  In this paper, we propose a practical receiver for multicarrier signals
subjected to a strong memoryless nonlinearity. The receiver design is based on
a generalized approximate message passing (GAMP) framework, and this allows
real-time algorithm implementation in software or hardware with moderate
complexity. We demonstrate that the proposed receiver can provide more than a
2dB gain compared with an ideal uncoded linear OFDM transmission at a BER range
$10^{-4}\div10^{-6}$ in the AWGN channel, when the OFDM signal is subjected to
clipping nonlinearity and the crest-factor of the clipped waveform is only
1.9dB. Simulation results also demonstrate that the proposed receiver provides
significant performance gain in frequency-selective multipath channels
