Abstract
To determine the number of signals arriving on an array of sensors correctly is very important for most high resolution DOA (direction of arrival) estimation algorithms, the methods based on information theoretic criteria have good properties when there is a large snapshots, while it always leads to an error in the small snapshots field. A method based on the exact distribution of the eigenvalues of the sampling covariance matrix is proposed in the paper, it makes use of the model of information theoretic criteria at the same time, the new method has excellent performance when the snapshots is small, the computer simulation results prove the effective performance of the method.
This work was supported by the National Natural Science Foundation of China under Grant 61501176, Natural Science Foundation of Heilongjiang Province F2018025, University Nursing Program for Young Scholars with Creative Talents in Heilongjiang Province UNPYSCT-2016017, the postdoctoral scientific research developmental fund of Heilongjiang Province in 2017 LBH-Q17149.
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References
Schmidt, R.O.: Multiple emitter location and signal parameter estimation. IEEE Trans. Antennas Propag. 34(3), 276–280 (1986)
Roy, R., Kailath, T.: ESPRIT-estimation of signal parameters via rotational invariance techniques. IEEE Trans. Acoust. Speech Signal Process. 37(7), 984–995 (1989)
Ferreira, T.N., Netto, S.L., Diniz, P.S.R.: Direction of arrival estimation using a low-complexity covariance-based approach. IEEE Trans. Aerosp. Electron. Syst. 48(3), 1924–1934 (2012)
Zhong, X.H., Premkumar, A.B., Madhukumar, A.S.: Particle filtering and posterior Cramér-Rao bound for 2-D direction of arrival tracking using an acoustic vector sensor. IEEE Sens. J. 12(2), 363–377 (2011)
Froehle, M., Meissner, P., Witrisal, K.: Tracking of UWB multipath components using probability hypothesis density filters. In: 2012 Proceedings of the International Conference on Ultra-Wideband, New York, USA, pp. 306–310 (2012)
Choliz, J., Angela, H.S., Valdovinos, A.: Evaluation of algorithms for UWB indoor tracking. In: 2011 Proceedings of Positioning Navigation and Communication, Dresden, Germany, pp. 143–148 (2011)
Kristine, L.B., Robert, E.Z., Rebecca, W.: MAP-PF wideband multitarget and colored noise tracking. In: 2010 Proceedings of Acoustics Speech and Signal Processing, Texas, USA, pp. 2710–2713 (2010)
Bryan, D.R., Roberto, G.R.: Wideband tracking of characteristic modes. In: 2011 Proceedings of the 5th European Conference on Antennas and Propagation, Rome, Italy, pp. 1978–1981 (2011)
Wu, H.T., Yang, J.F., Chen, F.K.: Source number estimators using transformed Gerschgorin radii. IEEE Trans. Signal Process. 43(6), 1325–1333 (1995)
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© 2019 ICST Institute for Computer Sciences, Social Informatics and Telecommunications Engineering
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Guo, B., Zhen, J. (2019). A Method of Estimating Number of Signal with Small Snapshots. In: Liu, S., Yang, G. (eds) Advanced Hybrid Information Processing. ADHIP 2018. Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering, vol 279. Springer, Cham. https://doi.org/10.1007/978-3-030-19086-6_25
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DOI: https://doi.org/10.1007/978-3-030-19086-6_25
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