Laguerre functions
Generation of a Wide-Band Response Using Early-Time and Middle-Frequency Data through the Laguerre Functions
... This paper is organized as follows. In Section 2, we will explain the definitions and properties of the continuous and discrete Laguerre functions, the process of interpolating and extrapolating the ...
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Hardy’s inequalities for the twisted convolution with Laguerre functions
... In this article, two types of Hardy’s inequalities for the twisted convolution with Laguerre functions are studied. The proofs are mainly based on an estimate for the Heisenberg left-invariant vectors of ...
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Distortion Analysis of Electromagnetic Field Sensors in Laguerre Functions Subspace
... in Laguerre functions subspace. Using Laguerre convolution preservation property, it is proved that every electromagnetic field sensor corresponds to an equivalent discrete-time LTI ...
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A Modified Controller for Three Level Three Phase Voltage Source Inverter based on Laguerre Functions
... use Laguerre functions to modify the MPC for reducing the computation ...further, Laguerre parameters will be calculated in the offline period, and then they will be applied to the predictive process ...
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Extended Jacobi and Laguerre Functions and their Applications
... This paper is organized as follows: Section 2 consists of a brief review of some useful definitions and theorems. In Section 3 we introduce extended Jacobi and Laguerre functions which depend on a function ...
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Optimal Real Time Predictive Control for Maximising the Power Take Off Efficiency of the WaveRAM Wave Energy Converter
... Firstly, discrete linear time-invariant (LTI) models of the plant are used in the optimisa- tion problem, which immediately provides a time cost saving since integration in real-time is avoided. For cases where the QP ...
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An Approximation Algorithm for the solution of astrophysics equations using rational scaled generalized Laguerre function collocation method based on transformed Hermite Gauss nodes
... Spectral methods are famous ways to solve these kinds of problems. The most common approach on spectral methods, that is used in this paper too, is through the use of functions that are orthogonal over unbounded ...
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Orthonormal Basis Filters for gas turbine fault diagnostics system design: A review
... After a test on control of a binary distillation column, they have concluded that the model using the stated approach is indeed effective. Besides, they mentioned that time delay in the system can be considered by making ...
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Time-Domain Integral Equation Solver for Radiation from Dipole Antenna Loaded with General BI-Isotropic Objects
... scaled Laguerre functions are used as the temporal basis and testing ...the Laguerre functions completely removes the time variable from computation, and the results are stable even at late ...
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Extrapolation of Transient Electromagnetic Response Using Approximate Prolate Series
... Abstract—A novel technique for extrapolation of transient response using early-time and low-frequency data is proposed in this paper. An improved extrapolation scheme using approximate prolate series is presented to ...
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Some inequalities for special functions
... 2. Buschman, RG: Inequalities for hypergeometric functions. Math. Comput. 30, 303-305 (1976) 3. Carlson, BC: Some inequalities for hypergeometric functions. Proc. Am. Math. Soc. 17, 32-39 (1966) 4. Erber, ...
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A 3-D Unconditionally Stable Laguerre-Rpim Meshless Method for Time-Domain Electromagnetic Computations
... In this paper, a new 3-D time-domain meshless method is presented. The RBFs are applied to construct the shape function, and the weighted Laguerre polynomials are used to express field component and its ...
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An efficient approximate method for solution of the heat equation using Laguerre-Gaussians radial functions
... basis functions (RBFs). The operational matrix of derivative for Laguerre-Gaussians (LG) radial basis functions is used to reduce the problem to a set of algebraic ...
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Laguerre type Bell polynomials
... nth Laguerre-type derivatives of a composite ...first Laguerre derivative DxD, D : = d/dx is essentially related to an article by Carlitz [5], originated by a preceding paper by Lardner [16] in which the ...
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A pair of biorthogonal polynomials for the Szegö Hermite weight function
... polynomials corresponding to the weight functions of classical orthogonal polynomials were taken up by Konhauser [3] for the Laguerre weight function x.. Chai [5], Carlitz [6] and Madhek[r] ...
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A New Method for a Nonlinear Acoustic Echo Cancellation System
... Sound is the object enriched, beautifully added to our lives. But people are harassed, etc., such as echoes. Echo cancellation is a matter of practical research today. There are two echo cancellation methods: echo ...
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Laguerre-Volterra Filters Optimization Based on Laguerre Spectra
... poles. This approach generalizes previous works for lin- ear [13] and nonlinear systems [11]. The performance of the proposed identification methods has been illustrated by means of simulation results that show the ...
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International Journal of Scientific Research and Reviews On a Paper in Connection with the Derivation of Generating Functions Involving Laguerre Polynomials
... In this section of the present note, we have given some of our observations on the works 1.2 . At first, we would like to mention that the authors of the paper 1 perhaps fail to notice the work 4 in which the above ...
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Fractional Orders of the Generalized Bessel Matrix Polynomials
... matrix functions (GBMFs) Y α (t; A , B ), t ∈ C , for matrices A and B in the complex space C N ×N are derived and supplied with a matrix hypergeometric ...
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Generating Functions for Products of Special Laguerre 2D and Hermite 2D Polynomials
... special Laguerre 2D polyno- mials which can be taken as intermediate step for the derivation of the generating function but this formula pos- sesses proper importance for other calculations and was already useful ...
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