块Toeplitz矩阵低复杂度求逆的卫星导航空时抗干扰算法

采样协方差矩阵求逆是空时抗干扰算法的基本运算单元,但由于其运算量随时域抽头个数急剧增长,直接限制了空时抗干扰技术在卫星导航接收机中的应用。针对该问题,提出了基于块Toeplitz矩阵快速求逆的空时抗干扰方法。通过采用新的协方差矩阵近似计算方法,使得该矩阵同时为块Toeplitz矩阵与Hermite矩阵,并运用块Toeplitz矩阵的快速求逆算法,将时域抽头个数为K的计算复杂度从OK3]降至OK2]。理论分析和仿真结果表明,在阵元数为4、时域抽头为15的典型情况下,相比现有矩阵求逆方法,该算法的抗干扰性能损耗小于1d B,但计算量可降低约2/3。

A GNSS space-time anti-jamming algorithm with low complexity block toeplitz matrix inversion

Inversion of the covariance matrix is a basic operation in realization of space-time anti jamming algorithm, and its computation load grows rapidly with the number of time taps, therefore its application in the mass GNSS receiver is refined. Aim at this problem, a block toeplitz inversion algorithm is adopted into the anti-jamming processing. By improving the estimation method of the covariance matrix, the algorithm gets a sample covariance matrix both in the form of block Toeplitz matrix and Hermite matrix, and then the fast block Toeplitz inversion algorithm is applied and reduces the the inversion complexity of covariance matrix of K taps from OK3] to OK2]. With 4 antenna elements and 9 tap, the anti-jamming performance difference is less than 1dB, and the computation load reduction is 2/3 times of the traditional algorithm.