“…where Instead of complex peak-seeking methods [29][30][31][32], following the principle of the ESPRIT algorithm [33][34][35], we define the direction matrices G l related to θ kl (l = 1, 2, 3, 4) as follows…”
In this paper, a joint diagonalization based two dimensional (2D) direction of departure (DOD) and 2D direction of arrival (DOA) estimation method for a mixture of circular and strictly noncircular (NC) sources is proposed based on an L-shaped bistatic multiple input multiple output (MIMO) radar. By making full use of the L-shaped MIMO array structure to obtain an extended virtual array at the receive array, we first combine the received data vector and its conjugated counterpart to construct a new data vector, and then an estimating signal parameter via rotational invariance techniques (ESPRIT)-like method is adopted to estimate the DODs and DOAs by joint diagonalization of the NC-based direction matrices, which can automatically pair the four dimensional (4D) angle parameters and solve the angle ambiguity problem with common one-dimensional (1D) DODs and DOAs. In addition, the asymptotic performance of the proposed algorithm is analyzed and the closed-form stochastic Cramer–Rao bound (CRB) expression is derived. As demonstrated by simulation results, the proposed algorithm has outperformed the existing one, with a result close to the theoretical benchmark.
“…where Instead of complex peak-seeking methods [29][30][31][32], following the principle of the ESPRIT algorithm [33][34][35], we define the direction matrices G l related to θ kl (l = 1, 2, 3, 4) as follows…”
In this paper, a joint diagonalization based two dimensional (2D) direction of departure (DOD) and 2D direction of arrival (DOA) estimation method for a mixture of circular and strictly noncircular (NC) sources is proposed based on an L-shaped bistatic multiple input multiple output (MIMO) radar. By making full use of the L-shaped MIMO array structure to obtain an extended virtual array at the receive array, we first combine the received data vector and its conjugated counterpart to construct a new data vector, and then an estimating signal parameter via rotational invariance techniques (ESPRIT)-like method is adopted to estimate the DODs and DOAs by joint diagonalization of the NC-based direction matrices, which can automatically pair the four dimensional (4D) angle parameters and solve the angle ambiguity problem with common one-dimensional (1D) DODs and DOAs. In addition, the asymptotic performance of the proposed algorithm is analyzed and the closed-form stochastic Cramer–Rao bound (CRB) expression is derived. As demonstrated by simulation results, the proposed algorithm has outperformed the existing one, with a result close to the theoretical benchmark.
“…In the field of array signal processing, many methods use different antenna arrays to estimate the parameters (angle, range, polarization, etc.) of the emission source [1][2][3]. Early direction of arrival (DOA) estimation algorithms for signals usually assume that the array is the scalar array composed of ideal array elements, and the DOA of the incident signals can be estimated by using the time delay information relative to different array elements.…”
Section: Introductionmentioning
confidence: 99%
“…Compared with scalar antenna arrays, vector antenna arrays can extract the polarization information of incident electromagnetic waves to improve the performance of signal parameter estimation. Most of polarization array algorithms generally require the source to be located in the far-field (FF) region, then the spatial characteristics and polarization characteristics of the signals received by the array can be separated, such as the MUSIC method [1], the ESPRIT method [2].…”
Based on the quaternion theory, a novel algorithm named non-circular augmented quaternion MUSIC (NCAQ-MUSIC) is proposed for DOA and range estimation of noncircular signals impinging on a concentered orthogonal loop and dipole (COLD) array. Firstly, based on the augmented quaternion, the proposed algorithm uses the noncircular characteristic of the signals to achieve the virtual array expansion; secondly, the DOA and range parameters can be completely separated in the principle of rank reduction, and finally, the parameters of DOA and range are estimated through one dimensional search. Compared with direct mutil-dimensional (M-D) searching algorithms, the proposed method merely requires several one-dimension (1-D) spectral peak search which does not need parameter pairing. Simulation results verify the performance promotion of the proposed approach.
“…e problem of estimating the direction of arrival (DOA) of signals impinging on an array of sensors is widely applied in radar, sonar, and wireless communication systems [1][2][3][4][5][6][7][8][9]. For fast-moving sources and multipath propagation problems, snapshots are limited, so high resolution adaptive DOA estimation approaches such as MVDR [10], MUSIC [11], and covariance matching methods [12,13] fail due to inaccurate estimation of the spatial covariance matrix.…”
Sparse recovery is one of the most important methods for single snapshot DOA estimation. Due to fact that the original l0-minimization problem is a NP-hard problem, we design a new alternative fraction function to solve DOA estimation problem. First, we discuss the theoretical guarantee about the new alternative model for solving DOA estimation problem. The equivalence between the alternative model and the original model is proved. Second, we present the optimal property about this new model and a fixed point algorithm with convergence conclusion are given. Finally, some simulation experiments are provided to demonstrate the effectiveness of the new algorithm compared with the classic sparse recovery method.
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