Abstract
In order to decrease the computation and storage load, different sampling-rates, together with the Sampling-rate Conversion, are often used in a system. When a signal is analyzed in the fractional Fourier domain, the lower sampling-rate could be adopted than the Nyquist sampling-rate, which means that the traditional sampling-rate conversion theory, founded in the frequency domain, could be disabled under the circumstances. The traditional sampling-rate conversion theory is generalized to obtain the version for the fractional Fourier transform (FRFT). First, the formulas and signification of decimation and interpolation are studied in the fractional Fourier domain. Based on these results, the sampling-rate conversion theory for the FRFT with a rational fraction as conversion factor is deduced. It's obvious that the sampling-rate conversion theory for the FRFT changes to the traditional version when the FRFT order equals π/2. Finally, the theory obtained in this paper is verified by some simulations.
| Original language | English |
|---|---|
| Pages (from-to) | 2190-2194 |
| Number of pages | 5 |
| Journal | Tien Tzu Hsueh Pao/Acta Electronica Sinica |
| Volume | 34 |
| Issue number | 12 |
| Publication status | Published - Dec 2006 |
Keywords
- Decimation
- Fractional Fourier transform
- Interpolation
- Sampling-rate conversion