應(yīng)用于任意陣列結(jié)構(gòu)的自適應(yīng)二維DOA估計(jì)研究
發(fā)布時(shí)間：2018-09-19 19:26
【摘要】：波達(dá)方向(DOA)估計(jì)是陣列處理中一個(gè)常見的任務(wù)。傳統(tǒng)的多重信號(hào)分類(MUSIC)是基于搜索的方法且通常計(jì)算成本較高,特別是在聯(lián)合方位角和俯仰角估計(jì)的應(yīng)用中。在本文中,我們將采用流形分離技術(shù)(MST),并提出了一個(gè)自適應(yīng)的二維測(cè)向框架,以跟蹤任意陣列結(jié)構(gòu)的多個(gè)運(yùn)動(dòng)目標(biāo)。首先,我們采用了子空間跟蹤技術(shù),每當(dāng)有新的快拍數(shù)據(jù)到來時(shí)就遞歸更新一次特征值;此外,通過采用移位矩陣快速單步操作可以并行更新系數(shù)矩陣;最后,執(zhí)行2-D快速傅立葉變換(FFT)來實(shí)時(shí)計(jì)算2-D空間譜。與傳統(tǒng)的MUSIC或Root-MUSIC方法相比,基于FFT的方法很大程度上減輕了計(jì)算負(fù)擔(dān),且易于硬件實(shí)現(xiàn)。本論文具體的內(nèi)容安排如下:首先,本文簡(jiǎn)要概述了自適應(yīng)二維DOA估計(jì)的研究進(jìn)展,并研究了天線陣列的結(jié)構(gòu)模型,對(duì)陣列信號(hào)理想情況、存在信號(hào)誤差及存在相干信源和分布式信源下的矩陣模型進(jìn)行了分析。其次,我們還介紹了傳統(tǒng)的DOA估計(jì)算法,其中包括經(jīng)典的MUSIC與Root-MUSIC算法的實(shí)現(xiàn)及優(yōu)缺點(diǎn)分析對(duì)比。并研究了一維情況下流形分離技術(shù)在Root-MUSIC方面的改進(jìn)算法:快速Root-MUSIC與基于IDFT的Root-MUSIC。然后還對(duì)二維情況下的兩種DOA估計(jì)算法進(jìn)行了對(duì)比分析。最后,給出了本論文的核心算法:基于FFT的自適應(yīng)二維DOA估計(jì)算法。該方法通過對(duì)系數(shù)矩陣的分析,將它分解為了兩部分,其一:時(shí)間無關(guān)項(xiàng)僅需執(zhí)行一次即可離線獲得;其二,時(shí)間有關(guān)項(xiàng)采用了子空間跟蹤技術(shù)中的快速近似功率迭代(FAPI)方法來求解權(quán)重矩陣,并引入移位矩陣實(shí)現(xiàn)了系數(shù)矩陣由二步求解轉(zhuǎn)換成更快的單步并行求解的更新過程。接著還將二維空域譜計(jì)算轉(zhuǎn)換為了二維FFT操作,從而更快的搜索出對(duì)應(yīng)DOA估計(jì)值。最后給出了算法的仿真分析及對(duì)比來驗(yàn)證該自適應(yīng)算法不僅能夠減小計(jì)算量,而且利于硬件實(shí)現(xiàn)。
[Abstract]:DOA (DOA) estimation is a common task in array processing. The traditional multi-signal classification (MUSIC) is a search-based method with high computational cost, especially in the joint azimuth and pitch angle estimation applications. In this paper we use manifold separation technique (MST), and propose an adaptive two-dimensional direction-finding framework to track multiple moving targets with arbitrary array structures. First of all, we use subspace tracking technique to update the eigenvalues recursively whenever new rapid-beat data arrives. In addition, the coefficients matrix can be updated in parallel by using the shift matrix fast one-step operation. The 2-D fast Fourier transform (FFT) is performed to calculate the 2-D spatial spectrum in real time. Compared with the traditional MUSIC or Root-MUSIC methods, the FFT based method greatly reduces the computational burden and is easy to implement in hardware. The main contents of this thesis are as follows: firstly, the research progress of adaptive two-dimensional DOA estimation is briefly summarized, and the structure model of antenna array is studied, which is ideal for array signal. The matrix model with signal error and coherent source and distributed source is analyzed. Secondly, we also introduce the traditional DOA estimation algorithms, including the implementation of the classical MUSIC and Root-MUSIC algorithms and the comparison of their advantages and disadvantages. The improved Root-MUSIC algorithm of manifold separation in one dimension is studied: fast Root-MUSIC and Root-MUSIC. based on IDFT. Then the two DOA estimation algorithms in two-dimensional case are compared and analyzed. Finally, the core algorithm of this thesis is presented: adaptive two-dimensional DOA estimation algorithm based on FFT. By analyzing the coefficient matrix, the method decomposes it into two parts: one is that the time-independent term can be obtained offline only once, the other is that the time-independent term can be obtained offline. The time-dependent term is solved by using the fast approximate power iterative (FAPI) method in subspace tracking technique, and the shift matrix is introduced to realize the updating process of the coefficient matrix from two-step solution to faster one-step parallel solution. Then the two-dimensional spatial domain spectral calculation is converted to two-dimensional FFT operation, so that the corresponding DOA estimation can be searched more quickly. Finally, the simulation analysis and comparison of the algorithm are given to verify that the adaptive algorithm can not only reduce the amount of computation, but also facilitate the hardware implementation.
【學(xué)位授予單位】：電子科技大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2016
【分類號(hào)】：TN911.7
本文編號(hào)：2251095
[Abstract]:DOA (DOA) estimation is a common task in array processing. The traditional multi-signal classification (MUSIC) is a search-based method with high computational cost, especially in the joint azimuth and pitch angle estimation applications. In this paper we use manifold separation technique (MST), and propose an adaptive two-dimensional direction-finding framework to track multiple moving targets with arbitrary array structures. First of all, we use subspace tracking technique to update the eigenvalues recursively whenever new rapid-beat data arrives. In addition, the coefficients matrix can be updated in parallel by using the shift matrix fast one-step operation. The 2-D fast Fourier transform (FFT) is performed to calculate the 2-D spatial spectrum in real time. Compared with the traditional MUSIC or Root-MUSIC methods, the FFT based method greatly reduces the computational burden and is easy to implement in hardware. The main contents of this thesis are as follows: firstly, the research progress of adaptive two-dimensional DOA estimation is briefly summarized, and the structure model of antenna array is studied, which is ideal for array signal. The matrix model with signal error and coherent source and distributed source is analyzed. Secondly, we also introduce the traditional DOA estimation algorithms, including the implementation of the classical MUSIC and Root-MUSIC algorithms and the comparison of their advantages and disadvantages. The improved Root-MUSIC algorithm of manifold separation in one dimension is studied: fast Root-MUSIC and Root-MUSIC. based on IDFT. Then the two DOA estimation algorithms in two-dimensional case are compared and analyzed. Finally, the core algorithm of this thesis is presented: adaptive two-dimensional DOA estimation algorithm based on FFT. By analyzing the coefficient matrix, the method decomposes it into two parts: one is that the time-independent term can be obtained offline only once, the other is that the time-independent term can be obtained offline. The time-dependent term is solved by using the fast approximate power iterative (FAPI) method in subspace tracking technique, and the shift matrix is introduced to realize the updating process of the coefficient matrix from two-step solution to faster one-step parallel solution. Then the two-dimensional spatial domain spectral calculation is converted to two-dimensional FFT operation, so that the corresponding DOA estimation can be searched more quickly. Finally, the simulation analysis and comparison of the algorithm are given to verify that the adaptive algorithm can not only reduce the amount of computation, but also facilitate the hardware implementation.
【學(xué)位授予單位】：電子科技大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2016
【分類號(hào)】：TN911.7
【引證文獻(xiàn)】
相關(guān)期刊論文 前1條
1 汪松年;尹立;閆耀峰;;短波圓環(huán)自適應(yīng)抗干擾研究[J];艦船電子工程;2017年06期
，本文編號(hào)：2251095
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