Noncircular-PARAFAC for 2D-DOA estimation of noncircular signals in arbitrarily spaced acoustic vector-sensor array subjected to unknown locations

Abstract

AbstractsIn 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 Crámer-Rao bound of DOA estimation of noncircular signal in acoustic vector-sensor array. The simulation results verify the effectiveness of the algorithm.

Reduced-Dimension Noncircular-Capon Algorithm for DOA Estimation of Noncircular Signals

“…In this section, we will propose the RD-NC-Capon algorithm for the DOA estimation of noncircular signals. In order to double the array aperture, we will first give the extended data model by exploiting the noncircular property, which is a common method of expansion for noncircular signals and has been widely used in many noncircular DOA estimation algorithms [13][14][15][16][17][18][19][20][21][22]. Then we will talk about the conventional 2D-NC-Capon algorithm in Section 3.2, whereas the RD-NC-Capon algorithm will be proposed in Section 3.3.…”

“…To improve the DOA estimation performance, the noncircular property of incoming signals has been considered in [13][14][15][16][17][18][19][20][21][22]. In wireless communications, the noncircular signals have been extensively used, for example, the binary phase shift keying, amplitude modulation, and unbalanced quadrature phase shift keying [22].…”

“…Besides, a noncircular propagator method (NC-PM) for direction estimation of noncircular signals was proposed in [19], which has better angle estimation performance than PM in [9]. Based on the parallel factor (PARAFAC) technique, a noncircular PARAFAC (NC-PARAFAC) algorithm was proposed in [20] to obtain the two-dimensional (2D) DOA estimation of the noncircular signals for arbitrarily spaced acoustic vectorsensor array. Moreover, a two-dimensional direction-finding for noncircular signals using two parallel linear arrays via the extended rank reduction algorithm was presented in [21].…”

Compressed Sensing PARALIND Decomposition-Based Coherent Angle Estimation for Uniform Rectangular Array

“…Array signal processing has aroused considerable concerns in recent decades owing to its extensive engineering application in satellite communication, radar, sonar, and some other fields [1][2][3][4]. In array signal processing, spectrum estimation, also known as direction of arrival (DOA) estimation, is a crucial issue.…”

DOA and Noncircular Phase Estimation of Noncircular Signal via an Improved Noncircular Rotational Invariance Propagator Method

“…The noncircularity of signal is investigated to enhance the performance of angle estimation algorithm [25]. Many DOA estimation methods of noncircular signals have been reported, which contain NC-MUSIC algorithms [26][27][28], NC-ESPRIT algorithms [29][30][31], and noncircular parallel factor (NC-PARAFAC) algorithm [32]. These algorithms we mention above can estimate more sources and have better angle estimation performance by introducing the noncircularity of signal into the conventional DOA estimation algorithms.…”