A noise cancellation method comprises receiving, by an adaptive phase-noise cancellation apparatus, a noise-corrupted symbol from a receiver, performing a hard decision process on the noise-corrupted symbol to generate a substantially clean symbol based upon the noise-corrupted symbol, calculating a phase deviation of the noise-corrupted symbol based upon the substantially clean symbol and the noise-corrupted symbol, generating a phase error based upon the phase deviation and transmitting, at an output of the adaptive phase-noise cancellation apparatus, a phase corrected symbol determined in accordance with a subtraction of the generated phase error from the received noise-corrupted symbol.