The present disclosure provides methods and apparatuses for demodulating discrete-time desired signals in a period-Td bandpass desired signal in the presence of interference that results from a period-T bandpass interference signal that has been nonlinear distorted. Estimation of the nonlinear-distorted interference and subsequent cancellation from a received signal, that includes the interference and desired signal, produces residual-interference signals. The demodulation of the residual-interference signals uses an equalization technique when Td is not equal to T. The estimation, cancellation, and demodulation are adapted for changing nonlinear distortion effects.