A new analysis of the DS-CDMA cellular downlink under spatial constraints

The direct-sequence code-division multiple access (DS-CDMA) cellular downlink is modeled by a constrained random spatial model involving a fixed number of base stations placed over a finite area with a minimum separation. The analysis is driven by a new closed-form expression for the conditional outage probability at each mobile, where the conditioning is with respect to the network realization. The analysis features a flexible channel model, accounting for path loss, Nakagami fading, and shadowing. By generating many random networks and applying a given resource allocation policy, the distribution of the rates provided to each user is obtained. In addition to determining the average rate, the analysis can determine the transmission capacity of the network and can characterize fairness in terms of the fraction of users that achieve a specified rate. The analysis is used to compare a rate-control policy against a power-control policy and investigate the influence of the minimum base-station separation.