Geometric Path Loss Distributions in Wireless Random Networks: Theory and Applications

Published: 2024, Last Modified: 13 Oct 2025IEEE Trans. Inf. Theory 2024EveryoneRevisionsBibTeXCC BY-SA 4.0
Abstract: Geometric path-loss (GPL) in the radio propagation channel dominantly decides the signal strength and hence yields a significant and multi-faceted influence on wireless communications and networking. In this paper, the GPL is reported to be (truncated) Pareto distributed in wireless random networks, which applies to both of the two considered cases: locally random network (LRN) and homogeneous random network (HRN). Note that most literature assume (infinite) HRNs for scenarios of the fourth or earlier generation wireless communication where most base stations (BSs) have the omni-directional coverage. This might easily be violated when there exist node clusters and, more importantly, for 5G or beyond scenarios with mmWave or THz communication that are more narrow directional on the beamforming and hence coverage. However, the node clusters can reasonably be modelled by the LRNs, thus solving the above issue. To cope with that, the LRN is considered to be more generic and hence easily reduces to the HRN. Two applications on the path-loss exponent (PLE) self-estimation and the expected interference are also presented to demonstrate the significance of this contribution. The findings in this paper might cast light upon the future of random network analysis and designing new kinds of techniques.
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