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In order to meet the demand of underwater acoustic array calibration in near field with strong reflection, a high-precision geometric calibration method with known sources is proposed. Colligating the principles of non-plane wave model of point source and the Taylor approximation, a two-dimensional geometry error model for near field is established. And then the line mapping relationship is obtained between geometric error of sensors and signal eigen vector. Cramer-Rao bound (CRB) of this mode is deduced and analyzed. The influence of multipath on geometric calibration is studied. The strong reflections are compared to the coherent sources at a known position, and the compensation strategy is realized. The results from theory and simulation show that the precision of geometry calibration technique with accessorial sources in near field is high and it is close to the CRB in the case of low SNR. The method has a certain tolerance for the position error of accessorial sources. And it is applicable for multipath. Pool test results further verify the correctness of these results.
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Keywords:
- array geometry calibration /
- near field /
- multipath /
- Cramer-Rao bound
[1] 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]
[2] Eric W, Michael A, John C 2013 J. Field Robot. 30 519
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[4] Christian M S, Stefan S, Reinhard F 2013 IEEE Trans. Antennas and Propag. 61 4063
[5] André Y, Marianna V I, Bob M 2013 IEEE Trans. Antennas and Propag. 61 3538
[6] Wang D, Yao H, Wu Y 2012 Acta Electron. Sin. 40 2382 (in Chinese) [王鼎, 姚晖, 吴瑛 2012 电子学报 40 2382]
[7] Jungtai K, Hyun J Y, Byung W J, Joohwan C 2010 IEEE Antennas and Wireless Propag. Lett. 9 1259
[8] Madhu N, Martin R 2011 IET Signal Process. 5 97
[9] Boon P N, Joni P L, Meng H E, Aigang F 2009 IEEE Trans. Antennas and Propag. 57 1963
[10] Wang Z L, Zhou M, Gao C Y, Zhang W 2012 Chin. Phys. B 21 064202
[11] Yin Y L, Zhou F, Qiao G, Liu S Z 2013 Acta Phys. Sin. 62 224302 (in Chinese) [尹艳玲, 周锋, 乔钢, 刘松佐 2013 物理学报 62 224302]
[12] Yin J W, Hui J Y, Guo L X 2008 Acta Phys. Sin. 57 1753 (in Chinese) [殷敬伟, 惠俊英, 郭龙祥 2008 物理学报 57 1753]
[13] Zhang T W, Yang K D, Ma Y L 2010 Chin. Phys. B 12 124301
[14] Hee Y P, Ki M K, Hyun W K 2008 IEEE J. Oceanic Engineer. 33 215
[15] Wan S, Chung P J, Mulgrew B 2012 IET Signal Process. 6 456
[16] Duan R, Yang K D, Ma Y L, Lei B 2012 Chin. Phys. B 21 124301
[17] Amir L, Mati M 2000 IEEE Trans. SIGNAL Process. 48 53
[18] Charles N F, Robert A S 1999 IEEE Trans. Aerospa. Electron. Syst. 35 1369
[19] Wang Y, Zou N, Fu J, Liang G L 2014 Acta Phys. Sin. 63 034302 (in Chinese) [王燕, 邹男, 付进, 梁国龙 2014 物理学报 63 034302]
[20] Anthony J W, Benjamin F 1989 IEEE Trans. Acoustics, Speech and Signal Processing 37 1958
[21] Shen M F, Liu Y, Lin L X 2009 Chin. Phys. B 18 1761
[22] Li J, Zhao Y J, Li D H 2014 Acta Phys. Sin. 63 130701 (in Chinese) [李晶, 赵拥军, 李冬海 2014 物理学报 63 130701]
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[1] 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]
[2] Eric W, Michael A, John C 2013 J. Field Robot. 30 519
[3] Shi J, Yang D S, Shi S G 2011 Acta Phys. Sin. 60 064301 (in Chinese) [时洁, 杨德森, 时胜国 2011 物理学报 60 064301]
[4] Christian M S, Stefan S, Reinhard F 2013 IEEE Trans. Antennas and Propag. 61 4063
[5] André Y, Marianna V I, Bob M 2013 IEEE Trans. Antennas and Propag. 61 3538
[6] Wang D, Yao H, Wu Y 2012 Acta Electron. Sin. 40 2382 (in Chinese) [王鼎, 姚晖, 吴瑛 2012 电子学报 40 2382]
[7] Jungtai K, Hyun J Y, Byung W J, Joohwan C 2010 IEEE Antennas and Wireless Propag. Lett. 9 1259
[8] Madhu N, Martin R 2011 IET Signal Process. 5 97
[9] Boon P N, Joni P L, Meng H E, Aigang F 2009 IEEE Trans. Antennas and Propag. 57 1963
[10] Wang Z L, Zhou M, Gao C Y, Zhang W 2012 Chin. Phys. B 21 064202
[11] Yin Y L, Zhou F, Qiao G, Liu S Z 2013 Acta Phys. Sin. 62 224302 (in Chinese) [尹艳玲, 周锋, 乔钢, 刘松佐 2013 物理学报 62 224302]
[12] Yin J W, Hui J Y, Guo L X 2008 Acta Phys. Sin. 57 1753 (in Chinese) [殷敬伟, 惠俊英, 郭龙祥 2008 物理学报 57 1753]
[13] Zhang T W, Yang K D, Ma Y L 2010 Chin. Phys. B 12 124301
[14] Hee Y P, Ki M K, Hyun W K 2008 IEEE J. Oceanic Engineer. 33 215
[15] Wan S, Chung P J, Mulgrew B 2012 IET Signal Process. 6 456
[16] Duan R, Yang K D, Ma Y L, Lei B 2012 Chin. Phys. B 21 124301
[17] Amir L, Mati M 2000 IEEE Trans. SIGNAL Process. 48 53
[18] Charles N F, Robert A S 1999 IEEE Trans. Aerospa. Electron. Syst. 35 1369
[19] Wang Y, Zou N, Fu J, Liang G L 2014 Acta Phys. Sin. 63 034302 (in Chinese) [王燕, 邹男, 付进, 梁国龙 2014 物理学报 63 034302]
[20] Anthony J W, Benjamin F 1989 IEEE Trans. Acoustics, Speech and Signal Processing 37 1958
[21] Shen M F, Liu Y, Lin L X 2009 Chin. Phys. B 18 1761
[22] Li J, Zhao Y J, Li D H 2014 Acta Phys. Sin. 63 130701 (in Chinese) [李晶, 赵拥军, 李冬海 2014 物理学报 63 130701]
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