Abstract
In this work we study a Poisson patterns of fixed and mobile nodes distributed on straight lines designed for 2D urban wireless networks. The particularity of the model is that, in addition to capturing the irregularity and variability of the network topology, it exploits self-similarity, a characteristic of urban wireless networks. The pattern obeys to “Hyperfractal” measures which show scaling properties corresponding to an apparent dimension larger than 2. The hyperfractal pattern is best suitable for capturing the traffic over the streets and highways in a city. The scaling effect depends on the hyperfractal dimensions. Assuming radio propagation limited to streets, we prove results on the scaling of routing metrics and connectivity graph.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Blaszczyszyn, B., Muhlethaler, P.: Random linear multihop relaying in a general field of interferers using spatial aloha. IEEE TWC, July 2015
Herculea, D., Chen, C.S., Haddad, M., Capdevielle, V.: Straight: stochastic geometry and user history based mobility estimation. In: HotPOST (2016)
Jacquet, P.: Capacity of simple multiple-input-single-output wireless networks over uniform or fractal maps. In: MASCOTS, August 2013
Jacquet, P.: Optimized outage capacity in random wireless networks in uniform and fractal maps. In: ISIT, pp. 166–170, June 2015
Jacquet, P., Popescu, D.: Self-similarity in urban wireless networks: hyperfractals. In: Workshop on Spatial Stochastic Models for Wireless Networks (SpaSWiN)
Karabacak, M., et al.: Mobility performance of macrocell-assisted small cells in manhattan model. In: VTC, May 2014
Author information
Authors and Affiliations
Corresponding authors
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2017 Springer International Publishing AG
About this paper
Cite this paper
Jacquet, P., Popescu, D. (2017). Self-similar Geometry for Ad-Hoc Wireless Networks: Hyperfractals . In: Nielsen, F., Barbaresco, F. (eds) Geometric Science of Information. GSI 2017. Lecture Notes in Computer Science(), vol 10589. Springer, Cham. https://doi.org/10.1007/978-3-319-68445-1_96
Download citation
DOI: https://doi.org/10.1007/978-3-319-68445-1_96
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-68444-4
Online ISBN: 978-3-319-68445-1
eBook Packages: Computer ScienceComputer Science (R0)