A radio communication system has means for improving power control of a
communication channel for the transmission of data after an interruption
in the transmission. This is done by adjusting the transmission power
immediately after the interruption by an offset from the power used before
the interruption. The offset may be fixed or may be determined from the
transmission power in the period before the interruption. This technique
reduces, on average, the time taken for power control to be
re-established, thereby addressing the problem that data transmissions
immediately after the interruption are likely to be corrupted if the power
level is too low, or to generate extra interference if the power level is
too high.