基于均勻圓陣的穩(wěn)健迭代波束形成算法
發(fā)布時間:2019-05-21 16:08
【摘要】:針對導向矢量偏差和轉換誤差導致傳統(tǒng)波束形成器的性能下降及均勻圓陣不具有范德蒙結構的問題,提出了一種基于均勻圓陣的穩(wěn)健迭代波束形成算法.該算法利用相位模式轉換技術推導出虛擬自相關矩陣,并把導向矢量限定于確定的橢圓集合中.從最差性能優(yōu)化的設計思想出發(fā),構造基于均勻圓陣的二階凸規(guī)劃的代價函數(shù),再利用拉格朗日乘子法求得權重矢量的閉式解表達式且能夠準確求出優(yōu)化解中的對角載入值.仿真結果表明:所提算法能夠提高系統(tǒng)的穩(wěn)健性,改善了陣列的輸出性能.
[Abstract]:A robust iterative beamforming algorithm based on uniform circular array is proposed to solve the problem that the performance of traditional beamformer is degraded by guide vector deviation and conversion error and that uniform circular array does not have van der Mont structure. In this algorithm, the virtual autocorrelation matrix is derived by using the phase mode conversion technique, and the guidance vector is limited to the determined elliptical set. Based on the design idea of worst performance optimization, the cost function of second order convex programming based on uniform circular array is constructed, and then the closed solution expression of weight vector is obtained by Lagrange multiplier method, and the diagonal loading value in the optimal solution can be obtained accurately. The simulation results show that the proposed algorithm can improve the robustness of the system and the output performance of the array.
【作者單位】: 東北大學秦皇島分校計算機與通信工程學院;東北大學計算機科學與工程學院;
【基金】:國家自然科學基金資助項目(61473066,61403069) 中央高;究蒲袠I(yè)務費專項資金資助項目(N152305001)
【分類號】:TN911.7
[Abstract]:A robust iterative beamforming algorithm based on uniform circular array is proposed to solve the problem that the performance of traditional beamformer is degraded by guide vector deviation and conversion error and that uniform circular array does not have van der Mont structure. In this algorithm, the virtual autocorrelation matrix is derived by using the phase mode conversion technique, and the guidance vector is limited to the determined elliptical set. Based on the design idea of worst performance optimization, the cost function of second order convex programming based on uniform circular array is constructed, and then the closed solution expression of weight vector is obtained by Lagrange multiplier method, and the diagonal loading value in the optimal solution can be obtained accurately. The simulation results show that the proposed algorithm can improve the robustness of the system and the output performance of the array.
【作者單位】: 東北大學秦皇島分校計算機與通信工程學院;東北大學計算機科學與工程學院;
【基金】:國家自然科學基金資助項目(61473066,61403069) 中央高;究蒲袠I(yè)務費專項資金資助項目(N152305001)
【分類號】:TN911.7
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