A fast algorithm FBTQ is presented which computes the QR factorization a block-Toeplitz matrix A (A∈R) in O(mns3) multiplications. We prove that the QR decomposition of A and the inverse Cholesky decomposition can be...A fast algorithm FBTQ is presented which computes the QR factorization a block-Toeplitz matrix A (A∈R) in O(mns3) multiplications. We prove that the QR decomposition of A and the inverse Cholesky decomposition can be computed in parallel using the sametransformation.We also prove that some kind of Toeplltz-block matrices can he transformed into the corresponding block-Toeplitz matrices.展开更多
本文设计出一种针对脉冲噪声的二维鲁棒高分辨率波达方向(DOA,Direction of Arrival)估计算法,以解决雷达、声纳等无线通信领域中脉冲噪声环境下IAA(Iterative Adaptive Approach)无法准确估计出DOA的问题.该算法中,用最小p阶范数代替WL...本文设计出一种针对脉冲噪声的二维鲁棒高分辨率波达方向(DOA,Direction of Arrival)估计算法,以解决雷达、声纳等无线通信领域中脉冲噪声环境下IAA(Iterative Adaptive Approach)无法准确估计出DOA的问题.该算法中,用最小p阶范数代替WLS(Weighted Least Squares)作为最优化求解的代价函数.此外,根据Toeplitz-Block-Toeplitz(TBT)矩阵性质和FFT简化计算过程,提出该算法的快速实现方法,提高算法的计算效率.该算法在对称α-稳定(SαS,Symmetric Alpha-Stable)分布噪声环境下建模,仿真结果表明:与CRCO-MUSIC(Co Rrentropy based COrrelationMUltiple Signal Classification)算法和MUSIC-FLOM(MUltiple Signal Classification-Fractional Lower-Order Moment)算法相比,二维lp-IAA算法可以在低信噪比、单快拍条件下有效分辨出相邻多目标信号;快速算法可以在保证高分辨率的前提下,算法平均运算时间降低至原来的约1/40.展开更多
文摘A fast algorithm FBTQ is presented which computes the QR factorization a block-Toeplitz matrix A (A∈R) in O(mns3) multiplications. We prove that the QR decomposition of A and the inverse Cholesky decomposition can be computed in parallel using the sametransformation.We also prove that some kind of Toeplltz-block matrices can he transformed into the corresponding block-Toeplitz matrices.
文摘本文设计出一种针对脉冲噪声的二维鲁棒高分辨率波达方向(DOA,Direction of Arrival)估计算法,以解决雷达、声纳等无线通信领域中脉冲噪声环境下IAA(Iterative Adaptive Approach)无法准确估计出DOA的问题.该算法中,用最小p阶范数代替WLS(Weighted Least Squares)作为最优化求解的代价函数.此外,根据Toeplitz-Block-Toeplitz(TBT)矩阵性质和FFT简化计算过程,提出该算法的快速实现方法,提高算法的计算效率.该算法在对称α-稳定(SαS,Symmetric Alpha-Stable)分布噪声环境下建模,仿真结果表明:与CRCO-MUSIC(Co Rrentropy based COrrelationMUltiple Signal Classification)算法和MUSIC-FLOM(MUltiple Signal Classification-Fractional Lower-Order Moment)算法相比,二维lp-IAA算法可以在低信噪比、单快拍条件下有效分辨出相邻多目标信号;快速算法可以在保证高分辨率的前提下,算法平均运算时间降低至原来的约1/40.
基金国家自然科学基金(the National Natural Science Foundation of China under Grant No.50579061)高等院校博士学科点专项科研基金(theChina Specialized Research Fund for the Doctoral Program of Higher Education under Grant No.106-220546)。
