A Power-Inversion Algorithm Based on Matrix Eigen-Decomposition and Implementation

Juping Pan, Zhe Zheng, Xinglong Zhang, Jiahui Hong
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Abstract

In satellite navigation system with low signal-to-noise ratio (SNR), array anti-jamming antenna usually adopts power-inversion (PI) adaptive anti-jamming algorithm to suppress interference. In order to improve the anti-jamming performance of array antenna, a PI algorithm based on matrix eigendecomposition is studied according to the characteristics of array covariance matrix. This algorithm solves the problem of ill-conditioned matrix caused by low SNR of array received signal and overcomes the shortcoming of the open-loop algorithm of direct matrix inversion in hardware implementation, which has a complex structure and a large amount of computation. The simulation results show that the algorithm has a remarkable effect on the suppression of strong interference, high precision of weight vector and fast updating speed. In addition, the implementation structure of high-performance anti-jamming system based on PI algorithm in FPGA is analyzed.
基于矩阵特征分解的幂逆算法及其实现
在低信噪比的卫星导航系统中,阵列抗干扰天线通常采用功率反转(PI)自适应抗干扰算法来抑制干扰。为了提高阵列天线的抗干扰性能,根据阵列协方差矩阵的特点,研究了一种基于矩阵特征分解的PI算法。该算法解决了阵列接收信号信噪比低导致的矩阵病态问题,克服了直接矩阵反演开环算法在硬件实现上结构复杂、计算量大的缺点。仿真结果表明,该算法在抑制强干扰、权重向量精度高、更新速度快等方面效果显著。此外,还分析了基于PI算法的高性能抗干扰系统在FPGA中的实现结构。
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