IAA 与TV 正则化联合优化的MIMO 雷达料面轮廓成像方法
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桂林电子科技大学信息与通信学院桂林541004

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TH89TN957. 51

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广西重点研发项目(桂科FN2600640261,桂科AB23075161)资助


IAA and TV regularization jointly optimized MIMO radar imaging method for material surface profile reconstruction
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School of Information and Communication Engineering, Guilin University of Electronic Technology, Guilin 541004, China

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    摘要:

    料位测量是工业自动化管理的核心需求,而毫米波雷达成像技术作为实现精确测量的关键手段,其料面轮廓的成像质量直接决定了监测的可靠性与精度。针对现有超分辨方法难以有效恢复清晰的料面轮廓且在低信噪比(SNR)下性能恶化的问题,提出一种基于迭代自适应方法(IAA)与全变差(TV)正则化联合优化的料面轮廓成像方法。首先,采用角反射器标定法补偿实际阵列通道的增益/相位不一致性,确保回波数据的可靠性。其次,采用IAA引导的迭代重加权最小二乘(IRLS)稳健求解算法,以解决传统IRLS算法求解TV正则项时因受噪声干扰易产生虚假轮廓的问题,即通过IRLS框架将非平滑正则化问题转化为可迭代求解的加权最小二乘问题,并利用IAA估计的角度功率谱的梯度信息作为空间先验信息,可获取各角度位置存在料面边缘的可能性,以此自适应调整TV正则化权重中各位置的惩罚强度,从而有效消除低信噪比环境下的虚假轮廓。进一步地,采用回波残差与协方差矩阵残差的反馈机制来更新正则化参数,解决超参数人工调节带来的不稳定性。仿真与实测结果表明,所提方法能够提升料面轮廓的成像质量,且在低信噪比条件下也具有鲁棒性。与IAA相比,均方根误差约降低76%,图像的交叉熵约降低7.8%;与TV-Sparse相比,均方根误差约降低6%,图像的交叉熵约降低3%。

    Abstract:

    Material level measurement is a core requirement in industrial automation management, and millimeter-wave radar imaging technology serves as a key approach for achieving precise measurement. The imaging quality of the material surface profile directly determines the reliability and accuracy of monitoring. However, existing super-resolution methods struggle to effectively reconstruct clear material surface profiles and their performance deteriorates significantly under low signal-to-noise ratio (SNR) conditions. This paper proposes an imaging method for material surface profiles based on the joint optimization of iterative adaptive approach (IAA) and total variation (TV) regularization. First, a corner reflector calibration method is employed to compensate for gain and phase inconsistencies across the actual array channels, thereby ensuring the reliability of the echo data. Secondly, an IAA-guided Iteratively reweighted least squares (IRLS) robust algorithm is employed to mitigate the generation of false contours—a common defect of conventional IRLS-based TV regularization solutions caused by noise interference. Within the IRLS framework, the non-smooth regularization problem is converted into a series of weighted least squares problems that can be solved iteratively. The gradient information derived from the IAA-estimated angular power spectrum is then utilized as spatial prior information to assess the probability of material edge presence at different angular positions. This enables the adaptive adjustment of the penalty intensity within the TV weights, effectively eliminating false contours in low signal-to-noise ratio SNR environments. Furthermore, a feedback mechanism based on echo residuals and covariance matrix residuals is introduced to update the regularization parameters, overcoming the instability associated with manual hyperparameter tuning. Simulation and experimental results demonstrate that the proposed method enhances the imaging quality of material surface profiles and remains robust under low signal-to-noise ratio conditions. Compared with the Iterative Adaptive Approach IAA, the root mean square error is reduced by approximately 76%, and the image cross-entropy is reduced by about 7.8%; compared with TV-Sparse, the root mean square error is reduced by approximately 6%, and the image cross-entropy is reduced by about 3%.

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晋良念,符博奋. IAA 与TV 正则化联合优化的MIMO 雷达料面轮廓成像方法[J].仪器仪表学报,2026,47(7):235-248

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  • 在线发布日期: 2026-09-24
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