A receiver includes an amplifier which is responsive to a control signal to amplify an input signal and which outputs a corresponding amplified signal, a demodulator which demodulates the amplified signal to generate first and second components, a converter which generates first samples corresponding to the respective first and second components and which digitalizes the first sample, and an auto gain controller (AGC) which generates second samples corresponding to the digitalized first samples and which generates the control signal corresponding to the second samples.