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In practical applications such as mobile communication, radar and sonar, the effect of angular spread on the source energy can no longer be ignored due to multipath phenomena. Therefore, a spatially distributed source model is more realistic than the point source mode in these complex cases. A lot of direction-of-arrival (DOA) estimation methods for distributed sources have been published. Whereas researches concentrated on the complex circular signal case, the noncircular property of signal can be employed to further improve the estimation performance, which has received extensive attention recently. To date, several low-complexity DOA estimation algorithms for two-dimensional (2D) coherently distributed (CD) noncircular sources have been proposed. However, all these algorithms need obtain the approximate shift invariance relationship between the sub-arrays by applying the one-order Taylor series approximation to the generalized steering vectors, which may introduce additional errors and affect the estimation accuracy. In this paper, a novel 2D DOA estimation algorithm based on the symmetric shift invariance relationship is proposed using the centro-symmetric three-dimensional (3D) linear arrays. Firstly, the extended array model is established by exploiting the noncircularity of the signal. Then, it is proved that the deterministic angular distribution function vector of the CD source has a symmetrical property for arbitrary centro-symmetric array, based on which the symmetric shift invariance relationships of extended generalized steering vectors are established in the three sub-arrays of 3D linear arrays. On the premise of such relationships, the center azimuth and elevation DOAs are obtained by the polynomial rooting method without spectral peak searching. Finally, the cost function implementing the parameter matching is constructed by the symmetric shift invariance relationship of the generalized steering vector of the whole array. Theoretical analysis and simulation experiment show that compared with the existing low-complexity algorithms, the proposed algorithm avoids the additional errors introduced by the Taylor series approximation, which allows it to achieve higher estimation accuracy with the small complexity cost. Moreover, the proposed algorithm can achieve omnidirectional angle estimation in the three-dimensional space.
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Keywords:
- coherently distributed source /
- noncircular source /
- 3D linear arrays /
- symmetric shift invariance
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[20] Yang X, Li G J, Zheng Z 2013 International Conference on Wireless Communication Signal Processing Hangzhou, China, October 24-26, 2013 p1
[21] Eckhoff R 1998 IEEE International Symposium on Personal, Indoor and Mobile Radio Communication Boston, Massachusetts, September 8-11, 1998 p471
[22] Yang Z Q, Li S M (in Chinese) [杨正权, 李思敏 2001 通信学报 22 8]
[23] Shi Y, Huang L, Qian C, So H C 2015 IEEE Trans. Aerosp. Electron. Syst. 51 1267
[24] Yan F, Shen Y, Jin M, Qiao X 2016 J. Syst. Eng. Electron. 27 739
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[1] Krim H, Viberg M 1996 IEEE Signal Process. Mag. 13 67
[2] Liang G L, Ma W, Fan Z, Wang Y L 2013 Acta Phys. Sin. 62 144302 (in Chinese) [梁国龙, 马巍, 范展, 王逸林 2013 物理学报 62 144302]
[3] Ba B, Liu G C, Li T, Fan Z, Lin Y C, Wang Y 2015 Acta Phys. Sin. 64 078403 (in Chinese) [巴斌, 刘国春, 李韬, 范展, 林禹丞, 王瑜 2015 物理学报 64 078403]
[4] Valaee S, Champagne B, Kabal P 1995 IEEE Trans. Signal Process. 43 2144
[5] Zheng Z 2011 Ph. D. Dissertation(Chengdu: University of Electronic Science and Technology) (in Chinese) [郑植2011 博士学位论文 (成都:电子科技大学)]
[6] Jiang H, Zhou J, Hisakazu K, Shao G 2014 Acta Phys. Sin. 63 048702 (in Chinese) [江浩, 周杰, 菊池久和, 邵根富 2014 物理学报 63 048702]
[7] Cao R Z, Gao F, Zhang X 2016 IEEE Trans. Signal Process. 64 1
[8] Shahbazpanahi S, Valaee S, Bastani M H 2001 IEEE Trans. Signal Process. 49 2169
[9] Hassanien A, Shahbazpanahi S, Gershman A B 2004 IEEE Trans. Signal Process. 52 280
[10] Shahbazpanahi S, Valaee S, Gershman A B 2004 IEEE Trans. Signal Process. 52 592
[11] Sieskul B T 2010 IEEE Trans. Vehicul. Technol. 59 1534
[12] Yang X, Li G J, Zheng Z 2014 J. Electron. Informat. Technol. 36 164 (in Chinese) [杨学敏, 李广军, 郑植 2014 电子与信息学报 36 164]
[13] Boujemaa H 2005 European Trans. Telecommun. 16 557
[14] L T, Tan F, Gao H, Yang G 2016 Signal Process. 121 30
[15] Lee J, Song I, Kwon H, Lee S R 2003 Signal Process. 83 1789
[16] Guo X S, Wan Q, Yang W L, Lei X M 2009 Sci. China:Infor. Sci. 52 835
[17] Zheng Z, Li G, Teng Y 2012 Wireless Pers. Commun.62 907
[18] Yin J X, Wu Y, Wang D (in Chinese) [尹洁昕, 吴瑛, 王鼎 2014 通信学报 2 153]
[19] Yang X, Li G, Zheng Z, Zhong L 2014 Wireless Pers. Commun. 78 1095
[20] Yang X, Li G J, Zheng Z 2013 International Conference on Wireless Communication Signal Processing Hangzhou, China, October 24-26, 2013 p1
[21] Eckhoff R 1998 IEEE International Symposium on Personal, Indoor and Mobile Radio Communication Boston, Massachusetts, September 8-11, 1998 p471
[22] Yang Z Q, Li S M (in Chinese) [杨正权, 李思敏 2001 通信学报 22 8]
[23] Shi Y, Huang L, Qian C, So H C 2015 IEEE Trans. Aerosp. Electron. Syst. 51 1267
[24] Yan F, Shen Y, Jin M, Qiao X 2016 J. Syst. Eng. Electron. 27 739
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