Periodically nonuniform sampling of bandpass signals

Yuan-Pei Lin*, P. P. Vaidyanathan

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

140 Scopus citations


It is known that a continuous time signal x(i) with Fourier transform X(v) band-limited to |v|<0/2 can be reconstructed from its samples x(T0n) with To-2if/®. In the case that X(y) consists of two bands and is band-limited to i/o < H < v0+&/2, successful reconstruction of x(t) from z(T07i) requires an additional condition on the band positions. When the two bands are not located properly, Kohlenberg showed that we can use two sets of uniform samples, x(2T0n) and x(2Ton + d1), with average sampling period To, to recover x(i). Because two sets of uniform samples are employed, this sampling scheme is called Periodically Nonuniform Sampling of second order [PNS(2)J. In this paper, we show that PNS(2) can be generalized and applied to a wider class. Also, Periodically Nonuniform Sampling of Lth-order [PNS(L)] will be developed and used to recover a broader class of band-limited signals. Further generalizations will be made to the two-dimensional case and discrete time case.

Original languageAmerican English
Pages (from-to)340-351
Number of pages12
JournalIEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing
Issue number3
StatePublished - Mar 1998


  • Nonuniform sampling
  • Sampling methods
  • Bandwidth
  • Filters
  • Frequency
  • Interpolation
  • Fourier transforms
  • Sufficient conditions
  • Signal synthesis


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