  A novel method for correcting the effect of nonlinear distortion in
orthogonal frequency division multiplexing signals is proposed. The method
depends on adaptively selecting the distortion over a subset of the data
carriers, and then using tools from compressed sensing and sparse Bayesian
recovery to estimate the distortion over the other carriers. Central to this
method is the fact that carriers (or tones) are decoded with different levels
of confidence, depending on a coupled function of the magnitude and phase of
the distortion over each carrier, in addition to the respective channel
strength. Moreover, as no pilots are required by this method, a significant
improvement in terms of achievable rate can be achieved relative to previous
work.
