This paper is concerned with the performance analysis of frequency-hopped packet radio networks with random spatial distribution of users. Depending on their relative energies, hits may either cause errors, erasures, or be ineffective. Combined error and erasure Reed Solomon decoding is used. Two types of hopping patterns are considered, namely random and one-coincidence patterns. Using a novel technique of the joint probability generating functions of the so called effective interference vectors, general closed form expressions for packet capture probabilities are derived. Numerical results indicate that, depending on the coding rate and traffic levels, larger values of the throughput can be achieved by using either error only or erasure only decoding.
