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一种稳健的互质空间步进频雷达参数估计方法OA

A Robust Parameter Estimation Method for Coprime Spatial Stepped-Frequency Radar

中文摘要英文摘要

互质空间步进频雷达通过构建虚拟孔径并合成等效大带宽,有效提升了角度与距离分辨率.然而,传统方法通过对样本协方差矩阵进行向量化来获取虚拟阵列数据时,会破坏接收信号在发射-接收-快拍维的固有结构,导致信息损失.尽管基于张量平行因子分解的方法能够保留信号的三维结构,但其分解误差会在后续的互质阵虚拟化过程中被放大,从而影响参数估计的性能.为此,本文提出了一种基于Hankel矩阵重构的稳健参数估计方法.该方法首先构建接收信号的三阶张量模型,并引入了快拍维低秩近似以降低计算复杂度;随后,针对张量分解误差的放大问题,将虚拟导向矢量的估计值重构为Hankel矩阵,并结合截断奇异值分解,有效修正了导向矢量的估计偏差.仿真结果表明,在低信噪比和小快拍条件下,所提方法相较于2D-SSMUSIC、PARAFAC以及HOSVD-RDMUSIC算法,具有更高的估计精度和鲁棒性,且计算复杂度更低.

The coprime spatial stepped-frequency radar effectively enhances both the angular and range resolution by constructing a virtual aperture and synthesizing an equivalent large bandwidth.However,conventional methods that vectorize the sample covariance matrix to obtain virtual array data will distort the inherent structure of the received sig-nal across the transmit-receive-snapshot dimensions,leading to information loss.Although the method based on parallel factor decomposition(PARAFAC)preserve the three-dimensional structure of the signal,its decomposition errors are amplified during the subsequent coprime array virtualization,which negatively impacting the parameter estimation per-formance.To address this issue,this paper proposes a robust parameter estimation method based on Hankel matrix re-construction.Firstly,a third-order tensor model of the received signal is constructed,and the snapshot-dimensional low-rank approximation is introduced to reduce the computational complexity.Then,to mitigate the amplification of ten-sor decomposition errors,the estimated virtual steering vectors are reconstructed into Hankel matrices and refined via truncated singular value decomposition(TSVD),effectively correcting estimation bias.Simulation results demonstrate that,under low signal-to-noise ratio and small snapshot conditions,the proposed method outperforms 2D-SSMUSIC,PARAFAC,and HOSVD-RDMUSIC algorithms in terms of estimation accuracy and robustness,while significantly re-ducing the computational complexity.

贺顺;李梦瑶;杨志伟

西安科技大学通信与信息工程学院,陕西 西安 710600西安科技大学通信与信息工程学院,陕西 西安 710600西安电子科技大学雷达信号处理全国重点实验室,陕西 西安 710071

信息技术与安全科学

互质空间步进频雷达平行因子分解Hankel矩阵重构截断奇异值分解误差抑制

coprime spatial stepped-frequency radarparallel factor decomposition(PARAFAC)Hankel matrix reconstructiontruncated singular value decomposition(TSVD)error mitigation

《雷达科学与技术》 2026 (3)

308-319,12

国家自然科学基金(62271386)

10.3969/j.issn.1672-2337.2026.03.008

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