Applied Mathematics & Information Sciences

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Owing to the advantages of quaternion in describing vector sensor array data, a quaternion model of uniform cocentered loop and dipole (CLD) pair circular array is deduced and constructed in this paper. Two sets of synchronous time data are used to construct correlation matrix. According to the relationships of the two sets data and that of the two steering vectors, the array steering vector and the frequency of signals are obtained. The direction of arrival (DOA) is derived by dot division operation and the least square method. The polarization parameters are obtained using the relationship between the dipole steering vector and magnetic loop vector. Without spectral peak searching and parameter matching, this method gives closed-form solution of frequency, DOA and polarization parameters. The proposed algorithm results in a reduction by half of memory requirements for representation of data covariance model and decreases the computational cost. Finally, simulation results verify that the performance of proposed method is superior to the long-vector approach because quaternion matrix operations can maintain the vectorial property of the vector sensor and provide a better subspace approximation than the long-vector approach.

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