Abstract
In order to deal with the problem of passive mixed source localization under unknown mutual coupling, the authors propose an effective algorithm. This algorithm provides array blind calibration as well as classification and localization of mixed sources in this paper. In practice, an ideal sensor array without the effects of unknown mutual coupling is rarely satisfied, which degrades the performance of most high-resolution algorithms. Firstly, the directions of arrival of far-field sources and the number of nonzero mutual coupling coefficients are estimated directly through the rank-reduction type method. Then, these estimates are adopted to reconstruct the mutual coupling matrix. In addition, the fourth-order cumulant technique is required to eliminate the Gauss colored noise effects caused by mutual coupling calibration of the raw received data vector. Finally, in an algebraic way, the results of rapid classification and localization of near-field sources are obtained without any spectral search. The proposed algorithm is described in detail, and its behavior is illustrated by numerical examples.
Highlights
Passive mixed source localization using array signal processing techniques has received considerable attention over the past decades
Large numbers of high-resolution algorithms have been proposed to deal with the direction of arrival (DOA) estimation problem of FF sources, such as estimation of signal parameters via rotational invariance technique (ESPRIT) [1, 2] and multiple signal classification (MUSIC) method [3, 4]
The input signal to noise ratio (SNR) of the kth source is defined as 10 × log10(σk2/σn2), where σk2 denotes the power of the k-th source, and σn2 denotes the noise power
Summary
Passive mixed source localization using array signal processing techniques has received considerable attention over the past decades. For a far-field (FF) source with plane wave front, only the direction of arrival (DOA) parameter is required to be estimated. All aforementioned algorithms generally work based on the assumption of ideal array. It means that there is no any steering vectors mismatch caused by the unknown mutual coupling [5] or the spherical wave front effect [6] in array. For an arbitrary NF source, both DOA and range parameters are required to be estimated since the assumption of plane wave front is no longer valid
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