改進的雙約束穩(wěn)健Capon波束形成算法

李立欣; 白童童; 張會生; 包濤; 申禮斌

doi:10.11999/JEIT151213

改進的雙約束穩(wěn)健Capon波束形成算法

doi: 10.11999/JEIT151213

基金項目:

中央高?；究蒲袠I(yè)務(wù)費專項資金(3102014JCQ01052, 3102014KYJD034, 3102014KYJD040)，陜西省自然科學(xué)基礎(chǔ)研究計劃資助項目(2016JM6062)，中國航天科技集團公司航天科技創(chuàng)新基金資助項目

計量
- 文章訪問數(shù): 1380
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- 被引次數(shù): 0
出版歷程
- 收稿日期: 2015-11-03
- 修回日期: 2016-03-31
- 刊出日期: 2016-08-19

Improved Double Constraint Robust Capon Beamforming Algorithm

Funds:

The Fundamental Research Funds for the Central Universities (3102014JCQ01052, 3102014KYJD034, 3102014KYJD040), The Natural Science Foundation Research Project of Shaanxi Province (2016JM6062), The Aerospace Science and Technology Innovation Fund of CASC

摘要

摘要: 傳統(tǒng)雙約束穩(wěn)健Capon波束形成算法采用牛頓迭代法求解最優(yōu)加載量，存在計算精度低且運算量大的問題。該文提出一種改進的雙約束穩(wěn)健Capon波束形成(DCRCB)算法，該算法對信號協(xié)方差矩陣進行重構(gòu)，基于期望信號導(dǎo)向矢量在噪聲子空間的投影最優(yōu)，將重構(gòu)后的干擾加噪聲協(xié)方差矩陣投影到噪聲子空間，得到基于噪聲子空間的雙約束算法模型。該算法中通過模約束的輔助約束作用，將改進的雙約束算法模型轉(zhuǎn)化為單約束問題，最終解得最優(yōu)對角加載量的解析表達式。仿真結(jié)果表明改進算法能通過調(diào)整主瓣寬度優(yōu)化波束旁瓣，有效提高了抗矢量偏差的魯棒性，同時降低了運算量。
- 自適應(yīng)波束形成 /
- 雙約束Capon波束形成 /
- 信號協(xié)方差矩陣重構(gòu) /
- 噪聲子空間
Abstract: Traditional double constraint robust Capon beamforming algorithm uses Newton iterative method for solving the optimal loading, presenting the problems of low accuracy and large amount of computation. An improved Double Constraint Robust Capon Beamforming (DCRCB) algorithm is proposed in this paper. The algorithm reconstructs the signal convariance matrix, and by optimizing the projection of signal steering vector onto the noise subspace, it projects the reconstructed interference-plus-noise convariance matrix onto the noise subspace, obtaining the double constraint algorithm model based on the noise subspace. For the norm constraint is accessorial, the algorithm model can be converted into a single constraint issue and be solved into an analytical expression of optimal diagonal loading finally. Simulation results show that the improved algorithm can optimize the side lobe by adjusting the beam width of the main lobe, improve effectively the anti-vector error robustness, and reduce the amount of computation.
- Adaptive beamforming /
- Double constraint Capon beamforming /
- Signal convariance matrix reconstrcting /
- Noise subspace

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參考文獻(29)

李洪濤, 陳斌, 曾文浩, 等. 基于導(dǎo)向矢量估計的魯棒自適應(yīng)波束形成算法[J]. 電波科學(xué)學(xué)報, 2015, 30(1): 188-194.

LI Hongtao, CHEN Bin, ZENG Wenhao, et al. Steering vector estimation based robust adaptive beamforming algorithm[J]. Chinese Journal of Radio Science, 2015, 30(1): 188-194.

金偉, 賈維敏, 姚敏立, 等. 一種分解迭代二階錐規(guī)劃魯棒自適應(yīng)波束形成算法[J]. 電子與信息學(xué)報, 2012, 34(9): 2051-2057. doi: 10.3724/SP.J.1146.2012.00146.

JIN Wei, JIA Weimin, YAO Minli, et al. An robust adaptive beamforming algorithm using decomposition and iterative second-order cone programming[J]. Journal of Electronics Information Technology, 2012, 34(9): 2051-2057. doi: 10. 3724/SP.J.1146.2012.00146.

ZHAO H P, DAI Y H, ZHU D Z, et al. Robust beam-space adaptive beamforming algorithm[J]. Application Research of Computers, 2014, (4): 1151-1153.

ROH W, SEOL J Y, PARK J, et al. Millimeter-wave beamforming as an enabling technology for 5G cellular communications: theoretical feasibility and prototype results [J]. IEEE Communications Magazine, 2014, 52(2): 106-113.

李文興, 毛曉軍, 孫亞秀. 一種新的波束形成零陷展寬算法[J]. 電子與信息學(xué)報, 2014, 36(12): 2882-2888. doi: 10.3724/SP.J. 1146.2013.02018.

LI Wenxing, MAO Xiaojun, and SUN Yaxiu. A new algorithm for null broadening beamforming[J]. Journal of Electronics Information Technology, 2014, 36(12): 2882-2888. doi: 10.3724/ SP.J.1146.2013.02018.

XIA M, WU Y C, and AISSA S. Non-orthogonal opportunistic beamforming: performance analysis and implementation[J]. IEEE Transactions on Wireless Communications, 2012, 11(4): 1424-1433.

HOU Yunshan, ZHANG Xincheng, and JIN Yong. Adaptive beamforming algorithm based on interference-noise covariance matrix reconstruction[J]. Journal of Computer Applications, 2014, 34(3): 649-652. doi: 10.11772/j.issn.1001- 9081.2014.03.0649.

STOICA P, WANG Z, and LI J. Robust capon beamforming [J]. IEEE Signal Processing Letters, 2002, 1(6): 172-175.

LI J, STOICA P, and WANG Z. On robust capon beamforming and diagonal loading[J]. IEEE Transactions on Signal Processing, 2003, 51(7): 1702-1715.

LI J, STOICA P, and WANG Z. Doubly constrained robust capon beamformer[J]. IEEE Transactions on Signal Processing, 2005, 52(9): 2407-2423.

CHOI Y H. Doubly constrained robust beamforming method using subspace-associated power components[J]. Digital Signal Processing, 2015, 42(C): 43-49.

戴凌燕, 王永良, 李榮鋒, 等. 基于不確定集的穩(wěn)健Capon波束形成算法性能分析[J]. 電子與信息學(xué)報, 2009, 31(12): 2931-2936.

DAI Lingyan, WANG Yongliang, LI Rongfeng, et al. Performance analysis of robust capon beamforming based on uncertain set[J]. Journal of Electronics Information Technology, 2009, 31(12): 2931-2936.

YUAN X L, GAN L, and LIAO H S. A robust interference convariance matrix reconstruction algorithm against arbitrary interference steering vector mismatch[J]. IEICE Transactions on Fundamentals of Electronics Communications Computer Sciences, 2015, E98.A(7): 1553-1557.

林靜然, 彭啟琮, 邵懷宗, 等. 最壞情況下的魯棒自適應(yīng)波束形成算法性能分析[J]. 電子學(xué)報, 2006, 34(12): 2161-2166. doi: 10.3321/j.issn:0372-2112.2006.12.008.

LIN Jingran, PENG Qicong, SHAO Huaizong, et al. Performance analysis of robust capon beamforming based on worst-case performance optimization[J]. Acta Electronica Sinica, 2006, 34(12): 2161-2166. doi: 10.3321/j.issn:0372- 2112.2006.12.008.

徐定杰, 賀瑞, 沈鋒, 等. 一種新的穩(wěn)健Capon波束形成算法[J]. 宇航學(xué)報, 2012, 33(10): 1492-1497. doi: 10.3873/j.issn. 1000-1328.2012.10.019.

XU Dingjie, HE Rui, SHEN Feng, et al. A new algorithm for robust capon beamforming[J]. Journal of Astronautics, 2012, 33(10): 1492-1497. doi: 10.3873/j.issn.1000-1328.2012.10.019.

范展, 梁國龍, 王逸林. 一種零陷展寬魯棒自適應(yīng)波束形成算法[J]. 電子與信息學(xué)報, 2013, 35(11): 2764-2770. doi: 10.3724/SP.J.1146.2013.00087.

FAN Zhan, LIANG Guolong, and WANG Yilin. Robust adaptive beamforming with null widening[J]. Journal of Electronics Information Technology, 2013, 35(11): 2764-2770. doi: 10.3724/ SP.J.1146.2013.00087.

MAO X, LI W, LI Y, et al. Robust adaptive beamforming against signal steering vector mismatch and jammer motion [J]. International Journal of Antennas Propagation, 2015, 2015: 1-12.

陽凱, 楊善國. 一種寬零陷的自適應(yīng)波束形成算法[J]. 電子信息對抗技術(shù), 2015, 30(2): 57-61. doi: 10.3724/SP.J.1146. 2013.00087.

YANG Kai and YANG Shanguo. An adaptive beamforming algorithm with wide nulls[J]. Electronic Information Warfare Technology, 2015, 30(2): 57-61. doi: 10.3724/SP.J.1146.2013. 00087.

GU Y and LESHEM A. Robust adaptive beamforming based on interference covariance matrix reconstruction and steering vector estimation[J]. IEEE Transactions on Signal Processing, 2012, 60(7): 3881-3885.

莊學(xué)彬, 陸明泉, 馮振明. 一種數(shù)值穩(wěn)健且低復(fù)雜度的信號子空間估計新方法[J]. 電子與信息學(xué)報, 2011, 33(1): 90-94. doi: 10.3724/SP.J.1146.2009.01392.

ZHUANG Xuebin, LU Mingquan, and FENG Zhenming. A numerically robust and low-complexity method of signal subspace estimation[J]. Journal of Electronics Information Technology, 2011, 33(1): 90-94. doi: 10.3724/SP.J.1146.2009. 01392.

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