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.　©　2010　IEEE.