English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

This paper presents a tractable analytical framework for the exactcalculation of probability of node isolation and minimum node degreedistribution when $N$ sensor nodes are independently and uniformly distributedinside a finite square region. The proposed framework can accurately accountfor the boundary effects by partitioning the square into subregions, based onthe transmission range and the node location. We show that for each subregion,the probability that a random node falls inside a disk centered at an arbitrarynode located in that subregion can be expressed analytically in closed-form.Using the results for the different subregions, we obtain the exact probabilityof node isolation and minimum node degree distribution that serves as an upperbound for the probability of $k$-connectivity. Our theoretical framework isvalidated by comparison with the simulation results and shows that the minimumnode degree distribution serves as a tight upper bound for the probability of$k$-connectivity. The proposed framework provides a very useful tool toaccurately account for the boundary effects in the design of finite wirelessnetworks.

A Tractable Framework for Exact Probability of Node Isolation and Minimum Node Degree Distribution in Finite Multi-hop Networks