A method of and device for automatic gain control (AGC) incorporates digitally controlled variable gain amplifiers (VGAs). An AGC circuit comprises multiple AGC stages, where each of the stages comprises: respective I and Q VGAs; a detector for detecting respective I and Q output signals received from the respective I and Q VGAs; an analogue to digital converter for converting the detected I and Q output signals; and a digital engine for adjusting the respective I and Q VGAs for differences between the detected I and Q output signals and a reference signal. Using staggered AGCs incorporating respective I and Q VGAs splits the total dynamic range between n stages, allowing for reduced gain requirements in the VGAs. Using digital control for setting the VGA gains reduces analogue variations and I/Q gain imbalances. Using multiple update rates or magnitudes in the VGA control improves dynamic settling time.