A system according to one embodiment includes a demodulator configured to receive an orthogonal frequency division multiplexed (OFDM) modulated signal comprising a current symbol and a sequence of previous symbols, each of the symbols comprising one or more pilot sub-carriers and one or more data sub-carriers; a phase angle computation circuit coupled to the demodulator, the phase angle computation circuit configured to compute a first mean, the first mean computed from the phase angle of one or more of the pilot sub-carriers of a predetermined number of the previous symbols; a predictive filter circuit coupled to the phase angle computation circuit, the predictive filter circuit configured to compute a second mean, the second mean estimating the phase angle of one or more sub-carriers of the current symbol, the estimation based on the first mean; and a phase noise cancelling circuit coupled to the predictive filter circuit, the phase noise cancelling circuit configured to correct the phase of one or more sub-carriers of the current symbol based on the second mean.