Characterizing Cdma Downlink Feasibility via Effective Interference Characterizing Cdma Downlink Feasibility via Effective Interference * †

This paper models and analyses downlink power assignment feasibility in Code Division Multiple Access (CDMA) mobile networks. By discretizing the area into small segments, the power requirements are characterized via a matrix representation that separates user and system characteristics. We obtain a closed-form analytical expression of the so-called Perron-Frobenius eigenvalue of that matrix, which provides a quick assessment of the feasibility of the power assignment for each distribution of calls over the segments. Although the obtained relation is non-linear, it basically provides an effective interference characterisation of downlink feasibility. Our results allow for a fast evaluation of outage and blocking probabilities, and enable a quick evaluation of feasibility that may be used for Call Acceptance Control. Keyword: CDMA, downlink, discretized cells, Perron-Frobenius eigenvalue, feasible power, outage, blocking. AMS Subject Classification: Primary: 90B18, 90B22; Secondary: 60K25