A method for improving transmission power management with compliance to regulations of radiofrequency exposure, which may comprise: at a current time, estimating whether a window average power, which may reflect average power transmitted using a radio technology during a moving time window, will exceed a power limit after the current time; if true, proceeding to at least one of a first handling subroutine and a second handling subroutine to set a power cap, and causing power transmitted to be capped by the power cap after the current time. The first handling subroutine may comprise: scheduling to set the power cap lower at a scheduled time. Estimating whether the window average power will exceed the power limit may involve discarding one of a plurality of power records. The second handling subroutine may comprise: setting the power cap not higher than the discarded one of the plurality of power records.