Optimization of a Finite Frequency-Hopping Ad Hoc Network in Nakagami Fading

TL;DR

This paper analyzes and optimizes a finite frequency-hopping ad hoc network with Nakagami fading, focusing on maximizing transmission capacity through joint parameter optimization.

Contribution

It introduces a method to optimize frequency-hopping parameters for finite networks under Nakagami fading using a closed-form outage probability expression.

Findings

Optimal parameters depend on channel and mobile density.

Closed-form outage probability expression derived for Nakagami fading.

Numerical methods used for shadowing scenarios.

Abstract

This paper considers the analysis and optimization of a frequency-hopping ad hoc network with a finite number of mobiles and finite spatial extent. The mobiles communicate using coded continuous-phase frequency-shift keying (CPFSK) modulation. The performance of the system is a function of the number of hopping channels, the rate of the error-correction code, and the modulation index used by the CPFSK modulation. For a given channel model and density of mobiles, these parameters are jointly optimized by maximizing the (modulation-constrained) transmission capacity, which is a measure of the spatial spectral efficiency of the system. The transmission capacity of the finite network is found by using a recent expression for the spatially averaged outage probability in the presence of Nakagami fading, which is found in closed form in the absence of shadowing and can be solved using numerical integration in the presence of shadowing.