【摘要】 结合地形辅助导航的特点 ,给出了一个快速的平方根矩阵分解公式 ,应用该公式的平方根滤波地形辅助导航系统 ,不仅可避免由计算机截尾误差的积累和传播使滤波协方差矩阵失去正定性而导致的滤波发散 ,而且还避免了通常对角化平方根分解中不可缺少的求矩阵特征根和特征向量 ,以及特征向量的正交化、单位化等繁琐的计算过程更多还原

【Abstract】 A fast square root decomposition formulation is given under the background of terrain aided navigation (TAN). This formulation is so simple that it can get the square root decomposition of covariance matrix directly. The square root filter used in TAN not only can avoid the accumulation and spread of intercept errors usually destroying the positive definiteness essential to a covariance matrix and lead to the unstability of numerical calculation in Kalman filter (KF), but also need not to find the eigenvalues and eigenvectors of a matrix and to transform eigenvectors orthonormal.更多还原