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Neural Beam Field for Spatial Beam RSRP Prediction

Keqiang Guo, Yuheng Zhong, Xin Tong, Jiangbin Lyu, Rui Zhang

TL;DR

This work tackles the challenge of predicting spatial beam RSRP in dense wireless networks without prohibitive CSI overhead. It introduces Neural Beam Field (NBF), a hybrid neural-physical framework where a Transformer-based network learns a site-specific Multi-path Conditional Power Profile (MCPP) and a physics-informed whitebox maps MCPP to RSRP statistics, aided by a Pretrain-and-Calibrate (PaC) strategy using ray-tracing priors. The method provides closed-form RSRP statistics conditioned on MCPP, achieves superior prediction accuracy, faster convergence, and better generalization than CKMs and pure blackbox models, while maintaining a compact model size. This physically grounded, scalable approach enables efficient beam management in next-generation dense networks. The PaC strategy further improves adaptability to unknown environments, suggesting strong practical impact for real-time beam scheduling and user association in 5G/6G deployments.

Abstract

Accurately predicting beam-level reference signal received power (RSRP) is essential for beam management in dense multi-user wireless networks, yet challenging due to high measurement overhead and fast channel variations. This paper proposes Neural Beam Field (NBF), a hybrid neural-physical framework for efficient and interpretable spatial beam RSRP prediction. Central to our approach is the introduction of the Multi-path Conditional Power Profile (MCPP), a learnable physical intermediary representing the site-specific propagation environment. This approach decouples the environment from specific antenna/beam configurations, which helps the model learn site-specific multipath features and enhances its generalization capability. We adopt a decoupled ``blackbox-whitebox" design: a Transformer-based deep neural network (DNN) learns the MCPP from sparse user measurements and positions, while a physics-inspired module analytically infers beam RSRP statistics. To improve convergence and adaptivity, we further introduce a Pretrain-and-Calibrate (PaC) strategy that leverages ray-tracing priors for physics-grounded pretraining and then RSRP data for on-site calibration. Extensive simulation results demonstrate that NBF significantly outperforms conventional table-based channel knowledge maps (CKMs) and pure blackbox DNNs in prediction accuracy, training efficiency, and generalization, while maintaining a compact model size. The proposed framework offers a scalable and physically grounded solution for intelligent beam management in next-generation dense wireless networks.

Neural Beam Field for Spatial Beam RSRP Prediction

TL;DR

This work tackles the challenge of predicting spatial beam RSRP in dense wireless networks without prohibitive CSI overhead. It introduces Neural Beam Field (NBF), a hybrid neural-physical framework where a Transformer-based network learns a site-specific Multi-path Conditional Power Profile (MCPP) and a physics-informed whitebox maps MCPP to RSRP statistics, aided by a Pretrain-and-Calibrate (PaC) strategy using ray-tracing priors. The method provides closed-form RSRP statistics conditioned on MCPP, achieves superior prediction accuracy, faster convergence, and better generalization than CKMs and pure blackbox models, while maintaining a compact model size. This physically grounded, scalable approach enables efficient beam management in next-generation dense networks. The PaC strategy further improves adaptability to unknown environments, suggesting strong practical impact for real-time beam scheduling and user association in 5G/6G deployments.

Abstract

Accurately predicting beam-level reference signal received power (RSRP) is essential for beam management in dense multi-user wireless networks, yet challenging due to high measurement overhead and fast channel variations. This paper proposes Neural Beam Field (NBF), a hybrid neural-physical framework for efficient and interpretable spatial beam RSRP prediction. Central to our approach is the introduction of the Multi-path Conditional Power Profile (MCPP), a learnable physical intermediary representing the site-specific propagation environment. This approach decouples the environment from specific antenna/beam configurations, which helps the model learn site-specific multipath features and enhances its generalization capability. We adopt a decoupled ``blackbox-whitebox" design: a Transformer-based deep neural network (DNN) learns the MCPP from sparse user measurements and positions, while a physics-inspired module analytically infers beam RSRP statistics. To improve convergence and adaptivity, we further introduce a Pretrain-and-Calibrate (PaC) strategy that leverages ray-tracing priors for physics-grounded pretraining and then RSRP data for on-site calibration. Extensive simulation results demonstrate that NBF significantly outperforms conventional table-based channel knowledge maps (CKMs) and pure blackbox DNNs in prediction accuracy, training efficiency, and generalization, while maintaining a compact model size. The proposed framework offers a scalable and physically grounded solution for intelligent beam management in next-generation dense wireless networks.

Paper Structure

This paper contains 18 sections, 1 theorem, 22 equations, 5 figures, 1 table.

Key Result

Proposition 1

For independent random channel phases $\Phi_{l}$, $l\in\mathcal{L}$ uniformly distributed in $[0,2\pi)$, the mean and variance of the normalized beam RSRP in RSRPdef are given by where $\gamma_l\triangleq G(\Pi_{\text{tx},l}) p_l |\Delta_l|^2$ denotes the average power gain, and $|\Delta_l|^2= \frac{1}{N_\text{tx}} | S_{N_{\text{tx,y}}}(\zeta_{\text{tx,y},l} +\xi_{\text{tx,y}}) |^2 | S_{N_{\text{

Figures (5)

  • Figure 1: Three‐sector urban macrocell scenario with site-specific blockages and multipath propagation conditions.
  • Figure 2: NBF Network Architecture.
  • Figure 3: (a) Mean and (b) standard deviation of beam RSRP obtained by MC simulations and formulas under different beam configurations.
  • Figure 4: Spatial mean RSRP heatmap comparison for a given beam: ground truth (left), NBF (center), and MLP (right).
  • Figure 5: MAE comparison under ray-traced deterministic channel (left) and hybrid channel with add-on random MCPP components (right).

Theorems & Definitions (1)

  • Proposition 1