A radio receiver circuit configured to receive a radio frequency signal and produce a baseband signal as an output therefrom has a channel filter having a bandwidth, the channel filter configured to receive the baseband output at a filter input and produce a filtered output at a filter output thereof. A signal-to-noise ratio (SNR) estimator prior to or after the channel filter or both is configured to estimate a signal-to-noise ratio of the baseband signal. A filter controller is configured to receive the signal-to-noise ratio estimate and control the channel filter to adjust the bandwidth thereof in accord with the signal-to-noise ratio estimate. This process thereby assists in improving SNR after the channel filtering by varying the channel filter bandwidth. This abstract is not to be considered limiting, since other embodiments may deviate from the features described in this abstract.