基于無網(wǎng)格壓縮感知的DOA估計算法
發(fā)布時間：2018-12-12 01:10
【摘要】：應用傳統(tǒng)的壓縮感知理論對天線陣列信號的波達方向(Direction-of-arrival,DOA)進行估計,存在基的失配問題�；诮惶娣较虺俗臃�(Alternative Direction Method of Multiplier,ADMM)的無網(wǎng)格壓縮感知(Grid-less Compressive Sensing)技術能夠解決該問題,但仍存在收斂速度慢的缺陷。針對該缺陷,提出帶自適應懲罰項的ADMM(ADMM with adaptive penalty,AP-ADMM)算法,即根據(jù)輸入信號的噪聲功率,自適應地選擇懲罰項的初始值;同時在算法迭代求解的過程中,自適應地對目標函數(shù)的懲罰項進行調整。與傳統(tǒng)算法相比,在保證收斂精度和DOA的恢復成功概率的條件下,帶自適應懲罰項的ADMM算法收斂速率明顯加快。仿真結果驗證了新算法的有效性。
[Abstract]:The traditional compression sensing theory is used to estimate the direction of arrival (Direction-of-arrival,DOA) of antenna array signals. Meshless compression sensing (Grid-less Compressive Sensing) based on alternating direction multiplier method (Alternative Direction Method of Multiplier,ADMM) can solve this problem, but it still has the defect of slow convergence. To solve this problem, an adaptive penalty term (ADMM (ADMM with adaptive penalty,AP-ADMM) algorithm is proposed, which adaptively selects the initial value of the penalty term according to the noise power of the input signal. At the same time, the penalty term of the objective function is adjusted adaptively in the iterative algorithm. Compared with the traditional algorithm, the convergence rate of the ADMM algorithm with adaptive penalty term is obviously accelerated under the condition of ensuring the convergence accuracy and the success probability of DOA recovery. Simulation results verify the effectiveness of the new algorithm.
【作者單位】： 中國人民解放軍理工大學通信工程學院;
【基金】：國家自然科學基金(61571463,61371124,61272487,61472445,61201217)資助
【分類號】：TN911.7
，
本文編號：2373596
[Abstract]:The traditional compression sensing theory is used to estimate the direction of arrival (Direction-of-arrival,DOA) of antenna array signals. Meshless compression sensing (Grid-less Compressive Sensing) based on alternating direction multiplier method (Alternative Direction Method of Multiplier,ADMM) can solve this problem, but it still has the defect of slow convergence. To solve this problem, an adaptive penalty term (ADMM (ADMM with adaptive penalty,AP-ADMM) algorithm is proposed, which adaptively selects the initial value of the penalty term according to the noise power of the input signal. At the same time, the penalty term of the objective function is adjusted adaptively in the iterative algorithm. Compared with the traditional algorithm, the convergence rate of the ADMM algorithm with adaptive penalty term is obviously accelerated under the condition of ensuring the convergence accuracy and the success probability of DOA recovery. Simulation results verify the effectiveness of the new algorithm.
【作者單位】： 中國人民解放軍理工大學通信工程學院;
【基金】：國家自然科學基金(61571463,61371124,61272487,61472445,61201217)資助
【分類號】：TN911.7
，
本文編號：2373596
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