scholarly journals Geometric Algebra-Based ESPRIT Algorithm for DOA Estimation

Sensors ◽  
2021 ◽  
Vol 21 (17) ◽  
pp. 5933
Author(s):  
Rui Wang ◽  
Yue Wang ◽  
Yanping Li ◽  
Wenming Cao ◽  
Yi Yan
Keyword(s):  
Geometric Algebra ◽  
Array Signal Processing ◽  
Super Resolution ◽  
Doa Estimation ◽  
Model Errors ◽  
Matrix Operations ◽  
Multiple Components ◽  
Vector Sensor ◽  
Electromagnetic Vector Sensor ◽  
Esprit Algorithm

Direction-of-arrival (DOA) estimation plays an important role in array signal processing, and the Estimating Signal Parameter via Rotational Invariance Techniques (ESPRIT) algorithm is one of the typical super resolution algorithms for direction finding in an electromagnetic vector-sensor (EMVS) array; however, existing ESPRIT algorithms treat the output of the EMVS array either as a “long vector”, which will inevitably lead to loss of the orthogonality of the signal components, or a quaternion matrix, which may result in some missing information. In this paper, we propose a novel ESPRIT algorithm based on Geometric Algebra (GA-ESPRIT) to estimate 2D-DOA with double parallel uniform linear arrays. The algorithm combines GA with the principle of ESPRIT, which models the multi-dimensional signals in a holistic way, and then the direction angles can be calculated by different GA matrix operations to keep the correlations among multiple components of the EMVS. Experimental results demonstrate that the proposed GA-ESPRIT algorithm is robust to model errors and achieves less time complexity and smaller memory requirements.

scholarly journals Low Complexity Beamspace Super Resolution for DOA Estimation of Linear Array

Sensors ◽  
2020 ◽  
Vol 20 (8) ◽  
pp. 2222
Author(s):  
Jie Pan ◽  
Fu Jiang
Keyword(s):  
Array Signal Processing ◽  
Linear Array ◽  
Mimo Systems ◽  
Super Resolution ◽  
Doa Estimation ◽  
Superior Performance ◽  
Estimation Methods ◽  
Iteration Algorithm ◽  
Norm Minimization ◽  
Atomic Norm

Beamspace processing has become much attractive in recent radar and wireless communication applications, since the advantages of complexity reduction and of performance improvements in array signal processing. In this paper, we concentrate on the beamspace DOA estimation of linear array via atomic norm minimization (ANM). The existed generalized linear spectrum estimation based ANM approaches suffer from the high computational complexity for large scale array, since their complexity depends upon the number of sensors. To deal with this problem, we develop a low dimensional semidefinite programming (SDP) implementation of beamspace atomic norm minimization (BS-ANM) approach for DFT beamspace based on the super resolution theory on the semi-algebraic set. Then, a computational efficient iteration algorithm is proposed based on alternating direction method of multipliers (ADMM) approach. We develop the covariance based DOA estimation methods via BS-ANM and apply the BS-ANM based DOA estimation method to the channel estimation problem for massive MIMO systems. Simulation results demonstrate that the proposed methods exhibit the superior performance compared to the state-of-the-art counterparts.

Underwater Electromagnetic Sources 2-D DOA and Polarization Estimation

2012 ◽  
Vol 459 ◽  
pp. 529-534
Author(s):  
Zhen Bin Zhang ◽  
Bin Li
Keyword(s):  
Poynting Vector ◽  
Cross Product ◽  
Parameter Estimates ◽  
Data Sets ◽  
Rotation Invariant ◽  
Vector Sensor ◽  
Specific Distribution ◽  
Electromagnetic Vector Sensor ◽  
Polarization Estimation ◽  
Esprit Algorithm

With the development of ocean exploration and research, the precise estimation of underwater electromagnetic sources’ DOA and polarization has become an essential research topic. An electromagnetic vector sensor can measure all six electromagnetic field components of the incident wave field. Thus, it explores not only the DOA of the signal but also the polarization diversity which represents electromagnetic sources’ specific distribution. TLS-ESPRIT algorithm is based on rotation invariant of two signal subspaces. It utilizes a pair of temporally displace data sets collected form a single electromagnetic vector sensor. The parameter estimates are obtained through Poynting vector that is cross-product operation of each signal subspace eigenvector of the data correlation matrix. This method requires no priori knowledge of signal frequencies, suffers no frequency ambiguity, can resolve up to five uncorrelated monochromatic underwater sources. Simulations illustrated the efficiency of the algorithm.

scholarly journals Tensor Approach to DOA Estimation of Coherent Signals with Electromagnetic Vector-Sensor Array

Sensors ◽  
2018 ◽  
Vol 18 (12) ◽  
pp. 4320 ◽  
Author(s):  
Ming-Yang Cao ◽  
Xingpeng Mao ◽  
Xiaozhuan Long ◽  
Lei Huang
Keyword(s):  
Estimation Method ◽  
Doa Estimation ◽  
Parameters Estimation ◽  
Estimation Accuracy ◽  
Coherent Signals ◽  
Rectangular Array ◽  
Vector Sensor ◽  
Electromagnetic Vector Sensor ◽  
Vector Sensors ◽  
Uniform Rectangular Array

This paper addresses the direction-of-arrival (DOA) estimation problem using a uniform rectangular array with electromagnetic vector-sensors in correlated/coherent signal environments. The polarization information is separated from the steering matrix to decorrelate the signals. By developing a tensorial structured received measurements of the array, we propose a tensor-based eigenvector DOA estimation method. Then we apply the forward-backward averaging to the tensor since it obeys the centro-Hermitian structure. In addition, a tensor-based polarization parameters estimation method is presented. The proposed algorithms are superior to the state-of-the-art algorithms in terms of estimation accuracy of coherent signals while only demand a modest computation burden comparing with the latter ones. Simulation results are given to demonstrate the effectiveness of the proposed methods under different scenarios.

scholarly journals A Robust Direction of Arrival Estimation Method for Uniform Circular Array

Sensors ◽  
2019 ◽  
Vol 19 (20) ◽  
pp. 4427
Author(s):  
Xu ◽  
Wu ◽  
Yu ◽  
Guang
Keyword(s):  
Array Signal Processing ◽  
Linear Array ◽  
Estimation Method ◽  
Direction Of Arrival ◽  
Doa Estimation ◽  
Circular Array ◽  
Source Signal ◽  
Random Sample Consensus ◽  
Esprit Algorithm ◽  
Source Signals

Estimating the Direction of Arrival (DOA) is a basic and crucial problem in array signal processing. The existing DOA methods fail to obtain reliable and accurate results when noise and reverberation occur in real applications. In this paper, an accurate and robust estimation method for estimating the DOA of sources signal is proposed. Incorporating the Estimating Signal Parameters via Rotational Invariance Techniques (ESPRIT) algorithm with the RANdom SAmple Consensus (RANSAC) algorithm gives rise to the RAN-ESPRIT method, which removes outliers automatically in noise-corrupted environments. In this work, a uniform circular array (UCA) is converted into a virtual uniform linear array (ULA) to begin with. Then, the covariance matrix of the received signals of the virtual linear array is reconstructed, and the ESPRIT algorithm is deployed to estimate initial DOA of the source signal. Finally, the modified RANSAC method with automatically selected thresholds is used to fit the source signal to obtain accurate DOA. The proposed method can remove the unreliable DOA feature data and leads to more accuracy of DOA estimation of source signals in reverberation environments. Experimental results demonstrate that the proposed method is more robust and efficient compared to the traditional methods (i.e., ESPRIT, TLS-ESPRIT).

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