A communication receiver includes a mixer, a filter group and an analog-to-digital converter. The mixer is used for mixing an input signal with a local oscillation signal to generate a mixed signal. The filter group is coupled to the mixer, and is used for filtering the mixed signal to generate a filtered signal, where the filter group includes a first one-pole filter, a second one-pole filter, and a complex-pole filter. The analog-to-digital converter is coupled to the filter group, and is used for performing an analog-to-digital converting operation on the filtered signal to generate a digital signal.