Tone Injection (TI) can reduce the high peak-to-average ratio (PAR) which can substantially limit the performance of multicarrier systems without bandwidth loss. However, TI results in peak regrowth since it does not consider second peaks which can be higher than the peak after performing TI and also the average transmit power is increased because of huge constellation. In this paper, a no-rate loss PAR reduction technique, Injected Tone Constellation (ITC), is proposed along with an iterative algorithm to achieve the performance increase and to minimize the average transmit power without high complexity.

The joint power allocation (PA) issue is studied in multi-user three-cell systems under the degree-of-freedom (DoF) based transmission protocol. This protocol makes all the interferences received at each user orthogonal to the useful signal at the same user by Jafar's topological interference management through index coding, which is proved to offer full DoF. Under this protocol, we formulate the joint power allocations problem based on the objective of energy efficiency under the required quality-of-service constraint. Due to the highly complicated Lagrangian equation, the properties of Lambert function are widely exploited to solve the problem using a closed-form expression. It is discovered that the relationship among the optimal power coefficients are completely different from that of the well-known water-filling method. Simulations demonstrate the energy efficiency of the designed scheme.