scholarly journals Parallel Factor-Based Model for Two-Dimensional Direction Estimation

2017 ◽  
Vol 2017 ◽  
pp. 1-12
Author(s):  
Nizar Tayem ◽  
Khaqan Majeed ◽  
Ahmed A. Hussain
Keyword(s):  
Doa Estimation ◽  
Data Matrix ◽  
Two Dimensional ◽  
Multiple Sources ◽  
Matching Problems ◽  
Linear Arrays ◽  
Parafac Model ◽  
Coherent Sources ◽  
Pair Matching ◽  
Parallel Factor

Two-dimensional (2D) Direction-of-Arrivals (DOA) estimation for elevation and azimuth angles assuming noncoherent, mixture of coherent and noncoherent, and coherent sources using extended three parallel uniform linear arrays (ULAs) is proposed. Most of the existing schemes have drawbacks in estimating 2D DOA for multiple narrowband incident sources as follows: use of large number of snapshots, estimation failure problem for elevation and azimuth angles in the range of typical mobile communication, and estimation of coherent sources. Moreover, the DOA estimation for multiple sources requires complex pair-matching methods. The algorithm proposed in this paper is based on first-order data matrix to overcome these problems. The main contributions of the proposed method are as follows: (1) it avoids estimation failure problem using a new antenna configuration and estimates elevation and azimuth angles for coherent sources; (2) it reduces the estimation complexity by constructing Toeplitz data matrices, which are based on a single or few snapshots; (3) it derives parallel factor (PARAFAC) model to avoid pair-matching problems between multiple sources. Simulation results demonstrate the effectiveness of the proposed algorithm.

scholarly journals DOA Tracking of Two-Dimensional Coherent Distribution Source Based on Fast Approximated Power Iteration

2020 ◽  
Vol 2020 ◽  
pp. 1-12
Author(s):  
Tao Wu ◽  
Pengtao Zhang ◽  
Yiwen Li ◽  
Yangjun Gao ◽  
Chaoqi Fu ◽  
...  
Keyword(s):  
Estimation Method ◽  
Doa Estimation ◽  
Distribution Functions ◽  
Tracking Algorithm ◽  
Signal Subspace ◽  
Two Dimensional ◽  
Model Errors ◽  
Rectangular Array ◽  
Linear Arrays ◽  
Power Iteration

Aiming at two-dimensional (2D) coherent distributed (CD) sources, this paper has proposed a direction of arrival (DOA) tracking algorithm based on signal subspace updating under the uniform rectangular array (URA). First, based on the hypothesis of small angular spreads of distributed sources, the rotating invariant relations of the signal subspace of the receive vector of URA are derived. An ESPRIT-like method is constructed for DOA estimation using two adjacent parallel linear arrays of URA. Through the synthesis of estimation by multiple groups of parallel linear arrays within URA arrays, the DOA estimation method for 2D CD sources based on URA is obtained. Then, fast approximated power iteration (FAPI) subspace tracking algorithm is used to update the signal subspace. In this way, DOA tracking of 2D CD sources can be realized by DOA estimation through signal subspace updating. This algorithm has a low computational complexity and good real-time tracking performance. In addition, the algorithm can track multiple CD sources without knowing the angular signal distribution functions, which is robust to model errors.

scholarly journals Two-Dimensional DOA Estimation in Compressed Sensing with Compressive-Reduced Dimension-lp-MUSIC

2015 ◽  
Vol 2015 ◽  
pp. 1-9
Author(s):  
Weijian Si ◽  
Xinggen Qu ◽  
Lutao Liu ◽  
Zhiyu Qu
Keyword(s):  
Compressed Sensing ◽  
Estimation Method ◽  
Doa Estimation ◽  
Superior Performance ◽  
Two Dimensional ◽  
Improve Performance ◽  
Performance Simulation ◽  
Pair Matching ◽  
Reduced Dimension ◽  
Simulation Results

This paper presents a novel two-dimensional (2D) direction of arrival (DOA) estimation method in compressed sensing (CS) to remove the estimation failure problem and achieve superior performance. The proposed method separates the steering vector into two parts to construct two corresponding noise subspaces by introducing electric angles. Then, electric angles are estimated based on the constructed noise subspaces. In order to estimate the azimuth and elevation angles in terms of estimates of electric angles, arc-tangent operations are exploited. The arc-tangent is a one-to-one function and allows the value of the argument to be larger than unity so that the proposed method never fails. The proposed method can avoid pair matching to reduce the computational complexity and extend the number of snapshots to improve performance. Simulation results show that the proposed method can avoid estimation failure occurrence and has superior performance as compared to existing methods.

scholarly journals Parameter Estimation for Two-Dimensional Incoherently Distributed Source with Double Cross Arrays

Sensors ◽  
2020 ◽  
Vol 20 (16) ◽  
pp. 4562
Author(s):  
Tao Wu ◽  
Yiwen Li ◽  
Zhenghong Deng ◽  
Bo Feng ◽  
Xinping Ma
Keyword(s):  
Computational Cost ◽  
Doa Estimation ◽  
Estimation Accuracy ◽  
Two Dimensional ◽  
Experimental Conditions ◽  
Linear Arrays ◽  
First Order ◽  
Model Mismatch ◽  
Incoherently Distributed Source ◽  
Double Cross

A direction of arrival (DOA) estimator for two-dimensional (2D) incoherently distributed (ID) sources is presented under proposed double cross arrays, satisfying both the small interval of parallel linear arrays and the aperture equalization in the elevation and azimuth dimensions. First, by virtue of a first-order Taylor expansion for array manifold vectors of parallel linear arrays, the received signal of arrays can be reconstructed by the products of generalized manifold matrices and extended signal vectors. Then, the rotating invariant relations concerning the nominal elevation and azimuth are derived. According to the rotating invariant relationships, the rotating operators are obtained through the subspace of the covariance matrix of the received vectors. Last, the angle matching approach and angular spreads are explored based on the Capon principle. The proposed method for estimating the DOA of 2D ID sources does not require a spectral search and prior knowledge of the angular power density function. The proposed DOA estimation has a significant advantage in terms of computational cost. Investigating the influence of experimental conditions and angular spreads on estimation, numerical simulations are carried out to validate the effectiveness of the proposed method. The experimental results show that the algorithm proposed in this paper has advantages in terms of estimation accuracy, with a similar number of sensors and the same experimental conditions when compared with existing methods, and that it shows a robustness in cases of model mismatch.

Two‐dimensional DOA estimation for L‐shaped array with nested subarrays without pair matching

2016 ◽  
Vol 10 (9) ◽  
pp. 1112-1117 ◽  
Author(s):  
Yang‐Yang Dong ◽  
Chun‐Xi Dong ◽  
Ying‐Tong Zhu ◽  
Guo‐Qing Zhao ◽  
Song‐Yang Liu
Keyword(s):  
Doa Estimation ◽  
Two Dimensional ◽  
Pair Matching
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