DOA Estimation of Non-Circular Signals using Fourth Order Cumulant in Underdetermined Cases

In this paper, we estimate the Direction of Arrival (DoA) of the non-circular signals impinging on the Non-Uniform Linear Array (NULA). A new methodology based on the fourth order cumulant is proposed where the NULA output signal is transformed into the virtual array output signal by utilizing the non-circularity properties. Next, we focused on the enhancing the degrees of freedom by designing the NULA. The proposed NULA design yields the virtual array which offers the significant increase the degrees of freedom as compared to others existing NULAs. The effectiveness of proposed array is verified through the numerical example, and simulation results proved the outperformance of proposed array.

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