一种基于酉变换的修正ESB波束形成算法仿真

为了减小基于特征空间（ESB）自适应波束形成算法的运算量并提高小快拍数条件下的自适应波束形成性能，该文提出了一种基于酉变换的修正ESB自适应波束形成算法。该算法利用酉变换将复协方差矩阵转换为实矩阵，然后对其求逆和特征分解进行自适应波束形成，因此其运算量比ESB自适应波束形成算法小得多。由于计算变换后的矩阵的过程具有前后向平均的效果，相当于快拍数加倍，从而可提高小快拍数时波束形成的性能，增大输出信干噪比。算法在智能天线中的仿真结果表明，该算法具有比ESB算法更优的性能。

Simulation of a Modified ESB Beamforming Algorithm Based on Unitary Transformation

To reduce the computation complexity of the eigenspace-based(ESB) adaptive beamforming algorithm and improve the performance of it with a small number of snapshots,a modified eigenspace-based adaptive beamforming algorithm based on an unitary transformation is proposed.The algorithm transforms the complex covariance matrix into a real matrix using an unitary transformation and then the real matrix is inversed and eigen-decomposed for adaptive beamforming so it has a low computation complexity in comparison with the ESB adaptive beamforming algorithm.Due to the forward-backward averaging effect that is equivalent to doubling the number of snapshots during the course of the computation for the transformed matrix,the algorithm can upgrade the performance in the case of the small number of snapshots and raise the output signal-to-interference-plus-noise ratio(SINR). The simulation results in smart antennas show that the proposed algorithm has expected performance.