对比三种正则化方法,提升3D无线断层成像精度与效率
Benchmarking Regularization Methods For 3D Radio Tomographic Imaging

- 在x3DPRA框架中测试岭、总变差、张量核三种正则化
- 总变差正则化重建质量最优,但计算耗时较长
- 为未来6G感知通信系统提供高分辨率3D成像方案
集成感知与通信(ISAC)是6G关键技术,使无线系统能够感知物理环境。无线断层成像(RTI)是一种潜在的无设备感知技术,通过接收信号强度(RSS)测量重建物体位置与形状,可作为雷达和激光雷达的窄带补充,具备波长分辨能力。近期提出的扩展相位无信息瑞托夫近似(x3DPRA)提升了RTI的重建质量,能估计材料参数,并将RTI从二维拓展至三维。然而,3D形式比2D更不适定,测量数远少于未知体素数。本文系统评估并比较了x3DPRA框架内三种正则化方法(岭回归、总变差、张量核范数)。通过重建质量与计算时间的详细分析,发现总变差正则化在重建质量上表现最佳,但运行时间最长,为未来高分辨率3D RTI系统开发提供指导。
原文摘要 · Abstract (English)
Integrated Sensing and Communication (ISAC) is an important technology for 6G, enabling wireless systems to perceive their physical environment. Radio Tomographic Imaging (RTI) is a potential technique for device-free sensing in ISAC, reconstructing object locations and shapes from Received Signal Strength (RSS) measurements. It can complement other techniques, such as radar and LiDAR, by providing a narrowband modality with wavelength resolution. Recently, an extended version of RTI, known as the extended phaseless Rytov approximation (x3DPRA), has been developed to enhance RTI reconstruction quality, estimate material parameters, and extend RTI from two to three dimensions (3D). However, the 3D formulation is even more ill-posed than the 2D form, as the number of measurements is far fewer than the number of unknown voxels. In this work, we systematically evaluate and compare three distinct regularization approaches (Ridge, Total Variation, and Tensor Nuclear) within the x3DPRA framework. We provide a detailed performance analysis by evaluating both reconstruction quality and computational runtime across the three methods. Our findings show that Total Variation regularization provides the best reconstruction quality but not the fastest runtime, providing guidance for developing high-resolution 3D RTI systems for future ISAC applications.
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