An Enumerative NonLinear Programming approach to direction finding with a general spatially spread electromagnetic vector sensor array

  • Authors:
  • Yang Li;Jian Qiu Zhang

  • Affiliations:
  • Department of Electronic Engineering, Fudan University, Shanghai 200433, PR China;Department of Electronic Engineering, Fudan University, Shanghai 200433, PR China

  • Venue:
  • Signal Processing
  • Year:
  • 2013

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Abstract

In this paper, the geometry of a general spatially spread electromagnetic vector sensor (SSEMVS) array is firstly presented. This array has a special cross product structure of the array manifold vector. The g parameters are then defined to uniquely characterize the cross product. With g parameters, the identifiability analysis of the cross product vector based direction finding algorithms of the general SSEMVS array is carried out. The analysis shows that the array has to be carefully designed to avoid ambiguity directions. Finally, a cross-product based Enumerative NonLinear Programming (ENLP) algorithm for the direction of arrival (DOA) estimation with the general SSEMVS array is proposed. The algorithm finds the optimum estimation of DOA in least square sense. Extensive simulations show that the proposed algorithm outperforms existing algorithms, and can approach the CRB effectively.