一種基于旋轉(zhuǎn)測(cè)量的陣列幅相誤差校正新方法

程豐; 龔子平; 張馳; 萬(wàn)顯榮

doi:10.11999/JEIT161058

一種基于旋轉(zhuǎn)測(cè)量的陣列幅相誤差校正新方法

doi: 10.11999/JEIT161058

基金項(xiàng)目:

CEMEE國(guó)家重點(diǎn)實(shí)驗(yàn)室主任基金(CEMEE2014 Z0101B)，國(guó)家自然科學(xué)基金(U1333106, 61331012, 61371197)，國(guó)家重點(diǎn)研發(fā)計(jì)劃(2016YFB0502403)

計(jì)量
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出版歷程
- 收稿日期: 2016-10-12
- 修回日期: 2017-04-24
- 刊出日期: 2017-08-19

A New Rotation Measurement-based Method for Array Gain-phase Errors Calibration

Funds:

The Director Foundation of The State Key Laboratory of CEMEE (CEMEE2014Z0101B), The National Natural Science Foundation of China (U1333106, 61331012, 61371197), The National Key RD Plan (2016YFB0502403)

摘要

摘要: 校正源信號(hào)方向角不容易精確測(cè)量，限制了陣列有源校正方法的精度。另一方面，無(wú)源校正方法難以應(yīng)用于存在大陣列誤差的場(chǎng)合，其實(shí)際應(yīng)用也受到嚴(yán)重限制。該文提出一種基于旋轉(zhuǎn)測(cè)量的陣列幅相誤差校正新方法，無(wú)需測(cè)量校正源信號(hào)方向角就能獲得較高的校正精度。該方法利用已知的陣列旋轉(zhuǎn)角度，基于最大似然準(zhǔn)則獲得陣列幅相誤差、校正源信號(hào)方向角及其復(fù)振幅的無(wú)模糊估計(jì)。相對(duì)于校正源信號(hào)方向角，陣列旋轉(zhuǎn)角度通過(guò)專用測(cè)試轉(zhuǎn)臺(tái)更容易精確測(cè)量，因此該方法能以較小的代價(jià)獲得很高的校正精度。仿真實(shí)驗(yàn)驗(yàn)證了該方法的有效性和通用性。
- 陣列校正 /
- 幅相誤差 /
- 校正精度 /
- 旋轉(zhuǎn)測(cè)量 /
- 測(cè)試轉(zhuǎn)臺(tái)
Abstract: It is not easy to accurately measure the direction angles of calibration-source signals, which limits the precision of array active-calibration methods. On the other hand, passive-calibration methods are difficult to apply to the presence of large array errors, which severely limits their practical applications. This paper proposes a rotation measurement-based method to calibrate array gain-phase errors, which can achieve high calibration precision without measuring the direction angles of calibration-source signals. Using the known array-rotation angles, the maximum likelihood-based method is able to simultaneously estimate the array gain-phase errors, direction angles and complex amplitudes of calibration-source signals without ambiguity. Compared with accurately measuring the direction angles of calibration-source signals, accurately measuring the array-rotation angles is much easier to be accomplished with a special test turntable, thus the proposed method can achieve quite high calibration precision at a low cost. Some simulation tests demonstrate the effectiveness and generality of the proposed method.
- Array calibration /
- Gain-phase errors /
- Calibration precision /
- Rotation measurement /
- Test turntable

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參考文獻(xiàn)(35)

KRIM H and VIBERG M. Two decades of array signal processing research[J]. IEEE Signal Processing Magazine, 1996, 13(4): 67-94. doi: 10.1109/79.526899.

SWINDLEHURST A and KAILATH T. A performance analysis of subspace based method in the presence of model errors, part I: The MUSIC algorithm[J]. IEEE Transactions on Signal Processing, 1992, 40(7): 1758-1774. doi: 10.1109/ 78.143447.

FERROL A, LARZABAL P, and VIBERG M. Statistical analysis of the MUSIC algorithm in the presence of modeling errors, taking into account the resolution probability[J]. IEEE Transactions on Signal Processing, 2010, 58(8): 4156-4166. doi: 10.1109/TSP.2010.2049263.

曹圣紅. 存在陣列誤差條件下波達(dá)方向估計(jì)算法研究[D]. [博士論文], 中國(guó)科學(xué)技術(shù)大學(xué), 2014.

CAO Shenghong. Direction of arrival estimation algorithms in the presence of array error[D]. [Ph.D. dissertation], University of Science and Technology of China, 2014.

閆路. 基于陣列誤差分析的穩(wěn)健自適應(yīng)波束形成算法研究[D]. [碩士論文], 北京理工大學(xué), 2015.

YAN Lu. Research on robust adaptive beamforming based on analysis of array error[D]. [Master dissertation], Beijing Institute of Technology, 2015.

王永良, 陳輝, 彭應(yīng)寧, 等. 空間譜估計(jì)理論與算法[M]. 北京: 清華大學(xué)出版社, 2004: 415-465.

WANG Yongliang, CHEN Hui, PENG Yingning, et al. Spatial Spectrum Estimation Theory and Algorithms[M]. Beijing: Tsinghua University Press, 2004: 415-465.

TUNCER E and FRIEDLANDER B. Classical and Modern Direction-of-Arrival Estimation[M]. Burlington, MA: Academic, 2009: 93-124.

劉書(shū). 波達(dá)方向估計(jì)中陣列誤差聯(lián)合校正算法研究[D]. [碩士論文], 重慶大學(xué), 2015.

LIU Shu. The research of joint calibration algorithms in DOA estimation[D]. [Master dissertation], Chongqing University, 2015.

張馳. 傳感器陣列幅相誤差校正方法研究[D]. [碩士論文], 武漢大學(xué), 2015.

ZHANG Chi. Research on sensor array calibration techniques of amplitude and phase error[D]. [Master dissertation], Wuhan University, 2015.

NG B C and SEE C M S. Sensor-array calibration using a maximum likelihood approach[J]. IEEE Transactions on Antennas and Propagation, 1996, 44(6): 827-835. doi: 10.1109 /8.509886.

STAVROPOULOS K V and MANIKAS A. Array calibration in the presence of unknown sensor characteristics and mutual coupling[C]. Proceedings of the European Signal Processing Conference, Tampere, Finland, 2000, 3: 1417-1420.

王鼎, 吳瑛. 多徑條件下的乘性陣列誤差有源校正算法[J]. 中國(guó)科學(xué): 信息科學(xué), 2015, 45(2): 270-288. doi: 10.1360/ N112013-00060.

WANG Ding and WU Ying. The multiplicative array errors calibration algorithms in the presence of multipath[J]. Scientia Sinica Informationis, 2015, 45(2): 270-288. doi: 10.1360/N112013-00060.

張柯, 程菊明, 付進(jìn). 陣列通道不一致性誤差快速有源校正算法[J]. 電子與信息學(xué)報(bào), 2015, 37(9): 2110-2116. doi: 10.11999 /JEIT141651.

ZHANG Ke, CHENG Juming, and FU Jin. Fast active error calibration algorithm for array channel uncertainty[J]. Journal of Electronics Information Technology, 2015, 37(9): 2110-2116. doi: 10.11999/JEIT141651.

王敏, 馬曉川, 鄢社鋒, 等. 陣列幅度/相位誤差的有源校正新方法[J]. 信號(hào)處理, 2015, 31(11): 1389-1395. doi: 10.3969/ j.issn.1003-0530.2015.11.001.

WANG Min, MA Xiaochuan, YAN Shefeng, et al. New calibration method for array gain and phase errors with signal sources[J]. Journal of Signal Processsing, 2015, 31(11): 1389-1395. doi: 10.3969/j.issn.1003-0530.2015.11.001.

LI Qiong, GAN Long, and YE Zhongfu. An overview of self- calibration in sensor array processing[C]. 6th International Symposium on Antennas, Propagation and the EM Theory Proceedings, Beijing, 2003: 279-282. doi: 10.1109/ISAPE. 2003.1276682.

FRIEDLANDER B and WEISS A J. Direction finding in the presence of mutual coupling[J]. IEEE Transactions on Antennas and Propagation, 1991, 39(3): 273-284. doi: 10.1109 /8.76322.

LIU Aifei, LIAO Guisheng, ZENG Cao, et al. An eigenstructure method for estimating DOA and sensor gain- phase errors[J]. IEEE Transactions on Signal Processing, 2011, 59(12): 5944-5956. doi: 10.1109/TSP.2011.2165064.

DAI Zheng, SU Weimin, GU Hong, et al. Sensor gain-phase errors estimation using disjoint sources in unknown directions[J]. IEEE Sensors Journal, 2016, 16(10): 3724-3730. doi: 10.1109/JSEN.2016.2531282.

景小榮, 楊洋, 張祖凡, 等. 高斯噪聲背景下多用戶波達(dá)方向估計(jì)與互耦自校正[J]. 電子與信息學(xué)報(bào), 2014, 36(5): 1266-1270. doi: 10.3724/SP.J.1146.2013.01042.

JING Xiaorong, YANG Yang, ZHANG Zufan, et al. Multiuser DOA estimation and mutual coupling error self-calibration in Gaussian noise backgrounds[J]. Journal of Electronics Information Technology, 2014, 36(5): 1266-1270. doi: 10.3724 /SP.J.1146.2013.01042.

HUNG E K L. A critical study of a self-calibrating direction- finding method for arrays[J]. IEEE Transactions on Signal Processing, 1994, 42(2): 471-474. doi: 10.1109/78.275633.

FLIELLER A, FERROL A, LARZABAL P, et al. Robust bearing estimation in the presence of direction-dependent modelling errors: Identiability and treatment[C]. IEEE International Conference on Acoustics, Speech and Signal Processing, Detroit, USA, 1995, 3: 1884-1887. doi: 10.1109 /ICASSP.1995.480579.

KAY S M. Fundamentals of Statistical Signal Processing: Estimation Theory[M]. Englewood Cliffs, NJ: Prentice-Hall, 1993: 254260.

張賢達(dá). 矩陣分析與應(yīng)用[M]. 北京: 清華大學(xué)出版社, 2004: 101-105.

ZHANG Xianda. Matrix Analysis and Applications[M]. Beijing: Tsinghua University Press, 2004: 101-105.

張建新. 天線測(cè)試轉(zhuǎn)臺(tái)的結(jié)構(gòu)設(shè)計(jì)及對(duì)準(zhǔn)誤差分析研究[D]. [碩士論文], 哈爾濱工業(yè)大學(xué), 2015.

ZHANG Jianxin. Structure design and alignment error analysis of the antenna test turntable[D]. [Master dissertation], Harbin Institute of Technology, 2015.

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