Skip to main content
Springer Nature Link
Log in

Subspace extension algorithm for 2D DOA estimation with L-shaped sparse array

  • Published:
Multidimensional Systems and Signal Processing Aims and scope Submit manuscript

Abstract

A subspace extension algorithm for two-dimensional (2D) direction-of-arrival (DOA) estimation with an L-shaped array is proposed. This L-shaped array is comprised of two orthogonal sparse linear arrays (SLAs). Each SLA consists of two different uniform linear arrays. The cross-correlation matrix of received data is used to construct two extended signal subspaces, by which the azimuth angles and elevation angles can be estimated independently. The procedure used to extend signal subspace only needs a small amount of calculation. Then, an effective pair-matching method is addressed to pair the estimated elevation angles and azimuth angles. Although the signal subspaces are extended, the complexity of the proposed 2D DOA estimation algorithm is lower than many similar algorithms. Simulation results indicate the availability of the proposed pairing-matching method and subspace extension algorithm.

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

Access this article

Log in via an institution

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7

Explore related subjects

Discover the latest articles, news and stories from top researchers in related subjects.

References

  • Camps, A., Cardama, A., & Infantes, D. (2002). Synthesis of large low redundancy linear arrays. IEEE Transactions on Antennas and Propagation, 49(12), 1881–1883.

    Article  Google Scholar 

  • Chen, J., Wang, S. X., & Wei, X. L. (2006). New method for estimating two-dimensional direction of arrival based on L-shape array. Journal of Jilin University, 1(4), 590–593.

    Google Scholar 

  • Chen, F. J., Kwong, S., & Kok, C. W. (2010). Esprit-like two-dimensional DOA estimation for coherent signals. IEEE Transactions on Aerospace and Electronic Systems, 46(3), 1477–1484.

    Article  Google Scholar 

  • Gu, J. F., & Wei, P. (2007). Joint SVD of two cross-correlation matrices to achieve automatic pairing in 2-D angle estimation problems. IEEE Antennas and Wireless Propagation Letters, 6, 553–556.

    Article  Google Scholar 

  • Hua, Y., Sarkar, T. K., & Weiner, D. D. (1991). An L-shaped array for estimating 2-D directions of wave arrival. IEEE Transaction on Antennas and Propagation, 39(2), 143–146.

    Article  Google Scholar 

  • Kikuchi, S., Tsuji, H., & Sano, A. (2006). Pair-matching method for estimating 2-D angle with a cross-correlation matrix. IEEE Antennas and Wireless Propagation Letters, 5, 35–40.

    Article  Google Scholar 

  • Liang, J. L. (2009). Joint azimuth and elevation direction finding using cumulant. IEEE Sensors Journal, 9(4), 390–398.

    Article  Google Scholar 

  • Liang, J. L., & Liu, D. (2010). Joint elevation and azimuth direction finding using L-shaped array. IEEE Transactions on Antennas and Propagation, 30(2), 2136–2141.

    Article  MathSciNet  Google Scholar 

  • Nie, X., & Li, L. P. (2014). A computationally efficient subspace algorithm for 2-D DOA estimation with L-shaped array. IEEE Signal Processing Letters, 21, 971–974.

    Article  Google Scholar 

  • Nie, X., & Wei, P. (2015). Array Aperture Extension Algorithm for 2-D DOA Estimation with L-Shaped Array. Progress in Electromagnetics Research Letters, 52, 63–69.

    Article  Google Scholar 

  • Pal, P., & Vaidyanathan, P. P. (2010). Nested arrays: A novel approach to array processing with enhanced degrees of freedom. IEEE Transactions on Signal Processing, 58(8), 4167–4181.

    Article  MathSciNet  Google Scholar 

  • Pan, Y., & Yuan, N. (2015). A comment on pair-matching method by signal covariance matrices for 2D-DOA estimation. IEEE Antennas and Wireless Propagation Letters, 14, 1819–1820.

    Article  Google Scholar 

  • Roy, R., & Kailath, T. (1989). ESPRIT-estimation of signal parameters via rotational invariance techniques. IEEE Transaction Acoustics Speech and Signal Processing, 37(7), 984–995.

    Article  MATH  Google Scholar 

  • Tayem, N., & Kwon, H. M. (2005). L-shape 2-dimensional arrival angle estimation with propagator method. IEEE Transactions on Antennas and Propagation, 53(5), 1622–1630.

    Article  Google Scholar 

  • Vaidyanathan, P. P., & Pal, P. (2011). Sparse sensing with co-prime samplers and arrays. IEEE Transactions on Signal Processing, 59(2), 573–586.

    Article  MathSciNet  Google Scholar 

  • Wang, G. M., Xin, J. M., Zheng, N. N., & Sano, A. (2011). Computationally efficient subspace-based method for two-dimensional direction estimation with L-shaped array. IEEE Transactions on Signal Processing, 59(7), 3197–3212.

    Article  MathSciNet  Google Scholar 

  • Wei, Y. S., & Guo, X. J. (2014). Pair-matching method by signal covariance matrices for 2D-DOA estimation. IEEE Antennas and Wireless Propagation Letters, 13, 1199–1202.

    Article  Google Scholar 

  • Xia, T. Q., Zheng, Y., Wan, Q., & Wang, X. G. (2007). Decoupled estimation of 2-D angles of arrival using two parallel uniform linear arrays. IEEE Transactions on Antennas and Propagation, 55(9), 2627–2632.

    Article  Google Scholar 

  • Zhang, X., Li, J., & Xu, L. (2011). Novel two-dimensional DOA estimation with L-shaped array. EURASIP Journal on Applied Signal Processing, 1, 589–597.

    Google Scholar 

Download references

Acknowledgments

The work was supported by the National Natural Science Foundation of China (Grant Nos. 61501068, 61301120 and 51377179), by Foundation and Advanced Research Projects of Chongqing Municipal Science and Technology Commission under Grant cstc2015jcyjA40001, by the Fundamental Research Funds for the Central Universities (Grant Nos. 106112015CDJXY500001, CDJPY12160001), and by the Natural Science Foundation Project of CQ CSTC (CSTC2011GGYS0001).

Author information

Authors and Affiliations

  1. The Key Laboratory of Aerocraft Tracking Telemetering Command and Communication, Chongqing University, Chongqing, 400044, China

    Sheng Liu, Lisheng Yang, Dong Li & Hailin Cao

Authors
  1. Sheng Liu
    View author publications

    You can also search for this author inPubMed Google Scholar

  2. Lisheng Yang
    View author publications

    You can also search for this author inPubMed Google Scholar

  3. Dong Li
    View author publications

    You can also search for this author inPubMed Google Scholar

  4. Hailin Cao
    View author publications

    You can also search for this author inPubMed Google Scholar

Corresponding author

Correspondence to Lisheng Yang.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Liu, S., Yang, L., Li, D. et al. Subspace extension algorithm for 2D DOA estimation with L-shaped sparse array. Multidim Syst Sign Process 28, 315–327 (2017). https://doi.org/10.1007/s11045-016-0406-3

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11045-016-0406-3

Keywords