Abstract
Power amplifiers for wireless transmission provide a limited radiated power, and their efficiency depends highly on the operating point. We show that power control and routing strategies in multi-hop wireless networks are strongly affected by these non-ideal amplifier characteristics. For the analysis, we prove that the distances in random networks are governed by a generalized Rayleigh distribution, and we determine the power efficiency of different routing schemes. The main result is that nearest-neighbor routing is highly inefficient if the network has to be connected with high probability.
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