A method/apparatus is provided that detects impairment in a received signal and employs the structure in the receiver that is designed for that purpose. Preferably, the method/apparatus detects the interferer modulation and employs the structure in the receiver that is designed for that purpose. The detection is preferably performed using a quality measure, e.g., the residual errors after channel estimation or SNR (signal-to-noise-ratio) estimates after channel estimation. Preferably, hypothesis tests, threshold schemes, or schemes where the threshold is adapted according to one of the measures are used. The receiver selects between an interference rejection method and a conventional receiver or selects between an interference rejection method and a less powerful interference rejection method, or a combination thereof.