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基于展开深度网络的EM信息全息成像

Unrolled RF Holographic Imaging: Structured Sparsity and Low-Rank EM Model Adaptation

Federica Fieramosca, Alexander Paulus, Richard Oliveira, Stefano Savazzi

arXiv 2608.22409首次发表:更新:

发表机构

Consiglio Nazionale delle Ricerche, IEIIT institute; Technical University of Munich (TUM)(意大利国家研究委员会,IEIIT研究所; 慕尼黑工业大学)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

本文提出W-LISTA和LoRaW-LISTA两种展开深度网络方法,用于EM信息全息成像,结合后在人体成像等任务中精度分辨率优于基线,且具备隐私保护特性。

AI 中文摘要

智能无线电环境(SRE)是万物互联(IoE)的基础范式,其中密集的相位相干天线阵列构成集成感知与通信(ISAC)的共享基础设施。射频(RF)全息术是SRE的核心感知组件,它从相位敏感的场测量中重建电磁(EM)散射场景的体积图,利用 stray RF辐射的基础设施快照,无需专用传感器。为使重建准确且快速适配,本文采用算法展开技术,将经典全息求解器的迭代过程转化为紧凑可训练深度网络的层,既保留EM物理解释,又仅从有限数据中学习少量参数。本文基于展开的迭代收缩阈值算法(ISTA),即学习型ISTA(LISTA),首先提出加权LISTA(W-LISTA),它保留EM正向模型并学习空间变化的正则化,将稀疏先验导向与部署一致的目标形状。其次,低秩加权LISTA(LoRaW-LISTA)对全息算子应用低秩适配(LoRa),以补偿线性化EM近似带来的模型失配。两种方法均通过全波EM仿真和2.45 GHz下含人体模型的室内实验验证,相比基线方法提升了精度和分辨率。将W-LISTA的空间变化正则化与EM模型的LoRa适配结合,可在经典迭代求解器失效时实现更优重建。所提工具是SRE感知层的快速适配组件,其重建结果(包括人体形状成像)天生具备隐私保护特性。

英文摘要

Radio-Frequency (RF) holographic imaging reconstructs a volumetric map of the permittivity contrast from phase-coherent samples of the scattered electromagnetic (EM) field. The resulting inverse problem is severely ill-posed, as the receivers are orders of magnitude fewer than the unknown 3D volume elements (voxels). It is classically regularized by sparsity-promoting solvers such as the Iterative Shrinkage-Thresholding Algorithm (ISTA). Two assumptions limit these solvers: the L1 penalty is spatially uniform, and the EM forward model is typically approximated as a linear operator. This paper revisits the problem through algorithm unrolling, in which the solver iterations become the layers of a compact trainable network that preserves the EM forward model and learns only a few interpretable parameters from limited data. Building on the Learned ISTA (LISTA), a Weighted LISTA (W-LISTA) is first proposed, which learns a spatially-varying L1 regularization, steering the sparsity prior towards target shapes consistent with the deployment. Second, the Low-Rank Weighted LISTA (LoRaW-LISTA) applies a low-rank adaptation (LoRa) of the holographic operator to compensate for model mismatches from linearized EM approximations. Both methods are validated on full-wave EM simulations and on a 2.45GHz indoor measurement campaign with human-body phantoms. Combining the spatially-varying regularization with the low-rank adaptation of the EM model improves the signal-to-clutter ratio by about 70% over the ISTA and LISTA baselines, recovering structural details where classical iterative solvers fail. Inference takes less than 30s to reconstruct 1m^3 of scene on conventional GPUs. The proposed tools are rapidly adaptable building blocks for the sensing layer of emerging smart radio environments.

Commentssubmitted for possible publication to IEEE

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