The traffic carrying capacity of wireless networks
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How much traffic can wireless networks carry? Consider n nodes located in a disk of area A sq. meters, each capable of transmitting at a data rate of W bits/sec. Under a protocol based model for successful receptions, the total network can carry only (W An) bit-meters/sec, where 1 bit carried a distance of 1 meter is counted as 1 bit-meter. This is the best possible even assuming the nodes locations, traffic patterns, and the range/power of each transmission, are all optimally chosen. If the node locations and their destinations are randomly chosen, and all transmissions employ the same power/range, then each node only obtains a throughout of (W/n log n) bit/sec, if the network is optimally operated. Similar results hold for a physical SIR based model.
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2000 IEEE International Symposium on Information Theory (Cat. No.00CH37060)