From 34e786625a44422c4db24dcd2f28ce3f9ed447cf Mon Sep 17 00:00:00 2001 From: Gabriel Ferreira Date: Thu, 17 Jul 2025 16:06:11 +0200 Subject: [PATCH] doc: Document wraparound models --- doc/models/Makefile | 3 + .../hexagonal-wraparound-cdf-comparison.png | Bin 0 -> 55060 bytes ...al-wraparound-execution-and-median-thr.png | Bin 0 -> 65155 bytes .../doc/hexagonal-wraparound-topology.png | Bin 0 -> 283647 bytes src/spectrum/doc/spectrum.rst | 138 ++++++++++++++++++ 5 files changed, 141 insertions(+) create mode 100644 src/spectrum/doc/hexagonal-wraparound-cdf-comparison.png create mode 100644 src/spectrum/doc/hexagonal-wraparound-execution-and-median-thr.png create mode 100644 src/spectrum/doc/hexagonal-wraparound-topology.png diff --git a/doc/models/Makefile b/doc/models/Makefile index a83cb0cb9..5ec32ed76 100644 --- a/doc/models/Makefile +++ b/doc/models/Makefile @@ -351,6 +351,9 @@ SOURCEFIGS = \ $(SRC)/spectrum/doc/two-ray-spectrum-loss-model-3gpp-radiation-pattern.png \ 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They both provide this functionality: + * If a wraparound model is aggregated to the channel, automatically apply it + to transmitting nodes. + * Propagation loss modeling, in three forms: - you can plug models based on ``PropagationLossModel`` on these @@ -1139,3 +1145,135 @@ References 100 GHz. V.15.0.0. (2018-06). .. [3GPPTR38811] 3GPP. 2018. TR 38.811, Study on New Radio (NR) to support non-terrestrial networks, V15.4.0. (2020-09). + + +Wraparound Models +================= +The wrap around mechanism is a simulation technique used in cellular network modeling to eliminate +edge effects and create a more realistic interference environment. The most common setup used by 3GPP +is the hexagonal deployment wraparound, which transforms a finite hexagonal cellular cluster into what +appears to be an infinite network by creating virtual copies of the cluster around the original one. + +This also can significantly reduce memory and computational requirements of simulations to achieve similar +results in respect to interference, avoiding the simulation of additional rings and then filtering only +central rings with equivalent interference. + +WraparoundModel Implementation +############################## +When a wraparound model is aggregated to the ``SingleModelSpectrumChannel`` or ``MultiModelSpectrumChannel``, +the base class ``WraparoundModel`` creates a virtual ``MobilityModel`` for the transmitter, in respect to each +receiver. + +The virtual ``MobilityModel`` is carried via the ``SpectrumSignalParameters`` to the receiver, which +must use that model to retrieve the transmitter position, ``NodeId`` and buildings related information during ``StartRx``. + +The base ``WraparoundModel`` only reuses the existing transmitter mobility model, while its children classes may +implement different wraparound techniques. + +HexagonalWraparoundModel Implementation +######################################## + +``HexagonalWraparoundModel`` implements wraparound for the standard cellular network setups using hexagonal clusters, +and is based on [Panwar]_. Without wraparound, only the central cells experience symmetric interference from all +directions. Edge cells receive unrealistic interference patterns because they lack neighboring cells on certain sides, +making their performance data statistically invalid for real-world analysis. The wrap around mechanism addresses +this "edge effect" problem by ensuring all cells in the simulation experience equivalent interference conditions. +For this reason, wraparound is mandatory for 5G NR calibration of selected scenarios, as defined in [TR38901]_. + +.. figure:: figures/hexagonal-wraparound-cdf-comparison.png + :align: center + :width: 600 + + Ring 1 setup with 7 tri-sector cell clusters, with (orange) and without wraparound (blue), + plus ring 3 setup with 19 tri-sector cell clusters without wraparound (green). + +Interference with ring 1 and wraparound (orange) is higher than even ring 3 (green). This, in spite +of only simulating 7 tri-cell clusters of ring 1 versus the 19 clusters of ring 3. The interference of +both ring 1 with wraparound and ring 3 have much much higher than ring 1 without wraparound (blue). +As a result, throughput without wraparound is unrealistically high (indicated by lower curves +shifted to the right). This is confirmed in the following right figure. + +.. figure:: figures/hexagonal-wraparound-execution-and-median-thr.png + :align: center + :width: 800 + + Left: Execution times of ring 1 setup with and without wraparound, + plus ring 3 setup without wraparound in an AMD Ryzen Threadripper PRO 7965WX. + Right: Median throughput of the different configurations. + +Since the computational cost of wireless simulations scales quadratically with the number of nodes in the channel, +we significantly reduce computational costs by cutting the number of simulated clusters. For this particular +5G-NR outdoor calibration example with different number of rings and wraparound, the speedup of ring 1 with +wraparound against ring 3 without wraparound is of 6x, for comparable results. + +Note: ring 3 simulations without wraparound require the user to manually filtering results to only cells and UEs +that are part of the ring 1 cell clusters. This is because they suffer first and second tier interference. +The remaining results for 12 out of 19 cells, and their respective UEs, would be discarded. + +The wrap around mechanism operates by creating six additional virtual copies of the original hexagonal cluster, +positioned symmetrically around the central cluster. It usually follows these steps: + +* Virtual Cluster Creation: Six copies of the original cluster are mathematically placed around the central cluster to simulate an infinite grid +* Distance Calculation: For each signal transmission, the system calculates seven different distances - one to the actual transmitter and six to the virtual transmitter positions +* Minimum Distance Selection: The shortest distance is used for path loss and signal strength calculations, ensuring realistic propagation effects +* UE Mobility Handling: When a user device moves to connect with a virtual cell, it's automatically repositioned within the central cluster while maintaining the same relative position to its serving cell (moving UE to central cluster is not currently implemented) + + +.. figure:: figures/hexagonal-wraparound-topology.png + :align: center + :width: 400 + + Virtual cell clusters (white and green) around real cell cluster (red). Virtual distances are shown as dashed arrows. + The virtual transmitter position that results in the smallest distance to receiver is used + in the virtual mobility model. [`Panwar`_] + +The technique is implemented using geometric distance calculations with specific equations for different cluster sizes: +- ring 3: 19-site clusters: Standard configuration with 2-tier interference (57 cells for tri-sector antennas) +- ring 1: 7-site clusters: Smaller configuration with 1-tier interference (21 cells for tri-sector antennas) +- ring 0: 3-site clusters: Minimal configuration for quick testing (9 cells for tri-sector antennas) + +Before start transmitting, each site position needs to be registered to the ``HexagonalWraparoundModel`` via +``AddSitePosition(Vector3D position)``. The number of sites should also be set via ``SetNumSites(uint8_t sites)``. +Finally, the inter-site distance (ISD) must be set via ``SetSiteDistance(double isd_in_meters)``. + +This can be automatically done by hexagonal deployment helpers of LTE and NR, by setting the ``EnableWraparound`` +attribute to true. After setting up the hexagonal deployment, the user should call ``GetWraparoundModel`` method +of the hexagonal deployment helper, and then aggregate that model to the spectrum channel model. + +Caveats and Limitations +####################### + +This implementation does not simply model edge interference in a localized or realistic way. +Instead, because all signals are routed through higher-layer protocols, the effect resembles +a "wormhole" model where transmissions can unrealistically appear at distant points in the topology. +The transmitter itself stays fixed, but its signals may propagate as if emerging from arbitrary locations, +depending on geometry and inter-site distances. + +A side-effect is that mobility and handover do not strictly reflect physical adjacency. +Simulations may misleadingly suggest a larger or denser deployment, allowing handover not +just to neighboring cells but also to virtually adjacent ones (including cells that are physically +on opposite sides of the layout). Plots can therefore be confusing: devices that look widely separated +in absolute position might be treated as if they were close in virtual space. + +The use of virtual mobility inside the spectrum channel models further complicates interpretation. +Transmitters are treated as if they relocate, and any additional attenuation (such as building +shadowing modeled through ns-3 propagation loss and buildings modules) is applied even though +the device itself never actually moved. The buildings themselves are not virtualized, +but buildings deployed into the non-virtualized topology still affect virtual transmissions. + +[Panwar]_ discusses the use of wraparound for mobility models also, such that a +node that left the physical site boundaries would wormhole around and reappear +within the site at the mirror location. This means replacing the physical position +with the virtual position when going out of physical cell areas, so the node stays +within the physical topology throughout the simulation. This is not currently implemented. +As such, nodes may appear outside of physical cells, but still are considered as transmitting +from within the virtual cells. + +References +########## + +.. [Panwar] R. S. Panwar and K. M. Sivalingam, "Implementation of wrap + around mechanism for system level simulation of LTE cellular + networks in NS3," 2017 IEEE 18th International Symposium on + A World of Wireless, Mobile and Multimedia Networks (WoWMoM), + Macau, 2017, pp. 1-9, doi: 10.1109/WoWMoM.2017.7974289