scholarly journals Structured autocorrelation matrix estimation for coprime arrays

2021 ◽  
Vol 183 ◽  
pp. 107987
Author(s):  
Dimitris G. Chachlakis ◽  
Panos P. Markopoulos
Keyword(s):  
Matrix Estimation ◽  
Autocorrelation Matrix ◽  
Coprime Arrays

scholarly journals A Sparse-Based Off-Grid DOA Estimation Method for Coprime Arrays

Sensors ◽  
2018 ◽  
Vol 18 (9) ◽  
pp. 3025 ◽  
Author(s):  
Weijian Si ◽  
Fuhong Zeng ◽  
Changbo Hou ◽  
Zhanli Peng
Keyword(s):  
Covariance Matrix ◽  
Estimation Error ◽  
Estimation Method ◽  
Doa Estimation ◽  
Sample Covariance Matrix ◽  
Estimation Methods ◽  
Matrix Estimation ◽  
Estimation Process ◽  
Sample Covariance ◽  
Coprime Arrays

Recently, many sparse-based direction-of-arrival (DOA) estimation methods for coprime arrays have become popular for their excellent detection performance. However, these methods often suffer from grid mismatch problem due to the discretization of the potential angle space, which will cause DOA estimation performance degradation when the target is off-grid. To this end, we proposed a sparse-based off-grid DOA estimation method for coprime arrays in this paper, which includes two parts: coarse estimation process and fine estimation process. In the coarse estimation process, the grid points closest to the true DOAs, named coarse DOAs, are derived by solving an optimization problem, which is constructed according to the statistical property of the vectorized covariance matrix estimation error. Meanwhile, we eliminate the unknown noise variance effectively through a linear transformation. Due to finite snapshots effect, some undesirable correlation terms between signal and noise vectors exist in the sample covariance matrix. In the fine estimation process, we therefore remove the undesirable correlation terms from the sample covariance matrix first, and then utilize a two-step iterative method to update the grid biases. Combining the coarse DOAs with the grid biases, the final DOAs can be obtained. In the end, simulation results verify the effectiveness of the proposed method.

Weighted Spatial Covariance Matrix Estimation for MUSIC Based TDOA Estimation of Speech Source

2017 ◽  
Author(s):  
Chenglin Xu ◽  
Xiong Xiao ◽  
Sining Sun ◽  
Wei Rao ◽  
Eng Siong Chng ◽  
...  
Keyword(s):  
Covariance Matrix ◽  
Covariance Matrix Estimation ◽  
Spatial Covariance ◽  
Matrix Estimation

Virtual array interpolation for coprime arrays: a signal reconstruction perspective

2020 ◽  
Vol 56 (22) ◽  
pp. 1213-1215
Author(s):  
Zhen Chen ◽  
Chongyi Fan ◽  
Xiaotao Huang
Keyword(s):  
Signal Reconstruction ◽  
Virtual Array ◽  
Coprime Arrays
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