orthogonal polynomials

Most of the conventional data fitting methods use orthogonal polynomials, which have shortcomings such as lowering the dominant frequency, distorting the breakpoint and the enormous error, etc.

在传统的地震数据拟合技术中大都采用正交多项式拟合方法，这种拟合方法的拟合结果存在拟合不够准确的缺点，导致处理后地震数据的主频降低、断点变形。

In this paper a new linear, continuous and bounded operator& piecewise general orthogonal polynomials operator ( PGOPO) is proposed, and its main properties and operational rules are described.

提出了一类新型的线性、有界算子&分段广义正交多项式算子（PGOPO），建立了其主要性质及运算规则；

The Separative Matrices of Continuous Orthogonal Polynomials

连续正交多项式的分离矩阵

We suggest a new method of statistic modeling, in which the first nth central moments of real target's radar cross section ( RCS) are used to characterize the target, and the Legendre orthogonal polynomials are used to reconstruct the PDF of the target's RCS.

本文提出了一种新的统计模型，它以统计量的各阶中心矩来表征目标，然后用Legendre正交多项式系来再现其概率密度函数。

This paper explains a method of flatness pattern recognition, i.e. utilizes character of three pair of Legendre orthogonal polynomials opposite each other to show six flatness typical patterns, bases on the fuzzy recognition methods of margin of weight hamming distance to making flatness pattern recognition.

利用勒让德正交多项式的三对两两互反特性，来表示六种板形基本模式，提出改进的板形模式识别方法，即提出基于加权海明（hamming）距离差的模糊模式识别。

On Approximation by Hermite Interpolation with Zeros of Laguerre Orthogonal Polynomials

具有Laguerre正交多项式零点的Hermite插值逼近