Abstract

This paper models and analyzes downlink and uplink power assignment 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. Our results allow for a fast evaluation of outage and blocking probabilities. The result also enables a quick evaluation of feasibility that may be used for capacity allocation. Our combined downlink and uplink feasibility model is applied to determine maximal system throughput in terms of downlink rates.

Keywords: CDMA; Capacity allocation; Feasibility power assignment; Discretized cells model; Perron–Frobenius eigenvalue

Article Outline

1. Introduction

2. Model

2.1. Persistent calls

2.1.1. Downlink model

2.1.2. Uplink model

2.2. Non-persistent and moving calls

3. Performance analysis

3.1. Persistent calls: feasibility

3.1.1. Downlink feasibility

3.1.2. Uplink feasibility

3.2. Non-persistent calls: outage and blocking probabilities

4. Downlink rate optimization

4.1. Uplink and downlink feasibility

4.2. Border optimization

5. Numerical results

5.1. Downlink performance

5.2. Location of the hot spot: traffic types

5.2.1. First case: fixed border, moving traffic

5.2.2. Second case: moving border, non-moving traffic

5.3. Border optimization

5.3.1. Persistent calls

5.3.2. Non-persistent calls

6. Conclusion

Acknowledgements

References

Vitae