一種自動匹配的分布式非圓信號二維DOA快速估計方法

崔維嘉; 代正亮; 王大鳴; 李祥志

doi:10.11999/JEIT171058

一種自動匹配的分布式非圓信號二維DOA快速估計方法

doi: 10.11999/JEIT171058

解放軍信息工程大學信息系統(tǒng)工程學院 ??鄭州 ??450001

基金項目: 國家自然科學基金(61401513)

詳細信息

作者簡介:
崔維嘉：男，1976年生，博士，副教授，研究方向為移動通信、信號處理等

代正亮：男，1993年生，碩士生，研究方向為陣列信號處理、分布式信號處理等

王大鳴：男，1971年生，博士，講師，研究方向為無線通信、信號處理等

李祥志：男，1995年生，碩士生，研究方向為陣列信號處理

通訊作者:
代正亮　 xinxidailiang@outlook.com

中圖分類號: TN911.7
計量
- 文章訪問數(shù): 1670
- HTML全文瀏覽量: 574
- PDF下載量: 40
- 被引次數(shù): 0
出版歷程
- 收稿日期: 2017-11-14
- 修回日期: 2018-09-26
- 網(wǎng)絡(luò)出版日期: 2018-10-16
- 刊出日期: 2018-12-01

Fast Two-dimensional DOA Estimation for Coherently Distributed Noncircular Signals with Automatic Pairing

Institute of Information System Engineering, The PLA Information Engineering University, Zhengzhou 450001, China

Funds: The National Natural Science Foundation of China (61401513)

摘要

摘要: 在相干分布式非圓信號2維波達方向(DOA)估計中，針對利用非圓特性后維數(shù)擴展帶來的較大復雜度問題，且現(xiàn)有的低復雜度算法均需要額外的參數(shù)匹配，該文提出一種基于互相關(guān)傳播算子的自動匹配2維DOA快速估計算法。該算法考慮L型陣列，在建立相干分布式非圓信號擴展陣列模型的基礎(chǔ)上，首先證明了L陣中兩個子陣的廣義方向矢量(GSV)均具有近似旋轉(zhuǎn)不變特性，然后通過陣列輸出信號的互相關(guān)運算消除了額外噪聲，最終利用子陣GSV的近似旋轉(zhuǎn)不變關(guān)系通過傳播算子方法得到中心方位角與俯仰角估計。理論分析和仿真實驗表明，所提算法無須譜峰搜索和協(xié)方差矩陣特征分解運算，具有較低的計算復雜度，并且能夠?qū)崿F(xiàn)2維DOA估計的自動匹配；同時，相比于現(xiàn)有的相干分布式非圓信號傳播算子算法，所提算法以較小的復雜度代價獲得了性能的較大提升。
- 陣列信號處理 /
- 相干分布式非圓信號 /
- 互相關(guān)傳播算子 /
- 自動匹配
Abstract: In the two-dimensional Direction Of Arrival (DOA) estimation of coherently distributed noncircular sources, the problem of large complexity is caused by dimension expansion after exploiting noncircular property, meanwhile the existing low-complexity algorithms all require additional parameter pairing procedure. To solve these problems, a rapid DOA estimation algorithm with automatic pairing is proposed for coherently distributed noncircular sources based on cross-correlation propagator. The L-shaped array is considered. Firstly, the extended array manifold model is established by exploiting the noncircularity of the signal, and then it is proved that there are approximate rotational invariance relationships in the Generalized Steering Vectors (GSVs) of two subarrays of the L array. At the same time, the extra noise can be eliminated by the cross-correlation matrix of the array output signals. Finally, on the basis of the approximate rotational invariance relationships of the sub-arrays, the center azimuth and elevation DOAs can be obtained by propagator method. Theoretical analysis and simulation experiments show that without the spectrum searching and eigenvalue decomposition of the sample covariance matrix, the proposed algorithm has low computational complexity. Moreover, it can automatically pair the estimated central azimuth and central elevation DOAs. In addition, compared with the existing propagation method for coherently distributed noncircular sources, the proposed algorithm can achieve higher estimation accuracy with the small complexity cost.
- Array signal processing /
- Coherently distributed noncircular source /
- Cross-correlation propagator /
- Automatic pairing

HTML全文

圖 1 L陣列與分布式信源

下載: 全尺寸圖片幻燈片

圖 2 2維DOA估計分布圖

下載: 全尺寸圖片幻燈片

圖 3 不同算法2維DOA估計均方根誤差RMSE隨信噪比SNR變化

下載: 全尺寸圖片幻燈片

圖 4 不同算法2維DOA估計均方根誤差RMSE隨快拍數(shù)變化

下載: 全尺寸圖片幻燈片

表 1 計算復雜度對比

算法	計算量
SOS	$O\left(8{M^3} + 4{M^2}N + L({K^3} + 2{K^2}M)\right)$
TLS-ESPRIT	$O\left({(2M + 1)^3} + {(2M + 1)^2}N + 2M{K^2} + 2{K^3}\right)$
CDNC	$O\left(64{M^3} + 16{M^2}N + \left(\frac{{11}}{9}M - 4\right){K^2} + 2{K^3}\right)$
NC-PM	$O\left(2(4M - 1)KN + 2{K^3} + {K^2}\right)$
本文算法	$O\left(4{M^2}N + 22{M^2}K + 3{K^3} - 12{K^2}\right)$

下載: 導出CSV

參考文獻(22)

ZHANG Ying and NG B P. MUSIC-Like DOA estimation without estimating the number of sources[J]. IEEE Transactions on Signal Processing, 2010, 58(3): 1668–1676 doi: 10.1109/TSP.2009.2037074

樊勁宇, 顧紅, 蘇衛(wèi)民, 等. 基于張量分解的互質(zhì)陣MIMO雷達目標多參數(shù)估計方法[J]. 電子與信息學報, 2015, 37(4): 933–938 doi: 10.11999/JEIT140826

FAN Jinyu, GU Hong, SU Weimin, et al. Co-prime MIMO radar multi-parameter estimation based on tensor decomposition[J]. Journal of Electronics&Information Technology, 2015, 37(4): 933–938 doi: 10.11999/JEIT140826

梁浩, 崔琛, 余劍. 基于ESPRIT算法的十字型陣列MIMO雷達降維DOA估計[J]. 電子與信息學報, 2016, 38(1): 80–89 doi: 10.11999/JEIT150402

LIANG Hao, CUI Chen, and YU Jian. Reduced-dimensional DOA estimation based on ESPRIT algorithm in monostatic MIMO Radar with cross array[J]. Journal of Electronics&Information Technology, 2016, 38(1): 80–89 doi: 10.11999/JEIT150402

馮明月, 何明浩, 徐璟, 等. 低信噪比條件下寬帶欠定信號高精度DOA估計[J]. 電子與信息學報, 2017, 39(6): 1340–1347 doi: 10.11999/JEIT160921

FENG Mingyue, HE Minghao, XU Jing, et al. High accuracy DOA estimation under low SNR condition for wideband underdetermined signals[J]. Journal of Electronics&Information Technology, 2017, 39(6): 1340–1347 doi: 10.11999/JEIT160921

VALAEE S, CHAMPAGNE B, and KABAL P. Parametric localization of distributed sources[J]. IEEE Transactions on Signal Processing, 1995, 43(9): 2144–2153 doi: 10.1109/78.414777

鄭植. 分布式信源低復雜度參數(shù)估計算法研究[D]. [博士論文], 電子科技大學, 2011.

ZHENG Zhi. Research on low complexity parameter estimation algorithm for distributed source[D]. [Ph.D. dissertation], University of Electronic Science and Technology, 2011.

CAO Renzheng, GAO Feifei, and ZHANG Xiaofei. An angular parameter estimation method for incoherently distributed sources via generalized shift invariance[J]. IEEE Transactions on Signal Processing, 2016, 64(17): 4493–4503 doi: 10.1109/TSP.2016.2557312

SHAHBAZPANAHI S, VALAEE S, and BASTANI M H. Distributed source localization using ESPRIT algorithm[J]. IEEE Transactions on Signal Processing, 2001, 49(10): 2169–2178 doi: 10.1109/78.950773

LV Tiejun, TAN Fangqing, GAO Hui, et al. A beamspace approach for 2-D localization of incoherently distributed sources in massive MIMO systems[J]. Signal Processing, 2016, 121(C): 30–45 doi: 10.1016/j.sigpro.2015.10.020

HASSANIEN A, SHAHBAZPANAHI S, and GERSHMAN A B. A generalized capon estimator for localization of multiple spread sources[J]. IEEE Transactions on Signal Processing, 2004, 52(1): 280–283 doi: 10.1109/TSP.2003.820089

SHAHBAZPANAHI S, VALAEE S, and GERSHMAN A B. A covariance fitting approach to parametric localization of multiple incoherently distributed sources[J]. IEEE Transactions on Signal Processing, 2004, 52(3): 592–600 doi: 10.1109/TSP.2003.822352

SIESKUL B T. An asymptotic maximum likelihood for joint estimation of nominal angles and angular spreads of multiple spatially distributed sources[J]. IEEE Transactions on Vehicular Technology, 2010, 59(3): 1534–1538 doi: 10.1109/TVT.2009.2040006

楊學敏, 李廣軍, 鄭植. 基于稀疏表示的相干分布式非圓信號的參數(shù)估計[J]. 電子與信息學報, 2014, 36(1): 164–168 doi: 10.3724/SP.J.1146.2013.00444

YANG Xuemin, LI Guangjun, and ZHENG Zhi. Parameters estimation of coherently distributed non-circular signal based on sparse representation[J]. Journal of Electronics&Information Technology, 2014, 36(1): 164–168 doi: 10.3724/SP.J.1146.2013.00444

BOUJEMAA H. Extension of COMET algorithm to multiple diffuse source localization in azimuth and elevation[J]. European Transactions on Telecommunications, 2005, 16(6): 557–566 doi: 10.1002/ett.1021

LEE J, SONG I, KWON H, et al. Low-complexity estimation of 2D DOA for coherently distributed sources[J]. Signal Processing, 2003, 83(8): 1789–1802 doi: 10.1016/S0165-1684(03)00103-8

ZHENG Zhi, LI Guangjun, and TENG Yunlong. Simplified estimation of 2D DOA for coherently distributed sources[J]. Wireless Personal Communications, 2012, 62(4): 907–922 doi: 10.1007/s11277-010-0100-y

尹潔昕, 吳瑛, 王鼎. 基于輔助陣元的非圓信號自校正算法及其性能分析[J]. 通信學報, 2014, 35(2): 153–165 doi: 10.3969/j.issn.1000-436x.2014.02.020

YIN Jiexin, WU Ying, and WANG Ding. Auto-calibration method and performance analysis for noncircular sources based on instrumental sensors[J]. Journal on Communications, 2014, 35(2): 153–165 doi: 10.3969/j.issn.1000-436x.2014.02.020

SHI Yunmei, HUANG Lei, QIAN Cheng, et al. Direction-of-arrival estimation for noncircular sources via structured least squares-based esprit using three-axis crossed array[J]. IEEE Transactions on Aerospace and Electronic Systems, 2015, 51(2): 1267–1278 doi: 10.1109/TAES.2015.140003

YANG Xuemin, LI Guangjun, ZHENG Zhi, et al. 2D DOA estimation of coherently distributed noncircular sources[J]. Wireless Personal Communications, 2014, 78(2): 1095–1102 doi: 10.1007/s11277-014-1803-2

DONG Yangyang, DONG Chunxi, XU Jin, et al. Computationally efficient 2-D DOA estimation for L-shaped array with automatic pairing[J]. IEEE Antennas&Wireless Propagation Letters, 2016, 15: 1669–1672 doi: 10.1109/LAWP.2016.2521785

LUO Jun, ZHANG Guoping, and YU Kegen. An automatically paired two-dimensional direction-of-arrival estimation method for two parallel uniform linear arrays[J]. AEU-International Journal of Electronics and Communications, 2017, 72: 46–51 doi: 10.1016/j.aeue.2016.11.017

YANG Xuemin, ZHENG Zhi, CHI C K, et al. Low-complexity 2D parameter estimation of coherently distributed noncircular signals using modified propagator[J]. Multidimensional Systems&Signal Processing, 2017, 28(2): 407–426 doi: 10.1007/s11045-015-0348-1

相關(guān)文章

施引文獻

資源附件(0)

訪問統(tǒng)計