Optimum Transmission Ranges in a Direct-Sequence Spread-Spectrum Multihop Packet Radio Network

ln this paper, we obtain the optimum transmission ranges to maximize throughput for a direct-sequence spread-spectrum multihop packet radio network. In the analysis, we model the network selfinterference as a random variahle which is equal to the sum of the interference power of all other terminals plus hackground noise. The model is applicable to other spread spectrum schemes where the interference of one user appears as a noise source with constant power spectral density to the other users. The network terminals are modeled as a random Poisson field of interference power emitters. The statistics of the interference power at a receiving terminal are obtained and show to be the stable distributions of a parameter that is dependent on the propagation power loss law. The optimum transmission range in such a network is of the form C K “ where Cis a constant, K is a function of the processing gain, the background noise power spectral density, and the degree of error-correction coding used, and (Y is related to the power loss law. The results obtained can he used in heuristics to determine optimum routing strategies in multihop networks.