WSEAS Transactions on Mathematics
The first-order sampling of multi-band bandpass signals with arbitrary band positions is considered in this paper. Gaps between the spectral sub-bands are utilized to achieve lower sampling rates than the Nyquist. The lowest possible sampling rate along with other permissible sampling rates is identified via a unique partition of the frequency axis. With the complete identification of all the permissible sampling rates, a necessary and sufficient sampling theorem for multi-band bandpass signals is presented in terms of a series of csinc-interpolators.
Wu, Yan, Daniel F. Linder.
"Complete Identification of Permissible Sampling Rates for First-Order Sampling of Multi-Band Bandpass Signals."
WSEAS Transactions on Mathematics, 8 (1): 383-392.