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DOA Estimation Using Second-Order Differential of Invariant Noise MUSIC (SODIN-MUSIC)

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Abstract

Sensor arrays are widely used to locate the radiating sources by estimating the direction of arrival (DOA) of their incident signals. Among the most well-known methods employed for DOA estimation is the multiple signal classification (MUSIC). MUSIC provides outstanding performance in estimating DOAs in good propagation environments; however, it fails to estimate the DOAs in severe environments like low signal-to-noise ratio, small number of snapshots, when the incident waves are coming from close angles or when the sources are highly correlated. In this paper, we propose a new approach for DOA estimation with super-resolution capabilities and high accuracy even in the severe environments. The proposed approach is based on computing the second-order differential of invariant noise MUSIC (SODIN-MUSIC) spectrum. SODIN-MUSIC benefits from extracting useful information provided by the second-order differential of MUSIC spectrum and also utilizing the invariance property of noise subspace with respect to changing the power of the emitted signals. In this paper, the proposed SODIN-MUSIC method is developed to estimate both one-dimensional and two-dimensional DOA with any arbitrary array configurations. The simulation results show that SODIN-MUSIC yields superior performance in all distinct environments if compared to both conventional MUSIC and other newly developed MUSIC-based methods.

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References

  1. C.A. Balanis, P. Ioannides, Introduction to Smart Antennas (Morgan & Claypool Publishers, San Rafael, 2007)

    Google Scholar 

  2. A.J. Barabell, in Improving the resolution performance of eigenstructure based direction-finding algorithms. Proceedings ICASSP’83, Boston, USA (April 1983), p. 336–339

  3. G. Bienvenu, N.L. Owsley, High Resolution Passive Array Processing: An Overview of Principles, in High Resolution Methods in Underwater Acoustics, ed. by M. Bouvet, G. Bienvenu. (Springer, Berlin, 1991), pp. 7–28

  4. K.M. Buckley, X.L. Xu, Spatial spectrum estimation in a location sector. IEEE Trans. Acoust. Speech Signal Process. 38, 1842–1852 (1990)

    Article  Google Scholar 

  5. J.P. Burg.: Maximum Entropy Spectral Analysis. Paper Presented at 37th Annual Meeting. (Society of Exploration in Geophysics, Oklahoma City, 1967)

  6. J. Capon, High resolution frequency wave number spectrum analysis. IEEE Proc. 57, 1408–1418 (1969)

    Article  Google Scholar 

  7. J. Foutz, A. Spanias, M.K. Banavar, Narrowband Direction of Arrival Estimation for Antenna Arrays (Morgan & Claypool, San Rafael, 2008)

    Google Scholar 

  8. B. Friedlander, in Wireless Direction—Finding Fundamentals. Appears in Chapter 1 in Classical and Modern Direction of Arrival Estimation (Elsevier, Amsterdam, 2009), p. 1–47

  9. L.C. Godara, Smart Antennas (CRC Press, Boca Raton, 2004)

    Book  Google Scholar 

  10. S. Haykin, Array Signal Processing (Prentice Hall, Upper Saddle River, 1985)

    MATH  Google Scholar 

  11. K. Ichige, Y. Ishikawa, H. Arai, in Accurate Direction-of-Arrival Estimation Using Second-Order Differential of MUSIC Spectrum Proceedings of International Symposium on Intelligent Signal Processing and Communication Systems, no. WPM1-1-2 (2006)

  12. K. Ichige, Y. Ishikawa, H. Arai, in High Resolution 2-D DOA Estimation Using Second-Order Partial-Differential of MUSIC Spectrum IEEE International Symposium on Circuits and Systems, Seattle, WA. ISCAS (2008)

  13. D.H. Johnson, The application of spectral estimation methods to bearing estimation problems. IEEE Proc. 70, 1018–1028 (1982)

    Article  Google Scholar 

  14. M. Kaveh, A.J. Barabell, in The Statistical Performance of the MUSIC and the Minimum-Norm Algorithms in Resolving Plane Waves in N. IEEE Transaction Acoustics, Speech, Signal Processing, vol.ASSP-34 (1986) no. (2), p. 331–341

  15. H. Krim, M. Viberg, Two decades of array signal processing research. IEEE Signal Process. Mag. 13, 67–94 (1996)

    Article  Google Scholar 

  16. R. Kumaresan, D.W. Tufts, Estimating of the angles of arrival of multiple plane waves. IEEE Trans. Aerosp. Electron. Syst. 19, 134–139 (1983)

    Article  Google Scholar 

  17. M. Kwakkernaat, Y. De Jong, M. Herben, in Mobile High-Resolution Direction Finding of Multipath Radio Waves in Azimuth and Elevation, The First Annual IEEE Benelux/dsp Valley Signal Processing Symposium (SPS-DARTS), Antwerp, Belgium (2005)

  18. M.-H. Li, Y.-L. Lu, in Improving the Performance of GA-ML DOA Estimator with Resampling Scheme. Signal Processing (Elsevier, Amsterdam, 2004), p. 1813–1822

  19. D.-H. Liu, X. Wu, B.-Y. Wen, F. Cheng, Application of ESPRIT in broad beam HF ground wave radar sea surface current mapping. Wuhan Univ. J. Nat. Sci. 9(2), 209–214 (2004)

    Article  Google Scholar 

  20. A. Olfat, S.N. Esfahani, A new signal subspace processing for DOA estimation. Sig. Process. 84, 721–728 (2004)

    Article  MATH  Google Scholar 

  21. P. Palanisamy, N. Raghu, in A New L-shape 2-Dimensional Angle of Arrival Estimation Based on Propagator Method. Proceeding of IEEE TENCON (2008), p. 1–6

  22. V.F. Pisarenko, The retrieval of harmonics from a covariance function. Geophys. J. Int. 33, 347–366 (1973)

    Article  MATH  Google Scholar 

  23. T.S. Rappaport, J.C. Liberti, Smart Antennas for Wireless Communications: IS-95 and Third Generation CDMA Applications (Prentice Hall, Upper Saddle River, 1999)

    Google Scholar 

  24. R. Roy, T. Kailath, ESPRIT-estimation of signal parameters via rotational invariance techniques. IEEE Trans. Acoust. Speech Signal Process. 37(7), 984–995 (1999)

    Article  MATH  Google Scholar 

  25. M. Rubsamen, A. Gershman, in Search-Free DOA Estimation Algorithms for Non-uniform Sensor Arrays, Appears in Chapter 5 of “Classical and Modern Direction-of-Arrival Estimation (Academic Press, Cambridge, 2009), p. 161–183

  26. R.O. Schmidt, in IEEE Transaction Antennas Propagation AP-34(3). Multiple Emitter Location and Signal Parameter Estimation (1986), p. 276–280

  27. P. Stoica, B. Gershman, Maximum-likelihood DOA estimation by data-supported grid search. IEEE Signal Process. Lett. 6(10), 273–275 (1999)

    Article  Google Scholar 

  28. H.L. Van Trees, Optimum Array Processing, Part IV of Detection, Estimation and Modulation Theory (Wiley, New York, 2002)

    Google Scholar 

  29. B.D. VanVeen, K.M. Buckley, Beamforming: a versatile approach to spatial filtering. Signal Process. Mag. 5, 4–24 (1988)

    Google Scholar 

  30. Q.T. Zhang, Probability of resolution of the MUSIC algorithm. IEEE Trans. Signal Process. 43, 978–987 (1995)

    Article  Google Scholar 

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Authors and Affiliations

  1. Electrical and Computer Engineering Department, Queen’s University, Kingston, ON, Canada

    Ali Massoud & Aboelmagd Noureldin

  2. Engineering Physics and Mathematics Department, Zagazig University, Zagazig, Egypt

    Ali Massoud

  3. Electrical and Computer Engineering Department, Royal Military College, Kingston, ON, Canada

    Aboelmagd Noureldin

Authors
  1. Ali Massoud
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  2. Aboelmagd Noureldin
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Correspondence to Ali Massoud.

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Massoud, A., Noureldin, A. DOA Estimation Using Second-Order Differential of Invariant Noise MUSIC (SODIN-MUSIC). Circuits Syst Signal Process 36, 703–720 (2017). https://doi.org/10.1007/s00034-016-0327-2

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  • DOI: https://doi.org/10.1007/s00034-016-0327-2

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