A wireless communications receiver includes a memory configured to store offset values corresponding to respective gain settings. A gain controller is configured to continuously select one of the gain settings based on amplitude of a received signal. An amplifier is configured to amplify the signal based on the selected gain setting. An offset estimator is configured to determine an updated offset value as a function of both a time-average value of the signal and a previously-stored offset value. The previously stored offset value is an offset value that was stored in the memory at a time prior to the gain controller switching to the currently-selected gain setting from a previously-selected gain setting.