Efficiency estimation of using MIMO technology in multi-hop networks

Newton's method is the slowest and Golden section method is the fastest one.For each value of end-to-end communication rate, minimal energy consumption could be achieved with optimal parameters. In case of increasing the total distance, energy consumption would grow. For equal number of receiving and transmitting antennas on each hop, increasing the number of antennas results in increasing end-to-end rate with a fixed energy consumption. With a fixed effective rate, increasing the number of antennas leads to increasing energy consumption in the low effective rate region and decreasing energy consumption in the high effective rate region. If end-to-end distance would stay the same but distances between hops would differ, changes in energy consumption could be minor or quit significant. Total energy consumption in case of equally-spaced hops is lower than for non-equally spaced hops in low effective rate region and higher in high effective rate region.