Parameter estimation for coherently distributed noncircular sources under impulsive noise environments
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ORIGINAL PAPER
Parameter estimation for coherently distributed noncircular sources under impulsive noise environments Lemeng Chao1 · Tianshuang Qiu1 · Quan Tian1 · Jingchun Li2 · Rong Li2 Received: 6 May 2019 / Revised: 20 February 2020 / Accepted: 2 April 2020 © Springer-Verlag London Ltd., part of Springer Nature 2020
Abstract The signal source generates angular expansion in space due to scattering, reflection and other phenomena in a complex environment, which requires a distributed signal model for processing. This paper extends the method of joint angular estimation for coherently distributed (CD) sources consisting of noncircular signals to the impulsive noise scenario. In an actual wireless passive positioning environment, impulsive noise is very common. However, most algorithms only consider Gaussian noise environments and are not suitable for angle estimation in impulsive noise scenarios. This paper proposes the generalized complex correntropy (GCC) and shows that it can eliminate the effects of outliers in an impulsive noise environment. This is because the complex correntropy is an effective tool to analyze higher-order statistical moments in the impulsive noise environment. In order to improve the accuracy of the estimation, we construct a GCC matrix based on extended array output and apply the subspace techniques to extract the angle information of the CD noncircular sources. The simulation results show that the estimation performance of the proposed algorithms is better than the traditional algorithm applied to the noncircular CD sources. Keywords Noncircular signals · Coherently distributed sources · Complex correntropy · Impulsive noise
1 Introduction Wireless location technology has been widely used in military and civilian areas. Direction of arrival (DOA) estimation is a classical research problem in wireless passive location [1]. The point source model often used in the literature on array signal processing is applied in an open area environment, where there is an electromagnetic direct path between the source and the base station. In fact, in wireless communications, the transmitted signal is usually blocked by buildings, vehicles, trees or reflected by rough sea level. In the case of scattering sources and multipath effects, the performance of the DOA estimation algorithm based on the point source is degraded [2]. Considering the effect of angular spread caused by the multipath scattering phenomenon, the distributed source model is more suitable than the point source model.
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Tianshuang Qiu [email protected]
1
Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian 116024, China
2
State Radio Monitoring Center, Beijing 100037, China
In the point source model, it is generally assumed that there are only a limited number of spatial discrete point sources in the observation space, which are spatially sparsely distributed. For distributed sources, the components of the incident signal usually overlap in the observation space, so that the dis
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