Abstract
Direction of arrival (DOA) estimation with co-prime array is a hot issue in array signal processing. By using co-prime array structure, the degrees of freedom has been greatly improved, which can estimate much more sources than that of the conventional array structure. In the scenario of impulsive noise, the high-order (2-order or 4-order) moments of received signal do not exist, fractional low-order moments (FLOM) can be applied. In this paper, the concept of the co-prime array is extended to be applied on FLOM of received signal in presence of impulsive noise. And then MUSIC algorithm is used for DOA estimation. The proposed method is tested on the numerical data. The simulation results prove the effectiveness of the proposed method in impulsive noise scheme.
Highlights
Direction of arrival (DOA) estimation is a long-lasting issue for decades, which is widely used in the field of radar, sonar, source positioning, wireless communication, etc. [1]–[3]
We extend the co-prime DOA estimation to the scenario of impulsive noise
Toeplitz reconstruction method to restore the rank of the data covariance matrix of zPFLOM and use MUSIC algorithm to esstimate the DOAs of incoming signals
Summary
Direction of arrival (DOA) estimation is a long-lasting issue for decades, which is widely used in the field of radar, sonar, source positioning, wireless communication, etc. [1]–[3]. For co-prime array, the distance between two adjacent sensors is greater than half wavelength of received signal, the mutual coupling effect can be dropped This technique attempts to vectorize the data covariance matrix of the second-order statistics or fourth-order cumulant of the received signal and construct a virtual array involving the steering vectors with an extended aperture. Contrary to the scenario of Gaussian noise (co-prime technique applies on the data covariance matrix/high order cumulant), this work focuses on the FLOS of received signal. The paper is organized as follows: Section 2 presents DOA estimation with co-prime array in presence of additive Gaussian white noise; in section 3, the co-prime array configuration is extended to the scheme of impulsive noise, and the FLOM and phase FLOM (PFLOM) is applied. Subspace-based methods, like MUSIC and ESPRIT fail to estimate the DOA of signals
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