穩(wěn)健的MIMO雷達發(fā)射波形和接收濾波器聯(lián)合優(yōu)化設計
發(fā)布時間:2018-02-10 02:49
本文關鍵詞: MIMO雷達 波形優(yōu)化 穩(wěn)健性 凸優(yōu)化 半正定規(guī)劃 出處:《哈爾濱工業(yè)大學學報》2017年05期 論文類型:期刊論文
【摘要】:針對雜波條件下目標反射信號方向不確定的情況,提出一種穩(wěn)健的MIMO雷達發(fā)射波形和接收濾波器聯(lián)合優(yōu)化設計方法.在考慮各陣元發(fā)射功率相等的約束條件下,利用發(fā)射加權(quán)矩陣構(gòu)造不確定集范圍內(nèi)關于輸出信干噪比(SINR)的Maxmin優(yōu)化模型;在此基礎上,利用序列優(yōu)化、半正定松弛和Charnes-Cooper轉(zhuǎn)換,將非凸的聯(lián)合優(yōu)化問題轉(zhuǎn)化為關于發(fā)射波形和接收濾波器的凸優(yōu)化問題進行迭代求解;最后通過隨機向量合成方法計算最終發(fā)射波形和接收濾波器,并對算法計算復雜度和收斂性給出分析和證明.所提方法在滿足陣元發(fā)射功率一致的約束條件下,提高了算法穩(wěn)健性并降低了計算復雜度.仿真實驗證明了算法的有效性.
[Abstract]:In view of the uncertain direction of target reflected signal under clutter, a robust optimal design method of MIMO radar transmitting waveform and receiving filter is proposed. Considering the constraint of equal transmission power of each array element, a robust optimal design method is proposed. The Maxmin optimization model for the output signal-to-noise ratio (SINR) in the range of uncertain set is constructed by using the transmit weighting matrix, on the basis of which, the sequence optimization, positive semidefinite relaxation and Charnes-Cooper transformation are used. The non-convex joint optimization problem is transformed into the convex optimization problem about the transmitting waveform and the receiving filter. Finally, the final transmitting waveform and the receiving filter are calculated by the random vector synthesis method. The computational complexity and convergence of the proposed algorithm are analyzed and proved. The proposed method improves the robustness of the algorithm and reduces the computational complexity under the constraint of uniform transmission power of the array elements. The simulation results show that the algorithm is effective.
【作者單位】: 空軍工程大學信息與導航學院;
【基金】:國家自然科學基金(61302153)
【分類號】:TN958
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