Method of minimizing undersirable RF emissions within a TDMA system

To minimize the amplitude and spectrum of side bands, beats and harmonics created by changing a transmitter power level between bursts in a GSM TDMA cellular radio communications system, the present invention does not comply with the GSM recommendations by avoiding ramping down to zero power level between time slots. Rather, the transmitter power is ramped between the power value of a previous burst and that of a subsequent burst. In this way, the magnitude or slope of the ramp is minimized and the full time between bursts is available to make power adjustments. A number of embodiments are disclosed.