We present a one-bit quantified phase-based algorithm combined with the noiseless correlation transformation (PANCT) to estimate the three-dimensional (3D) parameters (i.e., azimuth angle, elevation angle, and range) of wideband near-field source via uniform circular array. We first propose a noiseless correlation transformation scheme without direction of arrival pre-estimation to obtain the correlation matrix of focusing frequency bin. Then, we exploit the phase differences to construct indefinite matrix and implement the least-square method to derive 3D parameters. Considering that the complexity scenarios include phase ambiguity and one-bit quantization, we further propose the corresponding unambiguous PANCT algorithm and one-bit quantified PANCT algorithm, respectively. Simulation results demonstrate that the proposed algorithms provide satisfactory estimation performance with low computational complexity.
Localization of a source whose half-wavelength is smaller than the array aperture would suffer from serious phase ambiguity problem, which also appears in recently proposed phase-based algorithms. In this paper, by using the centro-symmetry of fixed uniform circular array (UCA) with even number of sensors, the source’s angles and range can be decoupled and a novel ambiguity resolving approach is addressed for phase-based algorithms of source’s 3-D localization (azimuth angle, elevation angle, and range). In the proposed method, by using the cosine property of unambiguous phase differences, ambiguity searching and actual-value matching are first employed to obtain actual phase differences and corresponding source’s angles. Then, the unambiguous angles are utilized to estimate the source’s range based on a one dimension multiple signal classification (1-D MUSIC) estimator. Finally, simulation experiments investigate the influence of step size in search and SNR on performance of ambiguity resolution and demonstrate the satisfactory estimation performance of the proposed method.
In order to resolve the phase ambiguity in parameter estimation of a high frequency source with uniform circular array (UCA), this paper presents an algorithm via clustering to obtain the source’s 3-D parameters (azimuth angle, elevation angle, and range) unambiguously. By computing the phase differences between centro-symmetric sensors and employing some mathematics, angle parameters of the source can be decoupled and be estimated. Then, a plural matrix is developed based on ambiguity search, where each column includes a plural constituted by real angle parameters. Further, the unambiguous angle parameters can be obtained by the means of clustering based on range. A one dimension MUSIC method is applied to estimate range parameter after the angle parameters have been obtained. Numerical examples are also presented to demonstrate the performance of the proposed algorithm.
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