A single carrier/multi carrier community receiver includes: a first discrete Fourier transform unit, for generating a frequency-domain signal by executing a first discrete Fourier transform on a received signal received via the single carrier/multi carrier; a first frequency-domain equalizer, for generating a first equalized frequency-domain signal by executing a first equalizing process on the frequency-domain signal; an inverse discrete Fourier transform unit, coupled to the first frequency-domain equalizer, for generating a first equalized time-domain signal executing an inverse discrete Fourier transform according to the first equalized frequency-domain signal; a slicer, coupled to the inverse discrete Fourier transform unit, for generating a sliced time-domain signal by executing a slicing process according to the first equalized time-domain signal; and a compensating circuit, for compensating the first equalized frequency-domain signal or the first equalized time-domain signal at least according to the sliced time-domain signal.