Bandwidth Partitioning in Decentralized Wireless Networks

TL;DR

This paper investigates how to optimally partition bandwidth in decentralized wireless networks to maximize simultaneous links, balancing increased parallelism against higher SINR requirements, using stochastic geometry analysis.

Contribution

It derives the optimal number of frequency slots for spectrum partitioning based on system parameters, considering both power-limited and interference-limited regimes.

Findings

Optimal spectral efficiency is derived for low and high SNR regimes.

The optimal number of frequency bands N is expressed in terms of system parameters.

Tradeoff analysis guides spectrum partitioning for decentralized networks.

Abstract

This paper addresses the following question, which is of interest in the design of a multiuser decentralized network. Given a total system bandwidth of W Hz and a fixed data rate constraint of R bps for each transmission, how many frequency slots N of size W/N should the band be partitioned into in order to maximize the number of simultaneous links in the network? Dividing the available spectrum results in two competing effects. On the positive side, a larger N allows for more parallel, noninterfering communications to take place in the same area. On the negative side, a larger N increases the SINR requirement for each link because the same information rate must be achieved over less bandwidth. Exploring this tradeoff and determining the optimum value of N in terms of the system parameters is the focus of the paper. Using stochastic geometry, the optimal SINR threshold - which directly corresponds to the optimal spectral efficiency - is derived for both the low SNR (power-limited) and high SNR (interference-limited) regimes. This leads to the optimum choice of the number of frequency bands N in terms of the path loss exponent, power and noise spectral density, desired rate, and total bandwidth.