Limited Sampling Spatial Interpolation Evaluation for 3D Radio Environment Mapping

The increasing densification and diversification of modern and upcoming wireless networks have become an important motivation for the development of agile spectrum sharing. Radio environment maps (REMs) are a basic tool for spectrum utilisation characterisation and adaptive resource allocation, but...

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Main Authors: Antoni Ivanov, Krasimir Tonchev, Vladimir Poulkov, Agata Manolova, Atanas Vlahov
Format: Article
Language:English
Published: MDPI AG 2023-11-01
Series:Sensors
Subjects:
Online Access:https://www.mdpi.com/1424-8220/23/22/9110
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author Antoni Ivanov
Krasimir Tonchev
Vladimir Poulkov
Agata Manolova
Atanas Vlahov
author_facet Antoni Ivanov
Krasimir Tonchev
Vladimir Poulkov
Agata Manolova
Atanas Vlahov
author_sort Antoni Ivanov
collection DOAJ
description The increasing densification and diversification of modern and upcoming wireless networks have become an important motivation for the development of agile spectrum sharing. Radio environment maps (REMs) are a basic tool for spectrum utilisation characterisation and adaptive resource allocation, but they need to be estimated through accurate interpolation methods. This work evaluated the performance of two established algorithms for spatial three-dimensional (3D) data collected in two real-world scenarios: indoors, through a mechanical measuring system, and outdoors, through an unmanned aerial vehicle (UAV) for measurement collection. The investigation was undertaken for the complete dataset on two-dimensional (2D) planes of different altitudes and for a subset of limited samples (representing the regions of interest or RoIs), which were combined together to describe the spatial 3D environment. A minimum error of −9.5 dB was achieved for a sampling ratio of 21%. The methods’ performance and the input data were analysed through the resulting Kriging error standard deviation (STD) and the STD of the distances between the measurement and the estimated points. Based on the results, several challenges for the interpolation performance and the analysis of the spatial RoIs are described. They facilitate the future development of 3D spectrum occupancy characterisation in indoor and UAV-based scenarios.
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spelling doaj.art-d1ba1b8238664e4791da832c33b4d8162023-11-24T15:05:22ZengMDPI AGSensors1424-82202023-11-012322911010.3390/s23229110Limited Sampling Spatial Interpolation Evaluation for 3D Radio Environment MappingAntoni Ivanov0Krasimir Tonchev1Vladimir Poulkov2Agata Manolova3Atanas Vlahov4Faculty of Telecommunications, Technical University of Sofia, 1000 Sofia, BulgariaFaculty of Telecommunications, Technical University of Sofia, 1000 Sofia, BulgariaFaculty of Telecommunications, Technical University of Sofia, 1000 Sofia, BulgariaFaculty of Telecommunications, Technical University of Sofia, 1000 Sofia, BulgariaIntelligent Communication Infrastructure Laboratory, Sofia Tech Park, 1784 Sofia, BulgariaThe increasing densification and diversification of modern and upcoming wireless networks have become an important motivation for the development of agile spectrum sharing. Radio environment maps (REMs) are a basic tool for spectrum utilisation characterisation and adaptive resource allocation, but they need to be estimated through accurate interpolation methods. This work evaluated the performance of two established algorithms for spatial three-dimensional (3D) data collected in two real-world scenarios: indoors, through a mechanical measuring system, and outdoors, through an unmanned aerial vehicle (UAV) for measurement collection. The investigation was undertaken for the complete dataset on two-dimensional (2D) planes of different altitudes and for a subset of limited samples (representing the regions of interest or RoIs), which were combined together to describe the spatial 3D environment. A minimum error of −9.5 dB was achieved for a sampling ratio of 21%. The methods’ performance and the input data were analysed through the resulting Kriging error standard deviation (STD) and the STD of the distances between the measurement and the estimated points. Based on the results, several challenges for the interpolation performance and the analysis of the spatial RoIs are described. They facilitate the future development of 3D spectrum occupancy characterisation in indoor and UAV-based scenarios.https://www.mdpi.com/1424-8220/23/22/9110interpolationKrigingradio environment mapsregion of interestvolumetric measurements
spellingShingle Antoni Ivanov
Krasimir Tonchev
Vladimir Poulkov
Agata Manolova
Atanas Vlahov
Limited Sampling Spatial Interpolation Evaluation for 3D Radio Environment Mapping
Sensors
interpolation
Kriging
radio environment maps
region of interest
volumetric measurements
title Limited Sampling Spatial Interpolation Evaluation for 3D Radio Environment Mapping
title_full Limited Sampling Spatial Interpolation Evaluation for 3D Radio Environment Mapping
title_fullStr Limited Sampling Spatial Interpolation Evaluation for 3D Radio Environment Mapping
title_full_unstemmed Limited Sampling Spatial Interpolation Evaluation for 3D Radio Environment Mapping
title_short Limited Sampling Spatial Interpolation Evaluation for 3D Radio Environment Mapping
title_sort limited sampling spatial interpolation evaluation for 3d radio environment mapping
topic interpolation
Kriging
radio environment maps
region of interest
volumetric measurements
url https://www.mdpi.com/1424-8220/23/22/9110
work_keys_str_mv AT antoniivanov limitedsamplingspatialinterpolationevaluationfor3dradioenvironmentmapping
AT krasimirtonchev limitedsamplingspatialinterpolationevaluationfor3dradioenvironmentmapping
AT vladimirpoulkov limitedsamplingspatialinterpolationevaluationfor3dradioenvironmentmapping
AT agatamanolova limitedsamplingspatialinterpolationevaluationfor3dradioenvironmentmapping
AT atanasvlahov limitedsamplingspatialinterpolationevaluationfor3dradioenvironmentmapping