Complete identification of permissible sampling rates for the first-order sampling of multi-band bandpass signals

  • Authors:
  • Yan Wu;Daniel F. Linder

  • Affiliations:
  • Department of Mathematical Sciences, Georgia Southern University, Statesboro, GA;Department of Mathematical Sciences, Georgia Southern University, Statesboro, GA

  • Venue:
  • WSEAS Transactions on Mathematics
  • Year:
  • 2009

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Abstract

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.