temporal behavior analysis of mobile ad hoc network with different mobility patterns
Ad hoc network consists of a set of identical nodes that move freely and independently and communicate among themselves via wireless links. The most interesting feature of this network is that they do not require any existing infrastructure of central administration and hence it is very suitable for temporary communication links in an emergency situation. This flexibility however is achieved at a price of communication hazard induced due to frequent topology changes. In this article we have tried to identify the system dynamics using the proven concepts of time series modeling. Here we have analyzed variation of the number of neighbor nodes of a particular node over a fixed area and for a fixed number of nodes (i) for different values of speed of nodes, (ii) the transmission power, (iii) for different sampling period (iv) for different mobility patterns. We have considered three different mobility models - (i) Gaussian mobility model, (ii) Random walk mobility model and (iii) Random Way Point mobility model. The number of neighbor nodes of a particular node behaves as a random variable for any mobility pattern. Through our analysis we found that this variation can be well modeled by an autoregressive AR(p) model. The values of p are evaluated for different scenario and we found that the value is in the range of 1 to 5. Moreover we also investigated the relationship between the speed and the time of measurement, and transmission range of a specific node under various mobility patterns.
ad hoc network mobility modeling autoregressive modeling time series analysis