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Publikováno v:
IEEE Access, Vol 8, Pp 87115-87120 (2020)
This paper is concerned with the linear codes over the non-chain ring $R=\mathbb {F}_{2}[v]/\langle v^{4}-v\rangle $ . First, several weight enumerators over $R$ are defined. Then the MacWilliams identity is obtained, which can establish an important
Autor:
Yinying Kong, Yongyi Gu
Publikováno v:
IEEE Access, Vol 7, Pp 96818-96826 (2019)
In this paper, we seek analytical solutions of the higher-order modified Boussinesq equation by two different systematic techniques. Employing the exp $(-\psi (z))$ -expansion method, exact solutions of the mentioned equation, including hyperbolic, e
Autor:
Ishan Kar
Publikováno v:
2020 IEEE 5th International Conference on Signal and Image Processing (ICSIP).
The Z-transform of the product of two functions with a rational transfer function, also known as the Hadamard product of the rational transfer functions, involves a complicated contour integral. It is especially complicated for functions with poles o
Publikováno v:
SYNASC
For a pair of polynomials with real or complex coefficients, given in any particular basis, the problem of finding their GCD is known to be ill-posed. An answer is still desired for many applications, however. Hence, looking for a GCD of so-called ap
Publikováno v:
SYNASC
Minimizing the Euclidean distance (l2 -norm) from a given point to the solution set of a given system of polynomial equations can be accomplished via critical point techniques. This article extends critical point techniques to minimization with respe
Publikováno v:
2019 13th International conference on Sampling Theory and Applications (SampTA).
We recast the problem of multiresolution-based wavelet construction in one and higher dimensions as a feasibility problem with constraints which enforce desirable properties such as compact support, smoothness and orthogonality of integer shifts. By
Autor:
Peter Balazs
Publikováno v:
2019 13th International conference on Sampling Theory and Applications (SampTA).
The concept of frames is used extensively for the representation of signal or functions. Recently, this concept is applied more and more for the representation of operators, both in theory as well as in the application for the numerical solutions of
Autor:
Carlos Beltrán, Ujué Etayo
Publikováno v:
2019 13th International conference on Sampling Theory and Applications (SampTA).
We present our recent work on the Diamond ensemble, a constructive family of points on ${\mathbb{S}^2}$ defined in [1]. Among the various characteristic of the Diamond ensemble we stand out that every set of points of the family is described by very
Publikováno v:
2019 13th International conference on Sampling Theory and Applications (SampTA).
We study the construction of non-uniform Parseval wavelet frames for the Lebesgue space L2 (R), where the related translation set is not necessary a group. The unitary extension principle (UEP) and generalized (or oblique) extension principle (OEP) f
Autor:
Gert Tamberg, Olga Graf
Publikováno v:
2019 13th International conference on Sampling Theory and Applications (SampTA).
The classical sampling theory relies on the exact values of functions taken at some set of points, while in many applications only the local averages in the neighborhood of these points are known. For this reason, we consider the Kantorovich-type sam