# Ad-hoc Networks: Fundamental Properties and Network by Ramin Hekmat

By Ramin Hekmat

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Extra info for Ad-hoc Networks: Fundamental Properties and Network Topologies

Example text

Due to the dependency of the link probability in this geometric random graph model on the pathloss radio propagation model, we call this model throughout this book the pathloss geometric random graph model. Let us assume that for correct reception of radio signals it is required that the received power at the receiver is more than a certain threshold value P. The coverage area of node i in a wireless ad-hoc network is the collection of all the points j in the 2-dimensional space where the received signal power from i is more than P.

There are several reasons for the unreliability of the data: 1. The position determination method used by us is inaccurate. For reliable measurements we need a position determination accuracy in the order of 1 meter or better. However due to budget restriction we were not able to achieve this goal. 12). 2. We have aggregated the data from all access points, without any correction for the height of the antenna at each access point. 3. The WLAN card and the software used to log the data were unable to measure beyond about -94 dBm power levels.

8 have been measured as well [61]. The constant c depends on the transmitted power, the receiver and the transmitter antenna gains and the wavelength [61]. The medium scale power variations are modeled with a lognormal distribution. In the lognormal radio model the mean received power taken over all possible locations that are at distance r to the transmitter is equal to the area mean power, similar to the pathloss model. However it is further assumed that the average received power varies from location to location in an apparently random manner [56].