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<p>A direction-finding algorithm based on the cross array with the fourth-order cumulants (FOC) is proposed to cope with the near-field (NF) sources localization problem. By generating a FOC matrix on the X-axis, the quadratic term in the phase delay could be eliminated, and the received data on the uniform linear array (ULA) corresponding to the X-axis is converted into pseudo-data for the virtual far-field (FF) that subsequently operated by the vectorization. With several sampling delay to construct a covariance-like matrix, the estimates of the electrical angle <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="34_2025_3057_Article_IEq1.gif" Format="GIF" Height="10" Rendition="HTML" Resolution="72" Type="Linedraw" Width="14" /> </InlineMediaObject> <EquationSource Format="TEX">\(\alpha \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>α</mi> </math></EquationSource> </InlineEquation> and range can be obtained by two multiple signal classification (MUSIC) algorithm in turn. And the same procedure can be used on the Y-axis to obtain the estimates of respective electrical angle <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="34_2025_3057_Article_IEq2.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="13" /> </InlineMediaObject> <EquationSource Format="TEX">\(\theta \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>θ</mi> </math></EquationSource> </InlineEquation> and range. Simple pairing process is performed on the two-dimensional (2-D) electrical angle, and range. Simulation results illustrate the effectiveness of the proposed algorithm.</p>

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Cumulants-based near-field localization method for cross array

  • 期刊论文

  • 发表日期：

    2025年3月13日

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  • Heping Shi,
  • Xinyu Weng,
  • Guanghui Yan,
  • Zhuo Li,
  • Haijing Hou

摘要

A direction-finding algorithm based on the cross array with the fourth-order cumulants (FOC) is proposed to cope with the near-field (NF) sources localization problem. By generating a FOC matrix on the X-axis, the quadratic term in the phase delay could be eliminated, and the received data on the uniform linear array (ULA) corresponding to the X-axis is converted into pseudo-data for the virtual far-field (FF) that subsequently operated by the vectorization. With several sampling delay to construct a covariance-like matrix, the estimates of the electrical angle \(\alpha \) α and range can be obtained by two multiple signal classification (MUSIC) algorithm in turn. And the same procedure can be used on the Y-axis to obtain the estimates of respective electrical angle \(\theta \) θ and range. Simple pairing process is performed on the two-dimensional (2-D) electrical angle, and range. Simulation results illustrate the effectiveness of the proposed algorithm.