Electromagnetic vector sensor array angle estimation method based on double quaternions

Abstract

The invention discloses an electromagnetic vector sensor array angle estimation method based on double quaternions. The method comprises steps that the double quaternions are introduced on the basis of a quaternion model, and a time-domain tri-orthogonal electric dipole sensor array model is built; the orthogonal information between array element electric dipoles is effectively reserved, orthogonality between quaternions has higher constraint than vector orthogonality, and better angle measurement performance can be achieved. According to the method, arrival angle estimation is carried out through a double quaternion multi-signal classification method BQMUSIC, under the condition of polarization parameter priori, better angle measurement performance than that of LVMUSIC is achieved through the BQMUSIC, the operand is reduced, and meanwhile robustness of related noise is improved. In addition, the double quaternion method not only expands a component on the basis of a two-component sensor quaternion model, but also has the potential of solving other problems of the quaternion model.

Description

technical field [0001] The invention relates to the field of vector sensor signal processing, in particular to a double quaternion-based electromagnetic vector sensor array angle estimation method. Background technique [0002] A complete electromagnetic vector sensor consists of three electric dipoles and three magnetic rings, among which the electric dipoles and the magnetic rings are mutually orthogonal in space. The electromagnetic vector sensor array (also known as polarization-sensitive array) can not only obtain spatial information through the phase difference between array elements like a scalar array, but also obtain direction information contained in the polarization steering vector. The long vector (LV) method is a classic vector sensor signal processing method. This method arranges multiple output components of each sensor directly to form a column vector, which has the advantages of simple implementation and clear meaning. However, this arrangement method simpl...

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Problems solved by technology

From the perspective of Maxwell's equations, XIAOFENG et al. derived a complete double quaternion time-domain signal model of the electromagnetic vector sensor, but it is difficult to transplant because it does not use the traditional polarization domain steering vector.

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