Study of distributed resource allocation in cellular systems

Dynamic channel allocation in cellular networks have become very popular due to the flexibility obtained by using any of the available channels in any cell as long as the interference level is below a given threshold. Distributed resource allocation is popular in modern day cellular systems due to the increase in micro-cells and picocells. In our problem we study cellular networks, under distributed dynamic channel allocation and propose a two dimensional Markov chain model to analyze the performance of the system in terms of blocking probabilities. In our analysis, we consider all the mobiles and base stations to be perfectly power controlled, i.e. each mobile (base station) transmits on any channel, such that the signal strength received at its corresponding base station (mobile) is unity irrespective of the actual position of the mobile in the cell. We perform this analysis for a linear highway system and a two dimensional cellular system modelling the shape of the cells to be perfect circles. We look at low mobility systems in our problem. In practice, Digital European Cordless Telephony (DECT) is a standard to which our analysis is applicable. Our analysis is also applicable for a GSM like system along a busy street and with low mobility.