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DOA Estimation of Noncircular Signals Under Impulsive Noise Using a Novel Empirical Characteristic Function-Based MUSIC

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Abstract

Noncircular (NC) signals constitute a significant class of signals that are frequently employed in communication systems. In the presence of extremely impulsive noises, determining the direction of these signals can present significant challenges. When the noise tail becomes heavier or the signal-to-noise ratio decreases, existing methods yield poor results. Recently, the authors have developed an empirical characteristic function (ECF)-based MUSIC algorithm. This method is called ECF-MUSIC. Despite its robustness and high precision, it only works with circular signals. This is a direct result of the covariance matrix of the ECF-MUSIC method containing a nonzero relation matrix. In this paper, a novel ECF-based MUSIC is developed to exploit the ECF in DOA estimation of NC signals. Using the CF of the output of the extended array, a new covariance-like matrix is introduced. Then, an analysis of eigen-decomposition is performed to develop a new MUSIC algorithm. Due to the unique properties of ECF, such as its ability to preserve information, this method yields precise results, particularly in the presence of heavy tail noise. Additionally, it doubles the maximum number of detectable sources. The Monte Carlo simulations demonstrate the excellent performance of the method, NC-ECF-MUSIC. This method outperforms existing methods in terms of estimation error and resolution, as demonstrated by these results.

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Data Availability Statement

The dataset generated during and/or analyzed during the current study are available from the corresponding author on reasonable request.

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Authors and Affiliations

  1. Mechanical Engineering Department, Amirkabir University of Technology, Tehran, Iran

    Mohsen Asghari & Seyed Mehdi Rezaei

  2. New Technologies Research Center, Amirkabir University of Technology, Tehran, Iran

    Mohammad Zareinejad

  3. Electrical Engineering Department, Amirkabir University of Technology, Tehran, Iran

    Hamidreza Amindavar

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  1. Mohsen Asghari
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  2. Mohammad Zareinejad
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  3. Seyed Mehdi Rezaei
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  4. Hamidreza Amindavar
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Correspondence to Mohammad Zareinejad.

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Asghari, M., Zareinejad, M., Rezaei, S.M. et al. DOA Estimation of Noncircular Signals Under Impulsive Noise Using a Novel Empirical Characteristic Function-Based MUSIC. Circuits Syst Signal Process 42, 3706–3743 (2023). https://doi.org/10.1007/s00034-022-02289-9

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