  In this paper we propose a novel form of clipping mitigation in OFDM using
compressive sensing that completely avoids tone reservation and hence rate loss
for this purpose. The method builds on selecting the most reliable
perturbations from the constellation lattice upon decoding at the receiver, and
performs compressive sensing over these observations in order to completely
recover the temporally sparse nonlinear distortion. As such, the method
provides a unique practical solution to the problem of initial erroneous
decoding decisions in iterative ML methods, offering both the ability to
augment these techniques and to solely recover the distorted signal in one
shot.
