A Robust Algorithm for DOA Estimation of Coherent Sources with UCA

Authors

  • Ye Tian 1) National Space Science Center, Chinese Academy of Sciences, Beijing, 100190, China 2)University of Chinese Academy of Sciences, Beijing, 100049, China
  • Yonghui Huang National Space Science Center, Chinese Academy of Sciences, Beijing, 100190, China
  • Xiaoxu Zhang 1) National Space Science Center, Chinese Academy of Sciences, Beijing, 100190, China 2)University of Chinese Academy of Sciences, Beijing, 100049, China
  • Meiyan Lin 1)National Space Science Center, Chinese Academy of Sciences, Beijing, 100190, China 2)University of Chinese Academy of Sciences, Beijing, 100049, China

DOI:

https://doi.org/10.13052/2022.ACES.J.370605

Keywords:

DOA Estimation, UCA, MODE, PUMA, Coherent

Abstract

Direction of arrival (DOA) estimation of coherent sources with a uniform circular array (UCA) is an intractable problem. The method-of-direction-estimation (MODE) algorithm has strong superiority in handling coherent sources compared with the classical MUSIC, and ESPRIT algorithms. However, MODE is sensitive to source numbers and does not work well in the UCA scenario. In order to improve the performance of MODE, a robust DOA estimation method named UCA-PUMA (principal-eigenvector-utilization-for-modal-analysis) is proposed. The complicated non-Vandermonde structured steering vector of UCA is transformed into a virtual Vandermonde structured steering vector in mode space. The proposed method gives a closed-form solution compared with the original UCA-MODE algorithm. The performance of the UCA-PUMA method is evaluated by simulations. Simulation results demonstrate that the UCA-PUMA is more robust to source numbers than the UCA-MODE, and coherent sources can be handled without spatial smoothing. In addition, the UCA-PUMA fully takes advantage of the UCA, which is able to discriminate sources coming from a 360o azimuthal field of view.

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Author Biographies

Ye Tian, 1) National Space Science Center, Chinese Academy of Sciences, Beijing, 100190, China 2)University of Chinese Academy of Sciences, Beijing, 100049, China

Ye Tian was born in Liaoning Province, China, in 1996. He received the B.S. degree in Nanjing University of Aeronautics and Astronautics, Nanjing, Jiangsu, China, in 2017. He is currently pursuing the Ph.D. degree in electromagnetic field and microwave technology with National Space Science Center (Beijing, China) of Chinese Academy of Sciences. His current research interests include array signal processing, DOA estimation and RF signal geolocation.

Yonghui Huang, National Space Science Center, Chinese Academy of Sciences, Beijing, 100190, China

Yonghui Huang was born in Anshan, China. He received the B.Sc. degree in electronics engineering from Tsinghua University of Beijing, China in 1998. In 2001, he obtained the M.S. degree in aero-spacecraft design from University Chinese Academy of Sciences, China. He achieved the Ph.D. degree in wireless communication from Aalborg University of Aalborg, Denmark in 2008. He is currently a professor with National Space Science Center of Chinese Academy of Science in Beijing, China. From 2002 to 2011, He worked as a Postdoc. and research assistant in Aalborg University of Aalborg, Denmark. He is currently a researcher at the National Space Science Center of the Chinese Academy of Sciences. His current research interests include radio frequency machine learning, phased array antenna and transmitter linearization. He is the TPC member of IEEE CCET and IEEE WiSEE.

Xiaoxu Zhang, 1) National Space Science Center, Chinese Academy of Sciences, Beijing, 100190, China 2)University of Chinese Academy of Sciences, Beijing, 100049, China

Xiaoxu Zhang was born in Fujian Province, China, in 1997. She received the B.S. degree in Nanjing University of Aeronautics and Astronautics, Nanjing, Jiangsu, China, in 2019. She is currently pursuing the Ph.D. degree in Computer Science and Technology with the National Space Science Center at the Chinese Academy of Sciences, Beijing, China. Her current research interests include signal sorting, RF fingerprint recognition, and deep learning.

Meiyan Lin, 1)National Space Science Center, Chinese Academy of Sciences, Beijing, 100190, China 2)University of Chinese Academy of Sciences, Beijing, 100049, China

Meiyan Lin was born in Fujian Province, China, in 1995. She received the B.S. degree in School of Electronic and Information Engineering from Beijing Jiaotong University, Beijing, China, in 2018. She is currently pursuing the Ph.D. degree in National Space Science Center at Chinese Academy of Sciences, Beijing, China. Her main research interests include statistical signal processing and emitter localization.

References

R. Schmidt, “Multiple emitter location and signal parameter estimation,” IEEE Trans. Antennas Propag., vol. 34, no. 3, pp. 276-280, 1986.

R. Roy and T. Kailath, “ESPRIT-estimation of signal parameters via rotational invariance techniques,” IEEE Trans. Acoust., Speech, Signal Process., vol. 37, no. 7, pp. 984-995, 1989.

F.-M. Han and X.-D. Zhang, “An ESPRIT-like algorithm for coherent DOA estimation,” IEEE Antennas and Wireless Propagation Letters, vol. 4, pp. 443-446, 2005.

P. Stoica, R. L. Moses, B. Friedlander, and T. Soderstrom, “Maximum likelihood estimation of the parameters of multiple sinusoids from noisy measurements,” IEEE Transactions on Acoustics, Speech, and Signal Processing, vol. 37, no. 3, pp. 378-392, 1989.

P. Stoica and K. Sharman, “Maximum likelihood methods for direction-of-arrival estimation,” IEEE Trans. Acoust., Speech, Signal Process., vol. 38, no. 7, pp. 1132-1143, 1990.

W. Xie, F. Wen, J. Liu, and Q. Wan, “Source association, DOA, and fading coefficients estimation for multipath signals,” IEEE Transactions on Signal Processing, vol. 65, no. 11, pp. 2773-2786, 2017.

W. Du and R. L. Kirlin, “Improved spatial smoothing techniques for DOA estimation of coherent signals,” IEEE Transactions on signal processing, vol. 39, no. 5, pp. 1208-1210, 1991.

C. Qi, Y. Wang, Y. Zhang, and Y. Han, ‘‘Spatial difference smoothing for DOA estimation of coherent signals,” IEEE Signal Processing Letters, vol. 12, no. 11, pp. 800-802, 2005.

L. Ni, J. Zhang, and H. Chen, “Sparse construction decorrelation algorithm of uniform circular array,” in Proceedings of the 2020 4th International Conference on Digital Signal Processing, pp. 263-267, 2020.

C. Mathews and M. Zoltowski, “Eigenstructure techniques for 2-D angle estimation with uniform circular arrays,” IEEE Trans. Signal Process., vol. 42, no. 9, pp. 2395-2407, 1994.

Z. Xu, S. Wu, Z. Yu, and X. Guang, “A robust direction of arrival estimation method for uniform circular array,” Sensors, vol. 19, no. 20, p. 4427, 2019.

Y. Ma, X. Wang, and X. Cao, “Coarray beamspace transformation based DOA estimation for uniform circular arrays,” in 2018 IEEE Radar Conference (RadarConf18), pp. 0792-0797, IEEE, 2018.

D. Zhao, W. Tan, Z. Deng, and G. Li, ‘‘Low complexity sparse beamspace DOA estimation via single measurement vectors for uniform circular array,” EURASIP Journal on Advances in Signal Processing, vol. 2021, no. 1, pp. 1-20, 2021.

T.-J. Shan, M. Wax, and T. Kailath, “On spatial smoothing for direction-of-arrival estimation of coherent signals,” IEEE Transactions on Acoustics, Speech, and Signal Processing, vol. 33, no. 4, pp. 806-811, 1985.

J. Pan, M. Sun, Y. Wang, and X. Zhang, “An enhanced spatial smoothing technique with ESPRIT algorithm for direction of arrival estimation in coherent scenarios,” IEEE Transactions on Signal Processing, vol. 68, pp. 3635-3643, 2020.

Y.-M. Chen, “On spatial smoothing for two-dimensional direction-of-arrival estimation of coherent signals,” IEEE Transactions on Signal Processing, vol. 45, no. 7, pp. 1689-1696, 1997.

M. Wax and J. Sheinvald, “Direction finding of coherent signals via spatial smoothing for uniform circular arrays,” IEEE Transactions on Antennas and Propagation, vol. 42, no. 5, pp. 613-620,1994.

Z. Ye, L. Xiang, and X. Xu, “DOA estimation with circular array via spatial averaging algorithm,” IEEE Antennas and Wireless Propagation Letters, vol. 6, pp. 74-76, 2007.

K. M. Reddy and V. Reddy, “Analysis of spatial smoothing with uniform circular arrays,” IEEE Transactions on Signal Processing, vol. 47, no. 6, pp. 1726-1730, 1999.

P. Stoica, B. Ottersten, M. Viberg, and R. L. Moses, “Maximum likelihood array processing for stochastic coherent sources,” IEEE Transactions on Signal Processing, vol. 44, no. 1, pp. 96-105, 1996.

A. B. Gershman and P. Stoica, “New MODE-based techniques for direction finding with an improved threshold performance,” Signal Processing, vol. 76, no. 3, pp. 221-235, 1999.

C. Ma, Y. Peng, and L. Tian, “An improved MODE algorithm for DOA estimation based on UCA,” in TENCON ’97 Brisbane - Australia. Proceedings of IEEE TENCON ’97. IEEE Region 10 Annual Conference. Speech and Image Technologies for Computing and Telecommunications (Cat. No. 97CH36162), vol. 2, pp. 811-814 vol. 2,1997.

H. C. So, F. K. W. Chan, W. H. Lau, and C.-F. Chan, “An efficient approach for two-dimensional parameter estimation of a single-tone,” IEEE Trans. Signal Process., vol. 58, no. 4, pp. 1999-2009, 2010.

H. Minghao, Y. Yixin, and Z. Xianda, “UCA-ESPRIT algorithm for 2-D angle estimation,” in WCC 2000 - ICSP 2000. 2000 5th International Conference on Signal Processing Proceedings. 16th World Computer Congress 2000, vol. 1, pp. 437-440, 2000.

R. Goossens, H. Rogier, and S. Werbrouck, “UCA Root-MUSIC with sparse uniform circular arrays,” IEEE Trans. Signal Process., vol. 56, no. 8, pp. 4095-4099, 2008.

C. Qian, L. Huang, M. Cao, J. Xie, and H. C. So, “PUMA: An improved realization of MODE for DOA estimation,” IEEE Trans. Aerosp. Electron. Syst., vol. 53, no. 5, pp. 2128-2139, 2017.

C. Qian, L. Huang, N. D. Sidiropoulos, and H. C. So, “Enhanced PUMA for Direction-of-Arrival estimation and its performance analysis,” IEEE Trans. Signal Process., vol. 64, no. 16, pp. 4127-4137, 2016.

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Published

2022-12-14

How to Cite

[1]
Y. . Tian, Y. . Huang, X. . Zhang, and M. . Lin, “A Robust Algorithm for DOA Estimation of Coherent Sources with UCA”, ACES Journal, vol. 37, no. 06, pp. 692–701, Dec. 2022.

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