Direction finding via biquaternion matrix diagonalization with vector-sensors

  • Authors:

  • Xiao-Feng Gong;Zhi-Wen Liu;You-Gen Xu

  • Affiliations:

  • School of Information and Communication Engineering, Dalian University of Technology, Dalian, 116024, China;School of Information and Electronics, Beijing Institute of Technology, Beijing 100081, China;School of Information and Electronics, Beijing Institute of Technology, Beijing 100081, China

  • Venue:
  • Signal Processing
  • Year:
  • 2011

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Abstract

Direction-of-arrival (DOA) estimation based on the array of three-component electromagnetic vector-sensors is considered within a biquaternion framework. A relationship is established between the biquaternion covariance and the combination of both complex covariance and cross-product. By exploiting this relationship, the DOA estimates can finally be obtained by diagonalizing the biquaternion covariance matrix of the array outputs in a trilinear PARAFAC manner. This method does not require any a priori knowledge on the position of each sensor, and is shown to offer high robustness to colored noise for direction finding of non-linearly polarized signals. Simulations are provided to illustrate the performance of the proposed method.