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Sparsity-based DOA Estimation of 2-D Rectangular Array in the Presence of Gain and Phase Uncertainty

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Abstract

Direction of arrival (DOA) estimation has paramount importance in array signal processing tasks. A practical issue regarding DOA estimation is the uncertainty in gain/phase of some of the sensor elements. In this paper, we focus on the 2-dimensional DOA (2D-DOA) estimation in the presence of gain/phase uncertainty. We propose a grid-based modeling for the 2D-DOA estimation of the uniform rectangular array considering the array gain/phase uncertainty. In order to solve the modeled problem, we suggest an algorithm to exploit the joint sparse properties of the problem. Furthermore, we have used a zooming-based technique to estimate the 2D-DOAs with much lower computational complexity. The efficiency of the proposed method has been validated through various simulation scenarios which confirm the superiority of the suggested algorithm over its counterparts.

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Data Availability Statement

The datasets generated and analysed during the current study are available from the corresponding author on reasonable request.

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Authors and Affiliations

  1. Faculty of Electrical Engineering, Sahand University of Technology, Tabriz, Iran

    Fatemeh Afkhaminia & Masoumeh Azghani

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  1. Fatemeh Afkhaminia
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  2. Masoumeh Azghani
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Correspondence to Masoumeh Azghani.

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Afkhaminia, F., Azghani, M. Sparsity-based DOA Estimation of 2-D Rectangular Array in the Presence of Gain and Phase Uncertainty. Circuits Syst Signal Process 40, 5014–5032 (2021). https://doi.org/10.1007/s00034-021-01705-w

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