Bayesian subspace estimation for beamforming and RFI cancellation using deflation technique

Xu Wanfeng, Han Yubing, Sheng Weixing, Ma Xiaofeng, Z. Renli, Cui Jie
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Abstract

The output performance of a radio telescope is always suppressed severely by strong interferences. To solve this problem, a new Bayesian subspace estimation algorithm is proposed for beamforming and RFI cancellation. Assuming the steering vectors of interferences follow complex Gaussian distribution, the proposed algorithm recursively estimates these steering vectors based on Bayesian principle and subspace deflation technique, and then the span of interference subspace is realized. Numerical simulations show that, compared with eigenvalue decomposition (EVD) and fast approximated power iteration (FAPI), the proposed algorithm can accomplish a lower subspace estimation error and a better performance in beamforming and interference cancellation, especially when weak signals are considered.
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使用通货紧缩技术的波束形成和RFI抵消的贝叶斯子空间估计
射电望远镜的输出性能总是受到强干扰的严重抑制。为了解决这一问题,提出了一种新的贝叶斯子空间估计算法,用于波束形成和RFI消除。该算法假设干扰的转向向量服从复高斯分布,基于贝叶斯原理和子空间压缩技术对这些转向向量进行递归估计,从而实现干扰子空间的张成。数值仿真结果表明,与特征值分解(EVD)和快速近似功率迭代(FAPI)算法相比,该算法具有较低的子空间估计误差和较好的波束形成和干扰消除性能,特别是在考虑微弱信号时。
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