Determination of Optimum Transmission Ranges in a Multi-Hop Spread Spectrum Network

In this paper we obtain the optimum transmission ranges to maximize throughput for a multi-hop spread spectrum network. In the analysis we model the network self-interference as a random variable which is equal to the sum of the interference power of all other terminals. For a spread spectrum network with an effective capacity equal to K simultaneous transmissions and an inverse fourth power propagation law we found that a terminal should transmit with a range so that on the average there are approximately 1.3√K terminals closer to the transmitter than the receiver. We found that for the inverse fourth power propagation law, the probability density of the interference power at a given terminal is the inverse Gaussian probability density. More generally, if the propagation law is an inverse γ
^th
power (γ > 2), then the probability law of the interference power is the stable law of exponent 2/γ.