L/sup 2/([-/spl pi/，/spl pi/]/sup 2/)中的直接加权Lagrange-Yen型插值

Proceedings of the 23rd International Conference on Information Technology Interfaces, 2001. ITI 2001. Pub Date : 2001-06-19 DOI:10.1109/ITI.2001.938050

T. K. Pogány, M. Tudor

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引用次数: 0

摘要

利用来自paly - wiener函数空间L/sup 2/([-/spl pi/，/spl pi/]/sup 2/)的确定性信号的Kotel'nikov-Shannon采样恢复公式，导出了二元加权Lagrange-Yen型插值公式。当采用c型权函数提高插值收敛速度时，用近似相对误差水平计算插值参数大小，并规定坐标上的样本偏差。

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Direct weighted Lagrange-Yen type interpolation in L/sup 2/([-/spl pi/,/spl pi/]/sup 2/)

A bivariate weighted Lagrange-Yen type interpolation formula is derived by means of the Kotel'nikov-Shannon sampling restoration formula for deterministic signals from Paley-Wiener function space L/sup 2/([-/spl pi/,/spl pi/]/sup 2/). The interpolation parameter size is computed with the approximation relative error level and the coordinatewise sample deviations are prescribed, when the sinc-type weight function is used for interpolation convergence rate improvement.

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来源期刊

Proceedings of the 23rd International Conference on Information Technology Interfaces, 2001. ITI 2001.

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