基于平行嵌套陣互協(xié)方差的二維波達(dá)角聯(lián)合估計(jì)算法

李建峰; 蔣德富; 沈明威

doi:10.11999/JEIT160488

基于平行嵌套陣互協(xié)方差的二維波達(dá)角聯(lián)合估計(jì)算法

doi: 10.11999/JEIT160488

基金項(xiàng)目:

中央高?；究蒲袠I(yè)務(wù)費(fèi)專項(xiàng)資金(2015B12614)，江蘇高校優(yōu)勢(shì)學(xué)科建設(shè)工程

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- 文章訪問(wèn)數(shù): 1478
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- 被引次數(shù): 0
出版歷程
- 收稿日期: 2016-05-12
- 修回日期: 2016-09-06
- 刊出日期: 2017-03-19

Joint Two-dimensional Direction of Arrival Estimation Based on Cross Covariance Matrix of Parallel Nested Array

Funds:

The Fundamental Research Funds for the Central Universities (2015B12614), A Project Funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions

摘要

摘要: 論文提出基于平行嵌套陣互協(xié)方差的2維(Two Dimensional, 2D)波達(dá)角(Direction Of Arrival, DOA)聯(lián)合估計(jì)算法。算法基于兩個(gè)互相平行的嵌套陣的互協(xié)方差生成較長(zhǎng)虛擬陣列，同時(shí)將2維DOA估計(jì)問(wèn)題降維為1維 DOA估計(jì)問(wèn)題。在構(gòu)造協(xié)方差矩陣時(shí)，利用方向矩陣范德蒙特性增加虛擬快拍數(shù)，保證了孔徑的最小損失。最后算法基于酉旋轉(zhuǎn)不變技術(shù)(Estimation of Signal Parameters via Rotational Invariance Technique, ESPRIT)和總體最小二乘(Total Least Squares, TLS)方法進(jìn)一步降低噪聲影響，并獲得了自動(dòng)配對(duì)的2維DOA估計(jì)。相比傳統(tǒng)平行陣下的DOA估計(jì)算法，該算法擁有更好的DOA估計(jì)性能，能辨識(shí)更多的空間信源，對(duì)空間色噪聲有更強(qiáng)的魯棒性。仿真結(jié)果驗(yàn)證了算法的有效性。
- 2維DOA估計(jì) /
- 酉ESPRIT /
- 平行嵌套陣 /
- 互協(xié)方差
Abstract: A Cross Covariance Matrix (CCM) based Two Dimensional (2D) Direction Of Arrival (DOA) estimation algorithm for parallel nested array is proposed. A long virtual array can be achieved based on the CCM between the two parallel nested arrays, and 2D DOA estimation can be transformed to a 1D DOA estimation problem. Thereafter, virtual snapshots are increased by exploiting the Vandermonde structure of direction matrix, and the aperture loss is minimized when constructing covariance matrix from the virtual array. Finally, the proposed algorithm employs unitary Estimation of Signal Parameters via Rotational Invariance Technique (ESPRIT) and Total Least Squares (TLS) to reduce further the influence of noise and achieve automatically paired 2D DOA estimation. Compared to DOA estimation algorithms using conventional parallel array, the proposed algorithm can achieve better DOA estimation performance, identify more signals and is more robust to spatial color noise. The simulation results verify the effectiveness of the proposed algorithm.
- Two dimensional DOA estimation /
- Unitary ESPRIT /
- Parallel nested array /
- Cross covariance matrix

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