A device for receiving a RF signal over multiple channels, a receiver incorporating the device, a method of providing digital calibration values for a digitally-tunable resonant circuit of the device, and a method of processing an RF signal. In one embodiment the device includes: (1) a low-noise amplifier having a digitally-tunable resonant circuit, (2) a memory configured to store digital calibration values particular to the device and (3) a time-constant controller coupled to the low-noise amplifier and configured to retrieve from the memory at least one of the digital calibration values as a function of a channel to be received and, based on the at least one, to cause the digitally-tunable resonant circuit to provide a time-constant corresponding to the channel to be received.