ANALYSIS OF FREQUENCY-HOPPED PACKET RADIO NETWORKS WITH RANDOM SIGNALLEVELS .1. ERROR-ONLY DECODING

This paper is concerned with the performance analysis of frequency-hop ped packet radio networks with random signal levels. We assume that a hit from an interfering packet necessitates a symbol error if and only if it brings on enough energy that exceeds the energy received from t he wanted signal. The interdependence between symbol errors of an arbi trary packet is taken into consideration through the joint probability generating function of the so-called effective multiple access interf erence. Slotted networks, with both random and deterministic hopping p atterns, are considered in the case of both synchronous and asynchrono us hopping. A general closed-form expression is given for packet captu re probability, in the case of Reed-Solomon error only decoding. After introducing a general description method, the following examples are worked out in details: (i) networks with random spatial distribution o f stations (a model for mobile packet radio networks), (ii) networks o perating in slow fading channels, (iii) networks with different power levels which are chosen randomly according to either discrete or conti nuous probability distribution (created captures).