三阶正交多项式移动平滑算法及其应用

提出了一种三阶正交多项式移动平滑算法，可以避免采用一般多项式最小二乘平滑时，需用矩阵求逆的方法解正则方程时容易出现的方程病态问题。并将其应用于带量测噪声的试飞数据预处理。文中通过算例验证了该法进行数据平滑时的有效性。

Orthogonal Polynomial for Pre-processing Flight Test Data

There is always containated measurement noise in flight test data, so it is necessary to find a good method to pre-process these data. For such pre-process,this paper proposes a new smoother algorithm, called by us moving-orthogonal polynomial smoother algorithm. Compared with the general polynomial stepless algorithm, this algorithm is somewhat better in avoiding the linear equations when we seek equation roots with the method of reverse matrix. Moving-orthogonal polynomial algorithm can be used to smooth the flight test data and check up the reasonableness of dynamic data . Using this method to pre-process some actual flight test data for angle of pitching and the results confirm the validity of this method.