A receiver for a modulated signal of a communication system is disclosed. The receiver includes a demodulator to demodulate the received modulated symbols of a received signal into received soft-bits. The receiver also includes a hard-decision decoder that is configured to decode the received soft-bits into decoded bits. A feedback loop is included to provide feedback from the hard decision decoder to the demodulator. The feedback loop is configured to re-encode the decoded bits from the hard-decision decoder into re-encoded bits. The demodulator is further configured to iteratively demodulate the received modulated signal using an output of the feedback loop.