基于迭代原子范數(shù)最小化的均勻圓陣方位估計

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關(guān)鍵詞：均勻圓環(huán)陣；虛擬成陣；對角重構(gòu)；原子范數(shù)最小化；交替方向乘子法 中圖分類號：P733.24；TB566 文獻(xiàn)標(biāo)志碼：A DOI：10.12305/j.issn.1001-506X.2025.06.03

Abstract：To address the challenge of underwater array direction of arrival（DOA）estimation of poor discrimination between adjacent sound sources when only a few snapshots are available，a fast estimation method based on iterative atomic norm minimization （IANM） is proposed for estimating the DOA for uniform circular arrays.To reduce the impact of non-uniform noise caused by modal domain processing，the proposed method preprocesses the array manifolds using the modal domain processing technique.This technique transforms the uniform circular array（UCA）into a virtual linear arrayand then estimates the covariance matrix of thereceived signal in theabsence of noise through diagonal reconstruction.In order to make full use of the sparsity of the received signal and avoid the eror caused by dictionary grid search，an IANM sparse recovery method is introduced in the modal domain，and the UCA-IANMdirection estimation method is proposed.The sparse recovery problem of atomic norm minimization（ANM） is typically addressed using the interior point method，which leads to a sharp increase in workload as the number of received signal snapshots grows，making it unsuitable for scenarios with limited underwater computational resources.In this paper，based on the alternating direction multiplier method（ADMM），the UCA-IANM assisted by ADMM with parameter optimization （UCA-IANM-APO）DOA fast estimation method is proposed to address the challnge in selecting theregularization parameter. Simulation experiments and measured data demonstrate that the UCA-IANMAPO method has better angular resolution and estimation accuracy compared to the traditional DOA estimation methods，and the solution speed is improvedby two orders of magnitude compared to the interior point method.

Keywords：uniform circular array（UCA）；virtual array；diagonal reconstruction；atomic norm minimization （ANM）；alternating direction multiplier method

0 引言

隨著經(jīng)濟(jì)發(fā)展，各國在海洋科技領(lǐng)域的競爭愈發(fā)激烈，如何實(shí)現(xiàn)水下高精度定位成為被重點(diǎn)討論的問題[1-2]。（剩余18035字）