Based on the dual uniform circular array, a self-calibration algorithm is proposed in the presence of mutual coupling, which can calibrate the mutual coupling in circular array and between two circular arrays at the same time. The algorithm utilizes the special mutual coupling matrix characteristic of dual uniform circular array to decouple angle information and mutual coupling coefficients. With less amount of calculation, the signal angle and the mutual coupling coefficients are estimated in turn. Finally, the cascade estimation is completed. The algorithm reduces the dimension of searching without any prior information about mutual coupling coefficient matrix and need not extra auxiliary source. So it can be easily implemented. Theory analysis and simulation results illustrate that the new algorithm has high precision and resolution, hence, it can effectively solve the problem of mutual coupling for the dual circular array.
LÜ Xiaode, GAO Benqing, and LIU Ruixiang. A study on the geometry of smart antenna with low side-lobe[J]. Journal of Microwaves, 2000, 16(5): 593-598. doi: 10.3969/j.issn.1005- 6122.2000.z1.023.
[2]
HENAULT S and ANTAR Y M M. Unifying the theory of mutual coupling compensation in antenna arrays[J]. IEEE Antennas and Propagation Magazine, 2015, 57(2): 104-122. doi: 10.1109/MAP.2015.2414514.
[3]
HENAULT S, PODILCHAK S K, MIKKI S M, et al. A methodology for mutual coupling estimation and compensation in antennas[J]. IEEE Transactions on Antennas and Propagation, 2013, 61(3): 1119-1131. doi: 10.1109/TAP.2012.2229955.
WANG Ding and WU Ying. The multiplicative array errors calibration algorithms in the presence of multipath[J]. Scientia Sinica Information, 2015, 45(2): 270-288. doi: 10.1360/N112013-00060.
[5]
WANG M, MA X, YAN S, et al. An auto-calibration algorithm for uniform circular array with unknown mutual coupling[J]. IEEE Antennas and Wireless Propagation Letters, 2015, 15(6): 12-15. doi: 10.1109/LAWP.2015.2425423.
[6]
BELFIORI F, MONNI S, VAN R W, et al. Antenna array characterisation and signal processing for an FM radio-based passive coherent location radar system[J]. IET Radar, Sonar & Navigation, 2012, 6(8): 687-696. doi: 10.1049/iet-rsn. 2011.0401.
LÜ Xiaoyong and WANG Jun. Mutual coupling compensation in 8-element uniform circular array[J]. Systems Engineering and Electronics, 2015, 37(10): 2212-2216. doi: 10.3969/ j.issn.1001-506X.2015.10.02.
[8]
WANG D and WU Y. The array errors active calibration algorithm based on instrumental sensors[J]. Science China Information Sciences, 2011, 54(7): 1500-1511. doi: 10.1007/s11432-011-4233-8.
[9]
LI Weixing, LIN jianzhi, ZHANG Yue, et al. Joint calibration algorithm for gain-phase and mutual coupling errors in uniform linear array[J]. Chinese Journal of Aeronautics, 2016, 29(4): 1065-1073. doi: 10.1016/j.cja.2016.04.018.
[10]
YE Z F and LIU C. On the resiliency of MUSIC direction finding against antenna sensor coupling[J]. IEEE Transactions on Antennas and Propagation, 2008, 56(2): 371-380. doi: 10.1109/TAP.2007.915461.
HU Weiwei, WANG Changming, and ZHANG Aijun. Study of 2-D DOA estimation and self-calibration algorithm for TCA in the presence of mutual coupling[J]. Systems Engineering and Electronics, 2014, 36(5): 824-830. doi: 10.3969/j.issn.1001-506X.2014.05.03.
[12]
YE Z F, DAI J S, XU X, et al. DOA estimation for uniform linear array with mutual coupling[J]. IEEE Transactions on Aerospace and Electronic Systems, 2009, 45(1): 280-288. doi: 10.1109/TAES.2009.4805279.
[13]
HU X Q, CHEN H, WANG Y L, et al. A self-calibration algorithm for cross array in the presence of mutual coupling[J]. Science China Information Sciences, 2011, 54(4): 836-848. doi: 10.1007/s11432-010-4144-0.
SI Weijian, WU Di, CHEN Tao, et al. Cascade estimation method of mutual coupling matrix and direction of arrival[J]. Journal of Electronics & Information Technology, 2014, 36(7): 1599-1604. doi: 10.3724/SP.J.1146.2013.01330.
YIN Jiexin, WU Ying, and WANG Ding. Auto-calibration method for noncircular sources in the presence of mutual coupling of multiple subarrays[J]. Acta Electronica Sinica, 2015, 43(9): 1696-1704. doi: 10.3969/j.issn.0372-2112.2015. 09.004.
WANG Yongliang, CHEN Hui, PENG Yingning, et al. Theory and Algorithms of Spatial Spectrum Estimation[M]. Beijing: Tsinghua University Press, 2004: 419-443.