*This note is written based on [1].
Due to lack of any centralised control, the ad-hoc networks faces different problems at different layers. At the network layer, the main problem is routing. The choice of medium access scheme is also difficult in ad hoc networks, and random access appears to be the current favourite. At the physical layer, an important issue is that of power control. The transmission power should be high enough to reach the intended receiver while causing minimal interference to other nodes.
The direct connectivity between two nodes can be described in two models:
1. The Protocol Model
2. The Physical Model
The authors obtained the capacity based in these two models. In short, the capacity per node decreases as the number of nodes increases. Some implication of the results obtained.
1. The number of uses in a network should be small.
2. Nodes should only communicate with nearby nodes only.
3. A faster rate of decay of signal power with distance allows greater transport and throughput capacity.
4. Group nodes into clusters. Cluster heads are used as relay nodes.
5. Dividing the channels into sub-channels does not change any of the results.
6. To increase throughput, we can add in pure relays into the network (with extra cost).
7. To increase throughput, we can connect base stations by a wired network.
[1] P. Gupta and P. R. Kumar, "The Capacity of Wireless Networks,"
IEEE Transactions on Information Theory, vol. 46, pp. 388-404, 2000.