  In this paper, we study how to determine concurrent transmissions and the
transmission power level of each link to maximize spectrum efficiency and
minimize energy consumption in a wireless ad hoc network. The optimal joint
transmission packet scheduling and power control strategy are determined when
the node density goes to infinity and the network area is unbounded. Based on
the asymptotic analysis, we determine the fundamental capacity limits of a
wireless network, subject to an energy consumption constraint. We propose a
scheduling and transmission power control mechanism to approach the optimal
solution to maximize spectrum and energy efficiencies in a practical network.
The distributed implementation of the proposed scheduling and transmission
power control scheme is presented based on our MAC framework proposed in [1].
Simulation results demonstrate that the proposed scheme achieves 40% higher
throughput than existing schemes. Also, the energy consumption using the
proposed scheme is about 20% of the energy consumed using existing power saving
MAC protocols.
