| 引用本文: | 吴舜晓,黄仰博,聂俊伟,等.块Toeplitz矩阵低复杂度求逆的卫星导航空时抗干扰算法.[J].国防科技大学学报,2015,37(3):21-27.[点击复制] |
| WU Shunxiao,HUANG Yangbo,NIE Junwei,et al.A GNSS space-time anti-jamming algorithm with low complexity block Toeplitz matrix inversion[J].Journal of National University of Defense Technology,2015,37(3):21-27[点击复制] |
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| 块Toeplitz矩阵低复杂度求逆的卫星导航空时抗干扰算法 |
| 吴舜晓, 黄仰博, 聂俊伟, 欧钢 |
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(国防科技大学 电子科学与工程学院，湖南 长沙 410073)
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| 摘要: |
| 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O［K3］降至O［K2］。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1dB，但计算量可降低约2/3。 |
| 关键词: 采样协方差矩阵求逆 块Toeplitz矩阵 空时自适应处理 抗干扰天线阵列 全球卫星导航系统 |
| DOI：10.11887/j.cn.201503004 |
| 投稿日期：2015-01-20 |
| 基金项目:青年科学基金资助项目（61403413） |
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| A GNSS space-time anti-jamming algorithm with low complexity block Toeplitz matrix inversion |
| WU Shunxiao, HUANG Yangbo, NIE Junwei, OU Gang |
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(College of Electronic Science and Engineering, National University of Defense Technology, Changsha 410073, China)
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| Abstract: |
| Sample covariance matrix inversion was a basic operation unit in the realization of space-time anti jamming algorithm, and its computation load grew rapidly with the increasing number of time taps, which directly restricted the application of space-time anti-jamming technique in GNSS (Global Navigation Satellite System) receiver. Aiming at this problem, a space-time anti-jamming algorithm based on block Toeplitz inversion was adopted into anti jamming processing. By improving the estimation method of the covariance matrix, the algorithm got a sample covariance matrix both in the form of block Toeplitz matrix and Hermite matrix, and then the fast block Toeplitz inversion algorithm was applied to reduce the inversion complexity of covariance matrix of K taps from O［K3］to O［K2］. Theoretical analysis and simulation results show that when comparing with the traditional algorithm under the condition of 4 antenna elements and 15 taps, the anti-jamming performance cost of the proposed algorithm is less than 1dB, and its computation load reduction is about 2/3 times of the traditional algorithm. |
| Keywords: sample covariance matrix inversion block Toeplitz matrix space-time adaptive processing anti-jamming antenna array global navigation satellite system |
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