Abstract
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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 383-392 |
| Number of pages | 10 |
| Journal | WSEAS Transactions on Mathematics |
| Volume | 8 |
| Issue number | 8 |
| State | Published - Nov 27 2009 |
| Externally published | Yes |
Keywords
- Aliasing
- Csinc-interpolation
- First-order sampling
- Multi-band bandpass signals
- Nyquist rate
- Permissible sampling rates
- Sampling theorem
ASJC Scopus subject areas
- Algebra and Number Theory
- Endocrinology, Diabetes and Metabolism
- Statistics and Probability
- Discrete Mathematics and Combinatorics
- Management Science and Operations Research
- Control and Optimization
- Computational Mathematics
- Applied Mathematics
