Impact of Model Uncertainties on the Accuracy of Spatial Interpolation Based Coverage Estimation

Improved propagation prediction has become important due to emerging 5G and ultra-dense wireless networks. One important aspect in this domain is to understand and model better the spatial correlations of the underlying shadowing fields. In this work, we investigate the sources of uncertainty on the predictions made by employing the optimal linear predictor, namely \emph{kriging}. We show that kriging is robust to the estimation errors of the spatial correlation structure. Moreover, we show that the amount of the training data (known data points) has great impact on the prediction error. Our results help to quantify the trade off between number of data points collected and accuracy that can be reached by interpolation. The results especially help to design and optimize expensive measurement and test drive campaigns. Another contribution of the paper is to explicitly show the capabilities of kriging for coverage prediction.

[1]  Janne Riihijärvi,et al.  A measurement-based study on the use of spatial interpolation for propagation estimation , 2015, 2015 IEEE International Conference on Communications (ICC).

[2]  Theodore S. Rappaport,et al.  Wireless Communications: Principles and Practice (2nd Edition) by , 2012 .

[3]  Janne Riihijärvi,et al.  Measurements of Shadow Correlations in a Suburban Environment on the 485 MHz Band , 2013, 2013 IEEE 78th Vehicular Technology Conference (VTC Fall).

[4]  Dirk Grunwald,et al.  Practical radio environment mapping with geostatistics , 2012, 2012 IEEE International Symposium on Dynamic Spectrum Access Networks.

[5]  B. Sayrac,et al.  Interference Cartography for Hierarchical Dynamic Spectrum Access , 2008, 2008 3rd IEEE Symposium on New Frontiers in Dynamic Spectrum Access Networks.

[6]  Robert Haining,et al.  Statistics for spatial data: by Noel Cressie, 1991, John Wiley & Sons, New York, 900 p., ISBN 0-471-84336-9, US $89.95 , 1993 .

[7]  Berna Sayraç,et al.  Coverage mapping using spatial interpolation with field measurements , 2014, 2014 IEEE 25th Annual International Symposium on Personal, Indoor, and Mobile Radio Communication (PIMRC).

[8]  Janne Riihijärvi,et al.  Spatial statistics and models of spectrum use , 2009, Comput. Commun..

[9]  Janne Riihijärvi,et al.  Characterization and modelling of spectrum for dynamic spectrum access with spatial statistics and random fields , 2008, 2008 IEEE 19th International Symposium on Personal, Indoor and Mobile Radio Communications.