Bandpass sampling for multiband signal on exponent demodulation function

We consider the problem of uniform Fourier bandpass sampling of multiband signal from the view of discrete frequency spectra. The sampling theory of multiband signal has been well established for a long time. Recently the improvement to compressed sampling for multiband signal ignites the excitement of the researchers again. The main focus of analog CS approach is on the Fourier transform model the multiband signal can be reliably reconstructed from sub-Nyquist sampled data. Extending the idea of analog CS, the novel formwork of this paper is based on the Fourier sampling. In order to apply discrete frequency spectra to bandpass sampling, we introduce an exponent demodulation function to the traditional bandpass sampling formwork. Under the new sampling formwork, the valid minimum sampling frequency of multiband signal is decreased.