journal of Geometric Analysis 13, no. 3 (2003): 467–78. http://dx.doi.org/10.1007/bf02922054.

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3

Benedetto, John J., and Götz E. Pfander. "Frame expansions for Gabor multipliers." Applied and Computational Harmonic Analysis 20, no. 1 (2006): 26–40. http://dx.doi.org/10.1016/j.acha.2005.03.002.

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4

Feichtinger, H. G., M. Hampejs, and G. Kracher. "Approximation of Matrices by Gabor Multipliers." IEEE Signal Processing Letters 11, no. 11 (2004): 883–86. http://dx.doi.org/10.1109/lsp.2004.833581.

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5

Nazarkevych, Mariya, Yaroslav Voznyi, and Oksana Troyan. "GENERALIZING GABOR FILTERS BASED ON ATEB-FUNCTIONS." Cybersecurity: Education Science Technique, no. 4 (2019): 72–84. http://dx.doi.org/10.28925/2663-4023.2019.4.7284.

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Image filtering attempts to achieve greater resolution. There is a large number of filters that allows you to bring images with clear borders. In addition, noise is present when digitizing images. One of the most common types of filtering is the Gabor filter. It allows you to restore the image with the contour allocation at a certain frequency. Its core looks like elements of the Fourier basis, which is multiplied by Gaussian. The widespread use of Gabor filters for filtration is due to the fact that it gives a strong response at those points of the image where there is a component with local
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6

Cordero, Elena, Karlheinz Gröchenig, and Fabio Nicola. "Approximation of Fourier Integral Operators by Gabor Multipliers." Journal of Fourier Analysis and Applications 18, no. 4 (2012): 661–84. http://dx.doi.org/10.1007/s00041-011-9214-1.

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7

Li, Zhongyan, and Deguang Han. "Functional Matrix Multipliers for Parseval Gabor Multi-frame Generators." Acta Applicandae Mathematicae 160, no. 1 (2018): 53–65. http://dx.doi.org/10.1007/s10440-018-0194-x.

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8

Onchis, Darian M., and Simone Zappalà. "Realizable algorithm for approximating Hilbert–Schmidt operators via Gabor multipliers." Journal of Computational and Applied Mathematics 337 (August 2018): 119–24. http://dx.doi.org/10.1016/j.cam.2018.01.006.

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9

Diao, Yuanan, Deguang Han, and Zhongyan Li. "Gabor single-frame and multi-frame multipliers in any given dimension." Journal of Functional Analysis 280, no. 9 (2021): 108960. http://dx.doi.org/10.1016/j.jfa.2021.108960.

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10

Werther, T., A. Klotz, G. Kracher, et al. "CPR Artifact Removal in Ventricular Fibrillation ECG Signals Using Gabor Multipliers." IEEE Transactions on Biomedical Engineering 56, no. 2 (2009): 320–27. http://dx.doi.org/10.1109/tbme.2008.2003107.

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