The current paper proposes a new method for estimating the direction of arrival (DoA) using a non-uniform linear array and a sparse representation of the covariance matrix. The covariance matrix of a non-uniform linear array will be vectored to create a new vector. This vector is the same as a large-scale virtual uniform linear array's received vector. Because the covariance matrix of this vector is rank one, the DoA of one source will be estimated. One way to solve this problem is to use the spatial smoothing technique. This method divides the obtained array into multiple sub-arrays and estimates the covariance matrix of each sub-array. A new full rank covariance matrix will be obtained using the average of sub-arrays covariance matrix. DoA estimation can be modelled as a compressed sensing problem by quantizing the continuous angle space into a discrete set. To estimate the DoA of sources, the difference between the derived covariance matrix and its estimation will be used. The estimated DoAs are inaccurate due to the quantization of continuous angle space. To improve the estimation accuracy, we propose a method. Simulation results show that the proposed method can improve the estimation accuracy. To increase the accuracy of estimation, it is necessary to divide the steps into a very small size. By dividing the steps by small size, there is a problem called coherence of the measurement matrix columns.
Author(S) Details
Hoda Zarghami
Department of Electrical Engineering, Islamic Azad University Yadegare-E-Imam Khomeini (rah), Shahr- E-Rey branch, Tehran, Iran.
Mohammad Reza Moniri
Department of Electrical Engineering, Islamic Azad University Yadegare-E-Imam Khomeini (rah), Shahr- E-Rey branch, Tehran, Iran.
Ramin Shaghaghi
Department of Electrical Engineering, Islamic Azad University Yadegare-E-Imam Khomeini (rah), Shahr- E-Rey branch, Tehran, Iran.
View Book:- https://stm.bookpi.org/NPER-V9/article/view/6295
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