Journal of Systems Engineering and Electronics

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Estimating DOA and polarization with spatially spread loop and dipole pair array

Lanmei Wang1,3,*, Zhihai Chen1, Guibao Wang2,3, and Xuan Rao2   

  1. 1. School of Physics and Optoelectronic Engineering, Xidian University, Xi’an 710071, China;
    2. National Laboratory of Radar Signal Processing, Xidian University, Xi’an 710071, China;
    3. Department of Mathematics, San Francisco State University, San Francisco CA 94132, USA  
  • Online:2015-02-13 Published:2010-01-03


The nonuniform L-shaped spatially spread loop and dipole (SSLD) array whose inter-element spacing is greater than half a wavelength is studied. A joint parameter estimation algorithm of direction of arrival (DOA), frequency and polarization is presented for plane-wave signals. The direct sampling and the corresponding delayed sampling data are used to construct the data correlation matrix. On the basis of the subspace theory and the least square method, the frequency and the steering vector of the whole array are obtained. According to the relationship of the array manifold vector between electric dipoles and magnetic loops, the polarization parameters are given. The unambiguous phase estimates are acquired by applying virtual baseline array transformation to the spatial steering vectors, and they are used as coarse references to disambiguate the cyclic phase ambiguities in phase differences between two adjacent array elements on the array, then the high accuracy DOA estimates are obtained. Closed-form solutions for each parameter are obtained. This method has advantages of lower calculation complexity and no parameter matching. The experiment results verify the effectiveness and feasibility of the presented algorithm.

Key words: array signal processing, L-shaped array, direction of arrival (DOA), polarization, subspace theory