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Improved Constraint NLMS Algorithm for Sparse Adaptive Array Beamforming Control Applications

机译:改进了稀疏自适应阵列波束形成控制应用的约束nLMS算法

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摘要

In this paper, a new reweighted l(1)-norm and an l(p)-norm based normalized least mean square (NLMS) algorithms are developed for sparse adaptive array beamforming control applications. The proposed reweighted l(1)-norm constrained NLMS (RL1-CNLMS) and l(p)-norm constrained NLMS (L-P-CNLMS) algorithms use the l(1)-norm penalty and l(p)-norm penalty to the conventional cost function of constrained normalized LMS (CLMS) algorithm to control the sparsity of the antenna array. What's more, in the derivation process, the gradient descent principle and Lagrange multiplier method are adopted to obtain the desired updating formulations. Computer simulations demonstrate that the superiority of proposed algorithms compared with other LMS based beamforming methods.
机译:在本文中,为稀疏自适应阵列波束成形控制应用开发了一种新的重新重量的L(1)-norm和基于归一化的最小值平均方形(NLMS)算法。所提出的重新重量的L(1)-norm约束的NLMS(RL1-CNLMS)和L(P)-norm约束NLMS(LP-CNLMS)算法使用L(1) - 爆扰和L(P) - 爆击约束归一化LMS(CLMS)算法的传统成本函数控制天线阵列的稀疏性。更重要的是,在推导过程中,采用梯度下降原理和拉格朗日乘法器方法来获得所需的更新制剂。计算机模拟表明,与其他基于LMS的波束形成方法相比,所提出的算法的优越性。

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