基于改進LS-ESPRIT算法的GTD模型參數(shù)估計與RCS重構(gòu)
doi: 10.11999/JEIT190747
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中國人民解放軍空軍工程大學(xué)防空反導(dǎo)學(xué)院 西安 710051
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中國人民解放軍空軍工程大學(xué)研究生院 西安 710051
基金項目: 國家自然科學(xué)基金(61372033)，目標與環(huán)境電磁輻射重點實驗室創(chuàng)新基金(STES2014-2)
GTD Model Parameters Estimation and RCS Reconstruction Based on the Improved LS-ESPRIT Algorithm
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1.
Air and Missile Defense College of Air Force Engineering University, Xi’an 710051, China
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The Graduate School of Air Force Engineering University, Xi’an 710051, China
Funds: The National Nature Science Foundation of China (61372033), The Objectives and Environment Key Laboratory of Electromagnetic Environmental Radiation Innovation Fund (STES2014-2)
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摘要: 針對傳統(tǒng)LS-ESPRIT算法在估計GTD模型參數(shù)時抗噪效果差，估計精度不高這一問題，該文提出了一種改進的LS-ESPRT算法，有效地提高了算法的參數(shù)估計性能與抗噪性。首先，根據(jù)雷達目標的回波數(shù)據(jù)構(gòu)建Hankel矩陣；其次，采用核范數(shù)凸優(yōu)化方法對上述Hankel矩陣進行降噪處理，得到低秩的重構(gòu)Hankel矩陣；最后，利用傳統(tǒng)的LS-ESPRIT算法對降噪后的數(shù)據(jù)進行處理，估計出GTD模型參數(shù)?；诟倪M算法與傳統(tǒng)算法分別得到重構(gòu)RCS，并針對不同帶寬對參數(shù)估計精度的影響作以仿真探究。仿真結(jié)果表明，與傳統(tǒng)LS-ESPRIT算法與傳統(tǒng)TLS-ESPRIT算法相比，改進LS-ESPRIT算法的參數(shù)估計性能更高，抗噪性更強，且重構(gòu)RCS的幅值與相角誤差更小。對不同帶寬下的參數(shù)估計精度也進行了探究，并得出：帶寬越大，估計精度越高。
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關(guān)鍵詞:
- 散射中心 /
- GTD模型 /
- 凸優(yōu)化處理 /
- 改進的LS-ESPRIT算法 /
- RCS重構(gòu)
Abstract: The traditional Least Squares-Estimating Signal Parameter via Rotational Invariance Techniques (LS-ESPRIT) algorithm is not effective while estimating parameters of the Geometric Theory of Diffraction (GTD) at lower SNR. To solve this problem, an improved LS-ESPRIT algorithm is proposed in this paper. Firstly, a Hankel matrix is constructed by the echo data of radar targets.Secondly,a low- rank reconstructed Hankel matrix is obtained,which is solved by the nuclear norm convex optimization method. Finally, the traditional LS-ESPRIT algorithm is used to process the data after noise reduction and estimate the parameters of the GTD model. Moreover,the reconstructed Radar Cross Section (RCS) can be obtained by the traditional LS-ESPRIT algorithm and the improved LS-ESPRIT algorithm. The influence of different bandwidths on parameter estimation is also analyzed in this paper. Simulation results show that the estimation accuracy and noise resistance of the improved LS-ESPRIT algorithm is better than the traditional LS-ESPRIT algorithm and the traditional TLS-ESPRIT algorithm. Furthermore, the amplitude error and phase angle error of the RCS which is reconstructed by the improved algorithm are smaller than the traditional algorithm. Different bandwidths also have influences on parameter estimation accuracy, the more wider bandwidth is, the more accurate parameters can be estimated. -
表 1 典型散射結(jié)構(gòu)的
${\alpha _i}$ 取值典型散射結(jié)構(gòu) ${\alpha _i}$取值 二面角、三面角、平面法向反射 1.0 單曲面反射、圓柱面反射 0.5 雙曲面反射、球面反射 0 邊緣繞射 –0.5 尖頂繞射 –1.0 
下載: 導(dǎo)出CSV
表 2 散射中心參數(shù)值
序號 位置${r_i}({\rm{m}})$ 類型${\alpha _i}$ 強度${A_i}$ 1 1.200 1.000 6.112 2 1.400 0.500 5.398 3 1.900 0 4.234 4 2.300 1.000 3.102
下載: 導(dǎo)出CSV
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