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An extended Prony’s interpolation scheme on an equispaced grid

100%

Karalienė D. , Navickas Z. , Čiegis R. , Ragulskis M.

Open Mathematics

2015

tom 13

nr 1

An interpolation scheme on an equispaced grid based on the concept of the minimal order of the linear recurrent sequence is proposed in this paper. This interpolation scheme is exact when the number of nodes corresponds to the order of the linear recurrent function. It is shown that it is still possible to construct a nearest mimicking algebraic interpolant if the order of the linear recurrent function does not exist. The proposed interpolation technique can be considered as the extension of the Prony method and can be useful for describing noisy and defected signals.

Obtaining a banded system of equations in complete spline interpolation problem via B-spline basis

100%

Volkov Y.

Open Mathematics

2012

tom 10

nr 1

352-356

We study the problem of interpolation by a complete spline of 2n − 1 degree given in B-spline representation. Explicit formulas for the first nand the last ncoefficients of B-spline decomposition are found. It is shown that other B-spline coefficients can be computed as a solution of a banded system of an equitype linear equations.

Pilot Based MMSE Channel Estimation for Spatial Modulated OFDM Systems

75%

Soman A. M. , Nakkeeran R. , Shinu M. J. , Soman A. M. , Nakkeeran R. , Shinu M. J.