Abstract
Estimation of source number is a fundamental problem of direction-of-arrival (DOA) estimation. In the problem of DOA estimation under the coexistence of circular and various noncircular signals, the source number should be estimated in order to distinguish the signal subspace from the noise subspace. Thus, a new method for source number estimation is proposed in this paper. Using the approach of k-means clustering, the projections of a one-dimensional reduced covariance matrix are divided into two categories. Then the signal subspace and the noise subspace are separated by the optimal classification boundary of those two categories so as to obtain the equivalent source number. Simulation results show that the proposed method has relatively better performance even in low SNR or in a colored noise environment.






Similar content being viewed by others
References
H. Abeida, J.P. Delmas, Stochastic Cramér–Rao bound of DOA estimates for non-circular Gaussian signals, in IEEE ICASSP, vol. 2 (2004), pp. 253–256
P. Chargé, Y. Wang, J. Saillard, A root MUSIC algorithm for non circular sources, in IEEE ICASSP, vol. 5 (2001), pp. 2985–2988
F. Gao, Y. Wang, A. Nallanathan, Improved MUSIC by exploiting both real and complex sources, in MILCOM 2006, Washington DC, USA, Oct 1–6 (2006)
F. Gao, A. Nallanathan, Y. Wang, Improved MUSIC under the coexistence of both circular and noncircular sources. IEEE Trans. Signal Process. 56(7), 3033–3038 (2008)
P. Gounon, C. Adnet, J. Galy, Localization angulaire de signaux non circulaires. Trait. Signal 15(1), 17–23 (1998)
M. Haardt, F. Römer, Enhancements of unitary ESPRIT for non-circular sources, in IEEE ICASSP, Montreal, QC, Canada, May 2, vol. 2 (2004), pp. 101–104
S.B. Hassen, A. Samet, F. Bellili, S. Affes, Closed form expression for the Cramér–Rao lower bound for the DOA estimates from spatially and temporally correlated narrowband signals considering noncircular sources, in ComNet, Tozeur, Tunisia, Nov 1–7 (2010)
Z.M. Liu, Z.T. Huang, J. Liu, Y.Y. Zhou, Source enumeration for non-circular signals in complicated environment. Syst. Eng. Electron. 31(7), 1606–1610 (2009)
C.P. Mathews, Enhancing UCA-ESPRIT for non-circular sources, in ISSPA, Sharjah, United Arab Emirates, Feb 1–4 (2007)
F. Römer, M. Haardt, Efficient 1-D and 2-D DOA estimation for non-circular sources with hexagonal shaped ESPAR arrays, in IEEE ICASSP, vol. 4 (2006), pp. 881–884
F. Römer, M. Haardt, Multidimensional unitary tensor-ESPRIT for non-circular sources, in ICASSP, Taipei, Taiwan, Apr (2009), pp. 3577–3580
W.T. Shi, J.G. Huang, Y.S. Hou, Beamspace conjugate MUSIC algorithm for non-circular signals. Syst. Eng. Electron. 31(10), 2317–2319 (2009)
W.J. Si, T. Zhu, M.Y. Zhang, New eigenspace-based approach to estimate the number of sources in background of colored noise. Syst. Eng. Electron. 33(8), 26–30 (2011)
P. Stoica, M. Cedervall, Detection tests for array processing in unknown correlated noise fields. IEEE Trans. Signal Process. 45(9), 2351–2362 (1997)
M. Wax, T. Kailath, Detection of signals by information theoretic criteria. IEEE Trans. Acoust. Speech Signal Process. 33(2), 387–392 (1985)
H.T. Wu, J.F. Yang, F.K. Chen, Source number estimators using transformed Gerschgorin radii. IEEE Trans. Signal Process. 43(6), 1325–1333 (1995)
C.D. Zheng, A study of spatial spectrum estimation techniques for non-circular sources, Xidian University, Xi’an, 2006
C.D. Zheng, D.Z. Feng, Y. Zhou, Detection of number of sources via exploitation of non-circular property. J. Xidian Univ. 33(3), 466–470 (2006)
C.D. Zheng, D.Z. Feng, Y. Zhou, G. Lei, Real-value algorithm of ESPRIT via exploitation of non-circular sources property. J. Electron. Inf. Technol. 30(1), 130–133 (2008)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Si, W., Zhu, T. & Zhang, M. A New Approach for Estimating the Number of Sources Under the Coexistence of Circular and Various Noncircular Sources. Circuits Syst Signal Process 32, 3107–3119 (2013). https://doi.org/10.1007/s00034-013-9590-7
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00034-013-9590-7