As the digital system with high sampling rates is required to process numerous data, it is difficult to realize the real time processing for this system. By using the nonlinear energy tracking signal operator, in this paper four kinds of AM/FM demodulators are proposed and designed by the undersampling scheme of decreasing the sampling rate. Particularly, the undersampling frequency and 3dB bandwidth are controllable of these systems and their conditions are respectively. Through the analysis of the designed detectors, useful results are obtained in respect to characteristics and errors.