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利用正交多项式序列与Taylor级数之间的线性关系,给出了精确的乘积系数矩阵的定义及乘积变换式。利用正交多项式序列的正交性及微分算子矩阵,论述了时变非线性分布参数系统参数估计的正交多项式法。
Using the linear relationship between orthogonal polynomials and Taylor series, the exact product coefficient matrix is defined and its product transformation is given. Using the orthogonality of orthogonal polynomial sequences and the differential operator matrix, the orthogonal polynomial method for parameter estimation of time-varying nonlinearly distributed parametric systems is discussed.