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Dynamic user in mobile communication encourages the implementation of self-organized and noncooperative distributed power control. To be implemented, the power control must meet the feasible and convergent conditions. Feasibility of power control must be qualified for non-negative power vectors and the limit of maximum power, whereas convergence is tested by the speed for achieving of convergent conditions on fixed point. If it is feasible, then the system will be convergent, but when it is infeasible then the power transmit of user will be negative and the system is never reach the convergence. While the semi feasible condition requires the implementation of a proposed method of HDCPC. When power transmit of user exceeded the maximum power, Pmax, HDCPC method choose the transmit power that equal with 1⁄2 Pmax compared to use Pmax that required on DCPC or to force the user turned off the power transmit on GDCPC. Results showed that it would be more efficient in power usage than DCPC and more implementable than GDCPC. Proposed HDCPC is done when there is no option of handover channel, while the results after user move to another channel is able to achieve the SINR target and spent less power. Related to the convergence analysis, it can be concluded that the larger the SINR target, the longer iterations required to achieve a convergent condition.

Autonomous Distributed Power Control in Multi-Channel Cognitive Femtocell Network: Feasibility and Convergence