Results 11 to 20 of about 3,552,646 (301)
The discrete triangle transform [PDF]
2004 IEEE International Conference on Acoustics, Speech, and Signal Processing, 2004 We introduce the discrete triangle transform (DTT), a non-separable transform for signal processing on a two-dimensional equispaced triangular grid. The DTT is, in a strict mathematical sense, a generalization of the DCT, type III, to two dimensions, since the DTT is built from Chebyshev polynomials in two variables in the same way as the DCT, type III,
Markus Püschel, Martin Rötteler
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Coding Implementation By Using Discrete Wavelet Transform [PDF]
Engineering and Technology Journal, 2010 Image processing can be considered as an essential part of wide rangecomputer applications. This application deals with image coding and it discussesimage coding schemes, by using transforms to code the image or not.
Matheel Emad AL-Deen AL-Dargazli +1 more
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Generalized Orthogonal Discrete W Transform and Its Fast Algorithm
Discrete Dynamics in Nature and Society, 2021 Based on the generalized discrete Fourier transform, the generalized orthogonal discrete W transform and its fast algorithm are proposed and derived in this paper. The orthogonal discrete W transform proposed by Zhongde Wang has only four types. However,
Jichao Sun, Zhengping Zhang
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Discrete cosine and sine transforms generalized to honeycomb lattice [PDF]
Journal of Mathematics and Physics, 2017 The discrete cosine and sine transforms are generalized to a triangular fragment of the honeycomb lattice. The honeycomb point sets are constructed by subtracting the root lattice from the weight lattice points of the crystallographic root system $A_2 ...
J. Hrivnák, L. Motlochová
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The Discrete Cosine Transform on Triangles [PDF]
ICASSP 2019 - 2019 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), 2019 The discrete cosine transform is a valuable tool in analysis of data on undirected rectangular grids, like images. In this paper it is shown how one can define an analogue of the discrete cosine transform on triangles. This is done by combining algebraic signal processing theory with a specific kind of multivariate Chebyshev polynomials.
Bastian Seifert, Knut Hüper
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Multidimensional sampling theorems for multivariate discrete transforms
Advances in Difference Equations, 2021 This paper is devoted to the establishment of two-dimensional sampling theorems for discrete transforms, whose kernels arise from second order partial difference equations.
H. A. Hassan
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Eye State Identification Based on Discrete Wavelet Transforms
Applied Sciences, 2021 We present a prototype to identify eye states from electroencephalography signals captured from one or two channels. The hardware is based on the integration of low-cost components, while the signal processing algorithms combine discrete wavelet ...
Francisco Laport +4 more
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The Discrete Cosine Transform [PDF]
SIAM Review, 1999 In this paper the author derives the Discrete Cosine Transform (DCT) bases as eigenvectors of a symmetric second-difference matrix with certain boundary conditions. The type of boundary condition (Dirichlet or Neumann, centered at a meshpoint or a midpoint) determines the applications that are appropriate for each transform.
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ON THE SUMMABILITY OF THE DISCRETE HILBERT TRANSFORM [PDF]
Ural mathematical journal, 2018 Summary: In this paper, we study the asymptotic behavior of the distribution function of the discrete Hilbert transform of sequences from the class \(l_1\) and find a necessary condition and a sufficient condition for the summability of the discrete Hilbert transform of a sequence from the class \(l_1\).
Aliev, R. A., Amrahova, A. F.
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Multiplication Symmetric Convolution Property for Discrete Trigonometric Transforms
Algorithms, 2009 The symmetric-convolution multiplication (SCM) property of discrete trigonometric transforms (DTTs) based on unitary transform matrices is developed. Then as the reciprocity of this property, the novel multiplication symmetric-convolution (MSC) property ...
Do Nyeon Kim, K. R. Rao
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