Optimization of an Adaptive Frequency-Hopping Network

This paper proposes a methodology for optimizing a frequency-hopping network that uses continuous-phase frequency-shift keying and adaptive capacity-approaching channel coding. The optimization takes into account the spatial distribution of the interfering mobiles, Nakagami fading, and lognormal shadowing. It includes the effects of both co-channel interference and adjacent-channel interference, which arises due to spectral-splatter effects. The average network performance depends on the choice of the modulation index, the number of frequency-hopping channels, and the fractional in-band power, which are assumed to be fixed network parameters. The performance of a given transmission depends on the code rate, which is adapted in response to the expected interference to meet a constraint on outage probability. The optimization proceeds by choosing a set of fixed network parameters, drawing the interferers from the spatial distribution, and determining the maximum rate that satisfies the outage constraint. The process is repeated for a large number of network realizations, and the fixed network parameters that maximize the area spectral efficiency are identified.