Skip to main content
Article thumbnail
Location of Repository

Digital filtering of band-limited signals using Periodic Nonuniform Sampling

By Kostadin Tzvetkov and Andrzej Tarczynski


We examine the problem of digital filtering of band-limited signals by means of a linear digital filter with one or more stopbands. The main target of the study is to filter the signals using lower than Landau sampling rates, where the Landau rate is defined as the total bandwidth of the input signal. In order to reach such low rates Periodic Nonuniform Sampling is employed. We derive necessary and sufficient conditions for perfect filtering, and propose a practical algorithm for constructing PNS grids that allow for sub-Landau sampling and filtering. Finally, we present a reconstruction system and provide a numerical result illustrating the proposed method

Topics: UOW3
Publisher: IEEE
OAI identifier:
Provided by: WestminsterResearch

Suggested articles


  1. (1959). A discussion of sampling theorems”,
  2. (1992). A weighted least squares algorithm for quasi-equiripple FIR and IIR digital filter design”,
  3. (1992). Approximation of FIR by IIR digital filters: an algorithm based on balanced model reduction”,
  4. (1988). Classical sampling theorems in the context of multirate and polyphase digital filter bank structures”,
  5. (1949). Communication in the presence of noise,”
  6. (1995). Complex Chebyshev approximation for FIR filter design”,
  7. (1953). Exact interpolation of band-limited functions”,
  8. full column rank. If this was not satisfied then there would be nonzero values ΔXP such that 0Δ =Z XP P . In such cases, if XP and XS solve (9) then
  9. (1977). Generalized sampling expansion,”
  10. (1993). Multirate systems and filterbanks,
  11. (1967). Necessary density conditions for sampling and interpolation of certain entire functions”,
  12. (1956). On nonuniform sampling of bandwidth-limited signals,”
  13. (2000). Perfect reconstruction formulas and bounds on aliasing error in sub-Nyquist nonuniform sampling of multiband signals”,
  14. (1998). Periodically nonuniform sampling of bandpass signals”,
  15. (2003). Sampling theorems for uniform and periodic nonuniform MIMO sampling of multiband signals”,

To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.