Parameter Estimation of Vector-Sensor Array in Colored Noise with Quaternion-MUSIC

This paper addresses the problem of estimating direction of arrival (DOA) and polarization parameters for vector-sensor array in MA noise based on quaternion. First, the computation method of right eigenvalue decomposition of quaternion matrix (REVDQ) is introduced in detail. Then, duplicate auto-correlation function (that´s auto-correlation function of auto-correlation function) of quaternion signal is defined, which can not only express signal parameters but also restrain MA noise. Finally, Toeplitz matrix based on duplicate auto-correlation function is constructed, and right eigenvalue decomposition of the Toeplitz matrix is used to part signal subspace and noise subspace. Thus, signal parameters are estimated with Quaternion-MUSIC (Q-MUSIC) taking advantage of orthogonality between signal subspace and noise subspace. Some simulations illustrate our idea.