  The nonlinear signal processing has achieved a rapid process in the recent
years. A family of nonlinear Fourier bases, as a typical family of
mono-component signals, has been constructed and applied to signal processing.
In this paper, the approximation properties of the partial sums and Ces?aro
summability of series by the nonlinear Fourier basis are investigated in the
Lp(T). Furthermore, these results are applied to the prove of Bernstein's
inequalities for nonlinear trigonometric polynomials.
