Skip to main content

Decoupled 2-D DOA Estimation Algorithm Based on Cross-Correlation Matrix for Coherently Distributed Source

  • Conference paper
  • 3242 Accesses

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7665))

Abstract

A computationally efficient method for estimating two-dimensional (azimuth and elevation) direction-of-arrival (2-D DOA) of coherently distributed source is presented. Since the coherently distributed source is characterized by four parameters, the azimuth DOA, angular spread of the azimuth DOA, the elevation DOA, and angular spread of the elevation DOA, the computational complexity of the parameter estimation is normally highly demanding. A low-complexity estimation algorithm is proposed based on deduced Schur-Hadamard product steering vector which enables the estimation of 2-D DOA decoupled from that of angular spread of sources. The estimator constructs cross-correlation matrix from subarrays. And then the closed form solution of the elevation and azimuth DOA estimation can be obtained sequentially. Therefore, the proposed method avoids computationally demanding spectral search step and does not involve any eigen decomposition or singular value decomposition as in common subspace techniques such as MUSIC and ESPRIT. Numerical examples illustrate the performance of the method.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Ko, Y.H., Kim, Y.J., Yoo, H.I., Yang, W.Y., Cho, Y.S.: 2-D DOA Estimation with Cell Searching for a Mobile Relay Station with Uniform Circular Array. IEEE Trans. Communications 58, 2805–2809 (2010)

    Article  Google Scholar 

  2. Gan, L., Gu, J., Wei, P.: Estimation of 2-D DOA for Noncircular Sources Using Simultaneous SVD Technique. IEEE Antenn. Wirel. Pr. 7, 385–388 (2008)

    Article  Google Scholar 

  3. Monakov, A., Besson, O.: Direction Finding for an Extended Target with Possibly Non-symmetric Spatial Spectrum. IEEE Trans. Signal Proces. 52, 283–287 (2004)

    Article  MathSciNet  Google Scholar 

  4. Raich, R., Goldberg, J., Messor, H.: Bearing Estimation for a Distributed Source: Modeling, Inherent Accuracy Limitations and Algorithm. IEEE Trans. Signal Proces. 48, 429–441 (2000)

    Article  Google Scholar 

  5. Hassanien, A., Shahbazpanahi, S., Gershman, A.B.: A Generalized Capon Estimator for Localization of Multiple Spread Sources. IEEE Trans. Signal Proces. 52, 280–283 (2004)

    Article  MathSciNet  Google Scholar 

  6. Lee, J., Joung, J., Kim, J.D.: A method for the Direction-of-Arrival Estimation of Incoherently Distributed Sources. IEEE Trans. Veh. Technol. 57, 2885–2893 (2008)

    Article  Google Scholar 

  7. Xiong, Y., Zhang, G.Y., Tang, B., Cheng, H.: Blind Identification and DOA Estimation for Array Sources in Presence of Scattering. J. Syst. Eng. Electron. 22, 393–397 (2011)

    Google Scholar 

  8. Meng, Y., Stoica, P., Wong, K.M.: Estimation of the Direction of Arrival of Spatially Dispersed Signals in Array Processing. IEE P-Radar Son. Nav. 43, 1–9 (1996)

    Article  Google Scholar 

  9. Shahbazpanahi, S., Valaee, S., Gershman, A.B.: A Covariance Fitting Approach to Parametric Localization of Multiple Incoherently Distributed Sources. IEEE Trans. Signal Proces. 52, 592–600 (2004)

    Article  MathSciNet  Google Scholar 

  10. Souden, M., Affes, S., Benesty, J.: A Two-Stage Approach to Estimate the Angles of Arrival and the Angular Spreads of Locally Scatters Sources. IEEE Trans. Signal Proces. 56, 1968–1983 (2008)

    Article  MathSciNet  Google Scholar 

  11. Zoubir, A., Wang, Y., Charge, P.: Spatially Distributed Sources Localization with a Subspace Based Estimator without Eigen Decomposition. In: Proceedings of ICASSP, pp. 1085–1088 (2007)

    Google Scholar 

  12. Zoubir, A., Wang, Y., Charge, P.: Efficient Subspace-Based Estimator for Localization of Multiple Incoherently Distributed Source. IEEE Trans. Signal Proces. 56, 532–542 (2008)

    Article  MathSciNet  Google Scholar 

  13. Shahbazpanahi, S., Valaee, S., Bastani, M.H.: Distributed Source Localization Using ESPRIT Algorithm. IEEE Trans. Signal Proces. 49, 2169–2178 (2001)

    Article  Google Scholar 

  14. Lee, J., Song, L., Kwon, H., Lee, S.R.: Low-Complexity Estimation of 2D DOA for Coherently Distributed Sources. Signal Proces. 83, 1789–1802 (2003)

    Article  MATH  Google Scholar 

  15. Wan, Q., Peng, Y.N.: Low-Complexity Estimator for Four-Dimensional Parameters under a Reparameterised Distributed Source Model. IEE Proc.-Radar. Sonar Nav. 148, 313–317 (2001)

    Article  Google Scholar 

  16. Gradshteyn, I.S., Ryzhik, I.M.: Table of Integrals, Series, and Products. Academic Press, Orlando (1980)

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2012 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Han, Y., Wang, J., Zhao, Q., Han, P. (2012). Decoupled 2-D DOA Estimation Algorithm Based on Cross-Correlation Matrix for Coherently Distributed Source. In: Huang, T., Zeng, Z., Li, C., Leung, C.S. (eds) Neural Information Processing. ICONIP 2012. Lecture Notes in Computer Science, vol 7665. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34487-9_20

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-34487-9_20

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-34486-2

  • Online ISBN: 978-3-642-34487-9

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics