Multidimensional Systems and Signal Processing

, Volume 28, Issue 1, pp 315–327 | Cite as

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

  • Sheng Liu
  • Lisheng Yang
  • Dong Li
  • Hailin Cao


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.


Subspace extension DOA estimation Sparse linear array  Cross-correlation matrix Pairing-matching 



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).


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Copyright information

© Springer Science+Business Media New York 2016

Authors and Affiliations

  1. 1.The Key Laboratory of Aerocraft Tracking Telemetering Command and CommunicationChongqing UniversityChongqingChina

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