Although Maxwell discovered the physical laws of electromagnetic waves 160\nyears ago, how to precisely model the propagation of an RF signal in an\nelectrically large and complex environment remains a long-standing problem. The\ndifficulty is in the complex interactions between the RF signal and the\nobstacles (e.g., reflection, diffraction, etc.). Inspired by the great success\nof using a neural network to describe the optical field in computer vision, we\npropose a neural radio-frequency radiance field, NeRF$^\\textbf{2}$, which\nrepresents a continuous volumetric scene function that makes sense of an RF\nsignal's propagation. Particularly, after training with a few signal\nmeasurements, NeRF$^\\textbf{2}$ can tell how/what signal is received at any\nposition when it knows the position of a transmitter. As a physical-layer\nneural network, NeRF$^\\textbf{2}$ can take advantage of the learned statistic\nmodel plus the physical model of ray tracing to generate a synthetic dataset\nthat meets the training demands of application-layer artificial neural networks\n(ANNs). Thus, we can boost the performance of ANNs by the proposed\nturbo-learning, which mixes the true and synthetic datasets to intensify the\ntraining. Our experiment results show that turbo-learning can enhance\nperformance with an approximate 50% increase. We also demonstrate the power of\nNeRF$^\\textbf{2}$ in the field of indoor localization and 5G MIMO.\n
Xiaopeng ZhaoZhenlin AnQingrui PanLei Yang
Kaicheng LiuWenjun JiangXiaojun Yuan
Thomas MüllerAlex EvansChristoph SchiedM. FocoAndrás Bódis-SzomorúIsaac DeutschMichael ShelleyAlexander Keller