Results 31 to 40 of about 17,381 (301)

Certain fundamental properties of generalized natural transform in generalized spaces

open access: yesAdvances in Difference Equations, 2021
This paper considers the definition and the properties of the generalized natural transform on sets of generalized functions. Convolution products, convolution theorems, and spaces of Boehmians are described in a form of auxiliary results.
Shrideh Khalaf Al-Omari, Serkan Araci
doaj   +1 more source

A Convolution Method for Numerical Solution of Backward Stochastic Differential Equations Based on the Fractional FFT

open access: yesFractal and Fractional, 2022
BSDEs are applied in many areas, particularly in finance and economics. In this paper, we extended the convolution method to numerically solve FBSDEs. First, a generalized θ-scheme is applied to discretize the backwards component. Second, the convolution
Kexin Fu   +3 more
doaj   +1 more source

Generalized punctured convolutional codes [PDF]

open access: yesIEEE Communications Letters, 2005
This letter introduces the class of generalized punctured convolutional codes (GPCCs), which is broader than and encompasses the class of the standard punctured convolutional codes (PCCs). A code in this class can be represented by a trellis module, the GPCC trellis module, whose topology resembles that of the minimal trellis module.
Bartolomeu F. Uchôa Filho   +3 more
openaire   +1 more source

Generalized Auto-Convolution Volterra Integral Equations: Numerical Treatments

open access: yesJournal of Mathematics, 2022
In this paper, we use the operational Tau method based on orthogonal polynomials to achieve a numerical solution of generalized autoconvolution Volterra integral equations.
Mahdi Namazi Nezamabadi, Saeed Pishbin
doaj   +1 more source

SimNets: A Generalization of Convolutional Networks

open access: yesCoRR, 2014
We present a deep layered architecture that generalizes classical convolutional neural networks (ConvNets). The architecture, called SimNets, is driven by two operators, one being a similarity function whose family contains the convolution operator used in ConvNets, and the other is a new soft max-min-mean operator called MEX that realizes classical ...
Nadav Cohen 0001, Amnon Shashua
openaire   +2 more sources

Characterizations of L-additive functions via generalized arithmetic convolutions [PDF]

open access: yesNotes on Number Theory and Discrete Mathematics
This paper investigates the properties of L-additive functions within the algebraic frameworks of two generalized arithmetic convolutions: the K-convolution and Narkiewicz's A-convolution.
Champak Talukdar   +2 more
doaj   +1 more source

Diffusion Spectrum Imaging Maps Early Axonal Loss and a Unique Progressive Signal in Neuronal Intranuclear Inclusion Disease

open access: yesAnnals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective To delineate specific in vivo white matter pathology in neuronal intranuclear inclusion disease (NIID) using diffusion spectrum imaging (DSI) and define its clinical relevance. Methods DSI was performed on 42 NIID patients and 38 matched controls.
Kaiyan Jiang   +10 more
wiley   +1 more source

A matrix pencil approach to the existence of compactly supported reconstruction functions in average sampling

open access: yes, 2011
The aim of this work is to solve a question raised for average sampling in shift-invariant spaces by using the well-known matrix pencil theory. In many common situations in sampling theory, the available data are samples of some convolution operator ...
Hernández-Medina, M.A.   +10 more
core   +1 more source

Localization Operators for the Linear Canonical Dunkl Windowed Transformation

open access: yesAxioms
One of the best known time–frequency tools for examining non-transient signals is the linear canonical windowed transform, which has been used extensively in signal processing and related domains. In this paper, by involving the harmonic analysis for the
Saifallah Ghobber, Hatem Mejjaoli
doaj   +1 more source

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