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In this paper a new sparse array representation is proposed to reformulate the Direction of Arrival (DOA) estimate. The nested arc array was developed by using the Forth-Order Cumulants (FOC). That increases virtually the total array aperture leading to promoting the degrees of freedom (DOF). It is suitable for over- and under-determined direction of arrival estimation. The Root Mean Square Error (RMSE), and the DOA estimation for such an array are developed and investigated for various array structures. This is applicable despite the source number exceeding the sensor number, and it is suitable for two-dimensional (2D) DOA estimation problems under the effect of multiple sources with different separation angles between the incident signals. The proposed array performs superiorly to the uniform arc array.

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2D DOA Estimation for Multiple Signals Using Nested Arc Array

  • 会议论文

  • 发表日期：

    2026年

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  • Tarek Abd El-Rahman,
  • Amgad A. Salama,
  • Walid M. Saad,
  • Mohamed H. El-Shafey

摘要

In this paper a new sparse array representation is proposed to reformulate the Direction of Arrival (DOA) estimate. The nested arc array was developed by using the Forth-Order Cumulants (FOC). That increases virtually the total array aperture leading to promoting the degrees of freedom (DOF). It is suitable for over- and under-determined direction of arrival estimation. The Root Mean Square Error (RMSE), and the DOA estimation for such an array are developed and investigated for various array structures. This is applicable despite the source number exceeding the sensor number, and it is suitable for two-dimensional (2D) DOA estimation problems under the effect of multiple sources with different separation angles between the incident signals. The proposed array performs superiorly to the uniform arc array.