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Adaptive beamforming using a crossed-dipole array is addressed in the hypercomplex framework. A new variant of Capon beamformer, called Quaternion-Capon (Q-Capon) beamformer, is herein proposed to fulfill the linearly constrained minimization operation in the quaternion domain. Simulation results show that the Q-Capon beamformer has a better convergence performance than the standard "long-vector"...
Using an acoustic vector sensor array, adaptive beamforming is addressed based on hypercomplex algebra. To utilize the minimum-variance distortionless response beamforming in the biquaternion domain, a variant of Capon beamformer named Biquaternion Capon (BQ-Capon) is proposed. Simulations show that the BQ-Capon beamformer outperforms the conventional long vector Capon beamformer with the convergence...
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