Abstract
A multi-hop network transmits the data packets through some relay nodes. In the case of equidistant transmission, it can achieve lower transmission power than a single-hop network. On the other hand, the relay nodes also have their own power consumption that does not contribute to transmission. Therefore, the total power consumption, which are the transmission power of the relay nodes and their own power consumption, can be more than that of the direct communications in the case of numbers of relay nodes and values of power consumption. In this paper, we derive theoretical expression of total power consumption with ARQ (auto repeat request) for packetized transmitted data for linear topology multi-hop networks under path loss and shadowing environments. Moreover, we consider the maximum hops which is better than direct communications in total power consumptions and the optimum hops which minimizes them and evaluate their performance using numerical calculation.
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