Distribution of Link Distances in a Wireless Network

Area of Science:

• Wireless communication networks
• Probability theory
• Mobile computing

Background:

• Understanding mobile radio placement is crucial for wireless network performance.
• Previous studies often assumed specific distributions, limiting generalizability.

Purpose of the Study:

• To determine the probability distribution of link distances between mobile radios.
• To compare distributions under different mobile location scenarios.
• To assess the impact of distribution choice on network analysis.

Main Methods:

• Derivation of probability distributions for link distances.
• Analysis of two deployment scenarios: uniform rectangular and Gaussian coordinate distributions.
• Comparison of distribution shapes based on key parameters.

Main Results:

• The link distance distribution shapes are highly similar for both uniform and Gaussian mobile location distributions.
• A specific relationship (width ≈ 3 * standard deviation) unifies the distributions.
• The choice of distribution model is not critical for many analyses.

Conclusions:

• Mobile location distribution choice has minimal impact on link distance probability.
• Network simulations and analyses can utilize convenient distribution models.
• This simplifies the modeling and optimization of wireless systems.