An apparatus for performing channel estimation includes a time-domain estimating circuit to perform a channel estimation on a time-domain received signal to output a time-domain estimated signal, a second frequency-domain converting circuit to convert the time-domain estimated signal into a frequency-domain estimated signal, an error computing circuit to produce an error signal based on the frequency-domain estimated signal and a frequency-domain received signal, and a compensation circuit to compensate the frequency-domain estimated signal using the error signal so as to produce a final channel estimation signal. The apparatus is located in a receiving device that includes a first frequency-domain converting circuit to convert the time-domain received signal into the frequency-domain received signal, and an equalizer to generate a frequency-domain recovered signal based on the frequency-domain received signal and the final channel estimation signal.