Laguerre Wideband Beamforming Algorithm Based on Generalized Sidelobe Canceller
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摘要: 基于Frost 结构的Laguerre 宽带波束形成器可以获得比FIR 宽带波束形成器和IIR 宽带波束形成器更好的性能,但其需要单极点的最优求解过程,存在计算复杂度较高及收敛速度较慢等问题.该文提出一种基于广义旁瓣对消器(Generalized Sidelobe Canceller, GSC)的Laguerre 滤波器宽带波束形成算法.该算法首先建立基于GSC结构的Laguerre 宽带波束形成器模型,然后利用最小二乘方法给出一种低复杂度的极点求解方法,最后利用归一化最小均方根误差方法实现宽带波束形成.仿真实验及理论分析表明,该方法无需基于Frost 结构的Laguerre 宽带波束形成器单极点最优求解过程,在保证算法较高的输出信干噪比的同时,减少了计算复杂度,提高了收敛速度.
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关键词:
- 宽带波束形成 /
- Laguerre 滤波器 /
- 广义旁瓣对消器 /
- 最小二乘 /
- 归一化最小均方根误差
Abstract: Compared with conventional FIR and IIR broadband beamformers, the Laguerre broadband beamformer based on the Frost structure can achieve perfect performance. However, it needs the optimal solution of the solo pole, and it suffers high computational complexity and slow convergence speed. To address these problems, a novel Laguerre wideband beamforming algorithm based on GSC is proposed. A novel solution of the poles based on the least square method with low computational complexity is presented on the basis of the GSC structure of a Laguerre wideband beamformer. Thereafter, the broadband beamformer is achieved using the normalized LMS method. The simulations illustrate that without the optimal process of adjusting the solo pole in the Laguerre broadband beamformer based on the Frost structure, the proposed method can ensure high output SINR, reduce the computational complexity, and improve the convergence speed. -
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