Abstract
In this paper, we propose a noncircular-parallel factor (NC-PARAFAC) algorithm for two-dimensional direction of arrival (DOA) estimation of noncircular signals for acoustic vector-sensor array. The proposed algorithm enhances the angle estimation performance via utilizing the noncircularity of the signals, and it can be suitable for arbitrary array subjected to unknown locations and achieve automatically paired two-dimensional angle estimation. The proposed algorithm has better angle estimation performance than estimation of signal parameters via rotational invariance technique, PARAFAC algorithm, and propagator method. Furthermore, the proposed algorithm has a lower computational complexity than the PARAFAC algorithm. We also derive the Cramer-Rao bound of DOA estimation of noncircular signal in acoustic vector-sensor array. The simulation results verify the effectiveness of the algorithm.
Highlights
Since the measurement model of acoustic vectorsensor array had been developed in [2], researchers mainly turned to the study on direction of arrival (DOA) estimation of incoming signals and proposed many DOA estimation algorithms, which contain Capon technique [4], propagator method (PM) [5,13], estimation of signal parameters via rotational invariance technique (ESPRIT) algorithms [7,8,9], root-multiple signal classification (MUSIC) algorithm [10], self-initiating multiple signal classification MUSIC algorithm [11], hypercomplex MUSIC algorithm
We propose a noncircularPARAFAC (NC-parallel factor (PARAFAC)) algorithm for two-dimensional (2D) DOA estimation of noncircular signals using arbitrarily spaced acoustic vector-sensor array subjected to unknown locations
The trilinear model with M × L × 4 is used in PARAFAC algorithm [19], while that with 2M × L × 4 is employed in our algorithm
Summary
Compared with traditional acoustic pressure sensor arrays, the acoustic vector sensors can measure the acoustic pressure as well as all three orthogonal components of the acoustic particle velocity at a single point in space, which brings about certain significant advantages in collecting more information on acoustics, better exploitation of beam forming, and enhancing the system performance [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15]. As far as we know, few works on DOA estimation of noncircular signal in acoustic vector-sensor array has been reported. We propose a noncircularPARAFAC (NC-PARAFAC) algorithm for two-dimensional (2D) DOA estimation of noncircular signals using arbitrarily spaced acoustic vector-sensor array subjected to unknown locations. Compared with PARAFAC algorithm, the proposed algorithm enhances the parameter estimation performance via utilizing the noncircularity of the signals. Derives a PARAFAC algorithm whose angle estimation performance is better than the ESPRIT algorithm. Our NC-PARAFAC algorithm is suitable for the DOA estimation of noncircular signal, and our algorithm can be regarded as an extension of PARAFAC. A contribution of this paper is to extend PARAFAC method to noncircular signal acoustic vector-sensor array.
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