基于秩減估計器的L型陣列二維波達角估計算法
doi: 10.11999/JEIT141538 cstr: 32379.14.JEIT141538
基金項目:
上海航天科技基金(SAST201215)和新世紀優(yōu)秀人才支持計劃(NCET-13-0034)
Rank Reduction Estimator Based Algorithm for Estimating 2D-DOA with L-shaped Array
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摘要: 針對L型陣列2維波達角(2D-DOA)估計問題，該文提出了一種新的基于秩減估計器的算法。該算法利用輔助角將2D-DOA估計問題轉(zhuǎn)換為兩個級聯(lián)的1D-DOA估計問題：首先采用基于傳播算子的秩減估計器獲得高精度的輔助角估計；其次利用輔助角估計結(jié)果獲得某一入射角的一元代價函數(shù)，借鑒root-MUSIC算法通過對多項式求根獲得某一入射角估計，而另一入射角估計可由已得角度估計和輔助角估計通過簡單轉(zhuǎn)換獲得且兩入射角之間無需配對。運算量分析表明，該算法運算量與JEADE算法接近，大于CODE和root-MUSIC算法。仿真實驗驗證了該算法在不同信噪比、快拍數(shù)目條件下可獲得高精度的DOA估計結(jié)果。Abstract: A novel algorithm is proposed for Two-Dimensional (2D) Direction Of Arrival (DOA) estimation issue with L-shaped array. By introducing an auxiliary electrical angle, 2D-DOA estimation problem is solved by two-step 1D-DOA estimation. Firstly auxiliary electrical angle estimation is given by a propagator based RAnk Reduction Estimator (RARE). Then a cost function about one incident angle is obtained, and the incident angle estimation is given by K zeros of polynomial relating to the cost function. Finally, The other incident angle estimation is given by simple algebraic operation between the obtained auxiliary electrical angle and incident angle estimations. Computational burden analysis is given in this paper. It is shown that the proposed algorithm has a roughly same computational burden with JEADE algorithm, while both of them has larger burden than CODE and root-MUSIC algorithms. Further, the Root-Mean-Square-Error (RMSE) expressions of the incident angle estimates are derived to validate the performance of the proposed algorithm.
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