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Adaptive Calibration of RF Digital Twins via Budget-Constrained Radio Measurement Selection

Yalin E. Sagduyu et al. · arxiv_cs
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Radio-frequency (RF) digital twins (DTs) enable site-specific wireless propagation prediction by explicitly reconstructing the physical environment and modeling electromagnetic interactions. Although physics-based DTs reduce reliance on exhaustive measurements, systematic bias relative to real radio
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Adaptive Calibration of RF Digital Twins via Budget-Constrained Radio Measurement Selection Yalin E. Sagduyu, Tugba Erpek, and Hossein Jafari

arXiv:2610.36406v1 [cs.NI] 26 Oct 2026

Nexcepta, Gaithersburg, MD, USA

Abstract—Radio-frequency (RF) digital twins (DTs) enable site-specific wireless propagation prediction by explicitly reconstructing the physical environment and modeling electromagnetic interactions. Although physics-based DTs reduce reliance on exhaustive measurements, systematic bias relative to real radio data arises from environmental uncertainty, material inaccuracies, and geometric abstractions. Calibration using field measurements is therefore necessary but costly under limited sampling budgets. This paper studies active RF DT calibration, in which measurement locations are selected sequentially and in an online manner to estimate a calibration offset under strict measurement budget constraints. A physics-based RF DT pipeline is developed, integrating semantic geospatial data from OpenStreetMap, 3D modeling in Blender, and deterministic ray tracing in Sionna to capture dominant building and foliage effects. This RF DT is calibrated using path-loss measurements collected with softwaredefined radios. Multiple online calibration strategies that select radio measurement locations are compared, including random sampling, rank-structured sampling with balanced coverage, quasi-Monte Carlo ranked selection, progressive structure-aware allocation, and fully adaptive uncertainty-driven sampling with estimator stabilization. Results demonstrate that adaptive and structure-aware schemes significantly improve both mean and worst-case calibration accuracy, particularly in the low-budget regime for radio measurements. Index Terms—RF digital twin, radio measurements, active calibration, online learning, path-loss, measurement budget.

I. I NTRODUCTION Physics-based radio-frequency (RF) digital twins (DTs) enable site-specific modeling of wireless propagation in complex environments by explicitly reconstructing physical geometry and electromagnetic (EM) interactions. They provide pathloss and received-power predictions at arbitrary locations without exhaustive field measurements [1]. Such capabilities are critical for the design and optimization of modern wireless systems, especially in dense or irregular environments where empirical models fail to capture site-specific effects [2]. In practice, RF DTs are built through a multi-stage pipeline that converts geographic data into a simulation-ready EM scene [3]–[6]. Despite their interpretability and spatial resolution, the fidelity of RF DTs is limited by geospatial uncertainty, geometric simplifications, and approximate material parameters, leading to systematic bias relative to real radio measurements. Even when spatial trends are well captured, a dominant bias can significantly degrade prediction accuracy. Calibration of RF DTs using real measurements is therefore necessary [7]–[9], preserving spatial structure while compensating for aggregate bias. However, because radio measurements are

expensive and time-consuming, DT calibration must operate under strict radio measurement-budget constraints. This motivates the problem of active DT calibration, where measurement locations are selected sequentially to maximize calibration accuracy under a bounded measurement budget. Unlike passive approaches based on fixed or random placement, active calibration leverages DT predictions and observed discrepancies to guide future measurements. We study this problem for a physics-based RF DT constructed from OpenStreetMap (OSM) data, Blender-based 3D modeling, and Sionna-based deterministic ray tracing [10]. Geospatial data are translated into explicit 3D geometry, EM materials are assigned, and ray tracing resolves line-of-sight and multipath propagation, yielding physics-grounded link-level predictions. This RF DT is calibrated with real RF measurements that we have collected using software-defined radios (SDRs). The objective is to minimize the offset between field-measured and DT-simulated path losses. For active DT calibration, we compare five schemes for selecting measurement locations under a strict budget: (i) Random Sampling (RS); (ii) Balanced Rank Sampling (BRS), an online rank-structured scheme that promotes balanced coverage of the DT prediction range through symmetric rank pairing; (iii) Quasi-Monte-Carlo Ranked Sampling (QRS), which enforces systematic coverage of the ranked DT space using a low-discrepancy sequence; (iv) Progressive Structure-Aware Sampling (PSS), which uses DT prediction variability with progressive adaptive allocation, stable latestage behavior, and robust estimation near budget exhaustion; and (v) Adaptive Uncertainty-Aware Sampling (AUS), which adapts allocation using residual-informed uncertainty proxies and stabilizes offset estimation via exponential smoothing. We show a consistent performance ordering across budgets: RS yields the largest mean and worst-case errors; BRS improves early robustness via balanced rank coverage; QRS strengthens coverage efficiency; PSS enhances robustness and convergence through progressive, stabilized allocation; and AUS achieves the fastest error decay and smallest worst-case error, especially in the low-budget regime. Overall, adaptive and structure-aware schemes can significantly increase calibration accuracy with a limited number of radio measurements. The remainder of the paper is organized as follows. Section II presents the RF DT construction pipeline. Section III formulates the DT calibration problem under measurement constraints. Section IV details the online schemes. Section V reports numerical results. Section VI concludes the paper.

OpenStreet Map (buildings, trees)

Blender 3D Geometry and Meshes

Sionna RT Ray Tracing

Digital Twin Offset Adjustment

Pathloss Prediction {𝑑𝑖 }

TX / RX (latitude, longitude, height)

Add Foliage Effects

Spectrum Properties (frequency, # rays, etc.)

Offset Estimate 𝜃෠𝑡

Online Calibration Algorithms

Transmitter Receiver

Measurement Selection

DIGITAL TWIN

Pathloss Measurements {𝑟𝑖 } from SDRs

Measurement Collection DIGITAL TWIN CALIBRATION

Fig. 1: RF DT pipeline with active calibration. (a) Oblique view.

II. P HYSICS -BASED RF D IGITAL T WIN C ONSTRUCTION Transmitter

The RF DT is constructed as a physics-aware representation of the radio environment by combining semantic geospatial data from OSM using actual location coordinates as the input, 3D modeling in Blender, and deterministic propagation via the Sionna ray-tracing framework, as shown in Fig. 1. This RF DT construction pipeline converts geographic data into a simulation-ready scene that captures geometry, material properties, and radio-wave interactions. Spatial Reference and Local Coordinate System. Transmitter and receiver locations are specified in geodetic latitudelongitude and projected into a locally valid Cartesian frame in meters. The projected coordinate system is selected automatically using the geographic midpoint to minimize distortion, and a local tangent frame is defined by translating coordinates so the origin lies near the scene center. All geometry (buildings, vegetation, and radio nodes) is expressed in this frame for numerical robustness and physical consistency. Semantic Environment Acquisition from OSM. The environment is populated using semantic geospatial data from OSM via the Overpass API. Building footprints are retrieved as polygons, while vegetation is extracted as point features representing individual trees or rows. Semantic tags are later mapped to geometric abstractions and EM material models. Geometric Modeling in Blender. Geospatial data are converted into explicit 3D geometry in Blender. Building footprints are vertically extruded into volumetric solids, a continuous ground surface is added, and vegetation is represented using simplified trunk-crown proxies. This abstraction captures dominant EM effects (blockage, attenuation, and scattering) while preserving manageable complexity for deterministic ray tracing. Beyond OSM-derived vegetation, the DT supports augmentation to compensate for missing features and enable controlled propagation studies. Additional trees are specified in the local Cartesian frame and injected as explicit geometric objects. Each injected tree consists of a vertical cylindrical trunk and a cone-shaped crown. Trunk and crown parameters are varied to match the actual vegetation size and density. The resulting Blender scene is shown in Fig. 2. Mesh Conditioning and Scene Assembly. All geometric objects are conditioned for deterministic ray tracing through triangulation with consistent surface normals and exported as individual mesh assets. These meshes are assembled into a unified scene description encoding spatial relationships and object transforms, thereby decoupling geometric modeling from EM

Receiver

(b) Top view. Fig. 2: Blender scene for the RF DT.

simulation. Vegetation primitives generated in Blender integrate directly into this pipeline. Material Semantics and EM Properties. Each object class is assigned a frequency-dependent EM material model. Ground, buildings, trunks, and crowns are modeled with distinct dielectric and conductive properties, with trunks and foliage treated separately to reflect their differing EM behavior. This separation enables systematic evaluation of the impact of geometry and material assumptions on propagation predictions. Ray-Tracing Propagation Modeling. The assembled DT is instantiated in the Sionna ray-tracing framework. Transmitters and receivers are placed in the local coordinate frame, and deterministic ray tracing enumerates multipath components from line-of-sight, reflection, diffraction, scattering, and refraction. Each path is characterized by complex gain and delay, forming a physics-grounded channel model. The scene is exported in Mitsuba-compatible format, enabling Sionna to utilize Mitsuba’s physically based rendering and ray-geometry intersection engine for deterministic propagation modeling. Additionally, injected vegetation, represented as explicit mesh geometry with consistent material assignments, is treated identically to OSM-derived objects, enabling direct assessment of its impact on multipath structure and path loss. Link-Level Metrics. Received power and path loss are computed by aggregating all resolved propagation paths and scaling by transmit power. These metrics directly reflect the encoded geometry and material properties. Local vegetation augmentation provides a practical means to mitigate bias from incomplete environmental data and to systematically evaluate sensitivity of link metrics to vegetation placement and density. III. D IGITAL T WIN C ALIBRATION The pipeline for active DT calibration is shown in Fig. 1. Consider a set of N candidate spatial locations indexed by

L = {1, . . . , N }. At each location i ∈ L, the DT provides a predicted large-scale path-loss value di . The true path-loss ri at location i can only be obtained via a real radio measurement. The residual between the DT prediction and the true measurement at location i is given by ei = di − ri .

(1)

We calibrate the DT using a global offset correction model, where the calibrated DT prediction is d˜i = di − θ,

(2)

and θ is a scalar offset. The optimal (oracle) calibration offset is the mean residual over all locations, N N 1 X 1 X ei = (di − ri ). θ = N i=1 N i=1 ⋆

(3)

(j)

(4)

(j)

where θ̂k denotes the offset estimate produced by a given scheme in run j using k measurements. To account for randomness, each experiment is repeated over T randomized runs (e.g., different random seeds and randomized shifts in rank-based selection). Performance is summarized across runs using the mean and worst-case errors, ∆mean ≜ k ∆max ≜ k

T 1X

T j=1

∆k,j ,

max

j∈{1,...,T }

∆k,j .

RS draws it uniformly without replacement from L\Mt−1 . The offset estimate is the empirical mean 1 X ei . (6) θ̂tmean = t i∈Mt

Under uniform sampling without replacement, the empirical mean is unbiased for θ⋆ . For small t, variance may be large in heterogeneous environments. BRS and QRS use the same estimator but differ in selection. B. Balanced Rank Sampling (BRS) Let ρ(i) ∈ {0, . . . , N −1} denote the rank of di in ascending order. Target ranks are generated using a randomly shifted low-discrepancy sequence to ensure uniform coverage of the ordered DT space. Define the set of unmeasured ranks Rt−1 = {ρ(i) : i ∈ L \ Mt−1 }.

The oracle offset is used for evaluation and is not available to the online schemes. Due to practical constraints, only k ≤ N radio measurements are collected. Let Mk ⊂ L denote the set of k locations at which k measurements are performed. An estimator θ̂k of the calibration offset is computed using the residuals observed at these locations. Active DT calibration selects measurement locations such that θ̂k closely approximates θ⋆ using only k measurements. To quantify DT calibration fidelity, we define the absolute offset error after k measurements in Monte Carlo run j as ∆k,j ≜ θ̂k − θ⋆ ,

A. Random Sampling (RS)

(5)

which capture typical calibration accuracy and worst-case deviation from the oracle offset, respectively. IV. ACTIVE D IGITAL T WIN C ALIBRATION S CHEMES A real RF measurement from one location is collected at each step. Let Mt ⊂ L denote the set of locations measured after t steps, with |Mt | = t. At online step t ∈ {1, . . . , k}, the calibration offset estimate is denoted by θ̂t . A DT measurement selection scheme selects location it ∈ L \ Mt−1 , observes rit , forms eit = dit − rit , and updates an offset estimate θ̂t . All schemes are online: it depends only on {di }N i=1 and previously observed residuals {ei : i ∈ Mt−1 }. Selection and estimation are jointly designed per scheme.

(7)

At step t, BRS sets target rank rt = ⌊N ut ⌋, where ut ∈ [0, 1) is the t-th shifted low-discrepancy sample, and selects it = arg

min j∈L\Mt−1

|ρ(j) − rt |

(8)

as the nearest unmeasured rank. BRS uses rank reflection: ( (N − 1) − ρt , if (N − 1) − ρt ∈ Rt−1 , pair (9) ρt = ∅, otherwise, where ρt = ρ(it ) is the rank selected at step t. If feasible and budget permits, the paired location is also measured. Near budget exhaustion, structure is disabled and selection reverts to uniform sampling. BRS is structured but non-adaptive. C. Quasi-Monte-Carlo Ranked Sampling (QRS) With ρ(i) defined as above and rt = ⌊N ut ⌋, QRS selects it = arg

min j∈L\Mt−1

|ρ(j) − rt |,

(10)

to enforce systematic coverage of the ordered DT prediction range without explicit rank-reflection pairing. Uniform coverage arises naturally from the low-discrepancy sequence itself. As in RS and BRS, estimation uses θ̂tmean . QRS also reverts to uniform selection when few candidates remain. D. Progressive Structure-Aware Sampling (PSS) PSS exploits dispersion in DT predictions while ensuring tail stability. The index set is partitioned into B bins {Lb } via empirical quantiles, with Nb = |Lb | and πb = Nb /N . Within-bin dispersion is quantified by the interquartile range ∆b = Q0.75 ({di : i ∈ Lb }) − Q0.25 ({di : i ∈ Lb }),

(11)

where Qq (·) denotes the empirical q-quantile. A target allocation balancing coverage and dispersion is ab = (1 − η)πb + η P

Nb ∆b , ′ ′ b′ Nb ∆b

(12)

where η ∈ (0, 1). At each step, the bin with largest allocation deficit is selected. Within that bin, the next point maximizes

DT-space diversity relative to previously selected points in the same bin. When the remaining candidate set becomes small, PSS falls back to uniform random selection. For estimation, P PSS uses a shrinkage-stratified estimator. Let ē(t) = 1t i∈Mt ei be the global mean residual, and ēb (t) the within-bin mean with mb (t) measured points. Define   mb (t)ēb (t) + κ ē(t) , m (t) > 0, b mb (t) + κ (13) ẽb (t) =  ē(t), mb (t) = 0, where κ > 0 controls mean shrinkage. The stratified estimate θ̂tstrat =

B X

πb ẽb (t).

(14)

b=1

is formed from bin estimates. To prevent late-budget artifacts, θ̂tPSS = wt θ̂tstrat + (1 − wt ) θ̂tmean ,

(15)

where wt decreases toward zero as t approaches k. E. Adaptive Uncertainty-Aware Sampling (AUS) AUS combines residual-informed uncertainty allocation with estimator stabilization. Using the same bin partition, let mb (t) = |Mt ∩ Lb |. For mb (t) ≥ 2, the within-bin variance is estimated as X 2 1 ei − ēb (t) , (16) σ̂b2 (t) = mb (t) − 1 i∈Mt ∩Lb

else σ̂b2 (t) = 0. The global variance is σ̂g2 (t) =

2 1 X ei − θ̂tmean . t−1

(17)

i∈Mt

Variance shrinkage stabilizes bin-level estimates: mb (t) τ σb2 (t) = σ̂ 2 (t) + σ̂ 2 (t), mb (t) + τ b mb (t) + τ g with τ > 0. For p ∈ (0, 1] and ϵ > 0, bin scores are p/2 wb (t) = σb2 (t) + ϵ,

(18)

(19)

Then coverage and variance allocations are combined as Nb wb (t) , (20) ab (t) = (1 − αt )πb + αt P ′ ′ b′ Nb wb (t) with increasing αt . The next bin is chosen via  bt = arg max ab (t) t − mb (t − 1) . (21) b

Within bin bt , the selected index maximizes DT diversity, it = arg

max

min

j∈Lbt \Mt−1 i∈Mt−1 ∩Lbt

|dj − di |.

(22)

If no prior measurement exists in bt , the unmeasured point closest to the bin median is selected. The raw estimate equals θ̂tmean . To stabilize estimation under limited budgets, AUS applies Exponentially Weighted Moving Average (EWMA): AUS θ̂tAUS = (1 − λt )θ̂t−1 + λt θ̂tmean ,

(23)

where λt follows a capped-decay schedule (e.g., λt = min(λmax , c/t) with a positive late-stage floor). The estimator is initialized with θ̂1AUS = θ̂1mean .

F. Complexity In all schemes, computational cost is negligible relative to DT ray tracing and radio measurements. Computational (time) complexity is O(k) for RS. BRS and QRS require an initial sorting step of O(N log N ) to obtain ranks, after which selection is O(k). PSS and AUS additionally perform binbased allocation and within-bin diversity search; their per-step cost is O(B + Nb ), where B is the number of bins and Nb the bin size, leading to worst-case O(kN/B) online complexity. In the worst case where bins are highly unbalanced, the online complexity may approach O(kN ). V. P ERFORMANCE E VALUATION We collected RF path-loss measurements using USRP B210 radios with a transmit power of 10 dBm at 30 receiver locations (N = 30) and performed DT simulations at the same locations. Fig. 2 shows the DT scene generated from the measurement location coordinates. The carrier frequency was set to 1.2 GHz for both the DT and radio experiments. In the DT, the maximum ray interaction depth was set to 5, with 200,000 rays launched per source, and material assignments followed ITU-based models for buildings, ground, and trees. The numerical evaluation of DT calibration follows an offline Monte Carlo procedure that emulates online active calibration under strict measurement-budget constraints. A fixed set of N DT predictions {di } and corresponding groundtruth radio measurements {ri } is used to compute the true global offset defined in (3). For each calibration scheme and each measurement budget k ∈ {1, . . . , N }, the online selection and estimation procedure is executed sequentially for k steps, with residuals revealed only at selected locations. Each experiment is repeated over multiple randomized runs (different random seeds and randomized shifts in rank-based selection). Performance is measured using the mean and worstcase errors defined in (5) and shown in Figs. 3-4 as a function of the measurement budget k. The error generally decreases with k, although minor local fluctuations may occur because each newly measured pathloss residual ei = di − ri introduces discrete variability before the growing measurement set stabilizes the estimate. For very small k, RS exhibits large mean error and severe worst-case outliers, reflecting high-variance estimation. Rank-structured strategies reduce both metrics even with few measurements. BRS improves over RS by promoting balanced coverage of the DT prediction range through symmetric rank pairing in the ordered DT space, thereby reducing the probability of highly unrepresentative early selections. QRS further improves performance by enforcing more uniform global coverage of the ranked DT axis through low-discrepancy placement, yielding smaller mean and worst-case errors across most budgets. PSS provides additional gains by coupling DT-only dispersion-driven allocation with a progressive deficit rule and late-stage stabilization. This improves intermediate-regime robustness and mitigates late-budget artifacts, resulting in more reliable convergence than purely rank-coverage schemes. AUS achieves the fastest error decay for small k and the smallest

Random Sampling (RS) Balanced Rank Sampling (BRS) Quasi-Monte-Carlo Ranked Sampling (QRS) Progressive Structure-Aware Sampling (PSS) Adaptive Uncertainty-Aware Sampling (AUS)

Mean offset difference, Δmean k

4

3

2

1

0 0

5

10 15 20 Number of real measurements, k

25

30

Fig. 3: Mean absolute offset error in RF DT calibration. Random Sampling (RS) Balanced Rank Sampling (BRS) Quasi-Monte-Carlo Ranked Sampling (QRS) Progressive Structure-Aware Sampling (PSS) Adaptive Uncertainty-Aware Sampling (AUS)

Maximum offset difference, Δmax k

14 12 10 8 6 4 2 0 0

5

10 15 20 Number of real measurements, k

25

30

Fig. 4: Worst-case absolute offset error in RF DT calibration.

worst-case deviations by combining residual-informed adaptive allocation with EWMA stabilization, which accelerates learning while damping early noise. As k approaches N , all schemes converge to zero error but differ in convergence smoothness and reliability. Late-stage behavior is best controlled by PSS and AUS through stabilization mechanisms, whereas less structured approaches exhibit mild oscillations as the candidate set shrinks. At very small budgets (k ≤ 3), differences reflect sample representativeness. RS often selects extremes, causing large initial bias and heavytailed errors, whereas BRS and QRS impose rank-structured coverage that reduces worst-case error. In the intermediate regime, adaptivity and stabilization become decisive. QRS exhibits smooth decay due to deterministic coverage but does not exploit residual feedback. PSS improves upon pure coverage by incorporating DT-only dispersion with progressive allocation and tail control. AUS achieves the fastest reduction in mean and maximum error by leveraging residual-informed allocation with EWMA stabilization. Near budget exhaustion, tail effects dominate. Schemes enforcing rigid structure late in the process can exhibit minor oscillations as feasible locations diminish. PSS mitigates this via explicit late-stage fallback and fading of structure, while AUS maintains stable convergence through estimator smoothing. Although all schemes coincide at k = N , convergence reliability and monotonicity differ substantially, with PSS and

TABLE I: Average reduction in offset error relative to RS.

Metric Mean (%) Max (%)

BRS 11.22 20.00

QRS 19.21 42.64

PSS 26.15 62.29

AUS 72.05 91.04

AUS providing the most predictable behavior. Table I summarizes the average percentage reduction across all measurement budgets in the mean and worst-case offset errors relative to RS, as defined in (5). Overall, the results demonstrate effective DT calibration with integrated measurement selection under strict budgets. Combining DTaware structure, residual-informed adaptivity, and estimator stabilization yields improvements across regimes. VI. C ONCLUSION This paper studied active calibration of physics-based RF DTs under strict measurement-budget constraints. A sitespecific DT pipeline based on semantic geospatial data, 3D scene construction, and deterministic ray tracing was calibrated using limited real radio measurements. By casting calibration as an online learning problem, we examined measurement-selection strategies ranging from unstructured baselines to progressive structure-aware and fully adaptive, uncertainty-aware designs. Adaptive and structure-aware schemes achieved the fastest error decay and smallest worstcase deviations, particularly in the low-budget regime where measurement efficiency is critical. These results highlight the importance of active RF DT calibration for maximizing measurement efficiency and enabling reliable deployment of physics-based DTs under limited measurement budgets. R EFERENCES [1] L. U. Khan, Z. Han, W. Saad, E. Hossain, M. Guizani, and C. S. Hong, “Digital twin of wireless systems: Overview, taxonomy, challenges, and opportunities,” IEEE Communications Surveys & Tutorials, 2022. [2] M. Belgiovine, C. Dick, and K. Chowdhury, “Better together: Leveraging multiple digital twins for deployment optimization of airborne base stations,” IEEE Transactions on Mobile Computing, 2026. [3] P. Testolina, M. Polese, P. Johari, and T. Melodia, “Boston twin: the Boston digital twin for ray-tracing in 6G networks,” in ACM Multimedia Systems Conference (MMSys), 2024. [4] D. Lee, O. Ozdemir, A. Ram, and I. Guvenc, “Analysis and prediction of coverage and channel rank for UAV networks in rural scenarios with foliage,” IEEE Open Journal of Vehicular Technology, 2025. [5] A. G. Zahid, S. Ansari, and O. Onireti, “Real-time transmitter antenna optimization in complex 3D environments using digital shadows: A step towards EM digital twins,” in IEEE Military Communications Conference (MILCOM), 2025. [6] S. Amatare, G. Singh, A. Kharel, and D. Roy, “Real-time localization of objects using radio frequency propagation in digital twin,” in IEEE Military Communications Conference (MILCOM), 2024. [7] C. Ruah, H. Sifaou, O. Simeone, and B. M. Al-Hashimi, “How to bridge the sim-to-real gap in digital twin-aided telecommunication networks,” IEEE Communications Magazine, 2026. [8] C. Lai, D. Senic, C. Gentile, J. Senic, and N. Golmie, “Raytracing digital foliage at millimeter-wave: A case study on calibration against 60-GHz channel measurements on summer and winter trees,” IEEE Access, 2023. [9] C. Ruah, O. Simeone, J. Hoydis, and B. Al-Hashimi, “Calibrating wireless ray tracing for digital twinning using local phase error estimates,” IEEE Transactions on Machine Learning in Communications and Networking, 2024. [10] J. Hoydis, F. Aı̈t Aoudia, S. Cammerer, M. Nimier-David, N. Binder, G. Marcus, and A. Keller, “Sionna RT: Differentiable ray tracing for radio propagation modeling,” in IEEE Globecom Workshops, 2023.

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