Abstract
By exploiting favorable characteristics of a uniform cross-array, a passive localization algorithm of narrowband cyclostationary sources in the spherical coordinates (azimuth, elevation, and range) is proposed. Firstly, we construct a parallel factor (PARAFAC) analysis model by computing the third-order cyclic moment matrices of the properly chosen sensor outputs. Then, we analyze the uniqueness of the constructed model and obtain three-dimensional (3D) near-field parameters via trilinear alternating least squares regression (TALS). The investigated algorithm is well suitable for the localization of the near-field cyclostationary sources. In addition, it avoids the multidimensional search and pairing parameters. Results of computer simulations are carried out to confirm the satisfactory performance of the proposed method.
Highlights
There has been considerable interest in bearing estimation for radar, sonar, communication, and electronic surveillance [1]
The presented results are evaluated by the estimated root mean square error (RMSE) from the averaged results of 200 independent Monte-Carlo simulations
When SNR varies from 0 dB to 25 dB, the RMSE of the elevation, azimuth, and range estimations for two near-field cyclostationary sources can be shown in Figures 2, 3, and 4
Summary
There has been considerable interest in bearing estimation for radar, sonar, communication, and electronic surveillance [1]. A significant amount attention has been paid to this issue and several near-field sources localization algorithms [5,6,7] are available All these methods as mentioned above only address the 2D problem of estimating azimuth and range and rely on the assumption of the stationary sources. Several 3D near-field sources localization methods have been developed to obtain azimuth, elevation, and range. We consider the problem of jointly estimating elevation, azimuth, and range of the near-field cyclostationary sources; what is more, a two-stage passive localization method has been proposed. The algorithm developed in this paper would be well suitable for near-field cyclostationary sources, and it does not require multidimensional search or pairing parameters; in addition, it can effectively alleviates the array aperture loss.
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