Abstract
We have described the relationship between the fractional Fourier transform and the Wigner distribution by using the Radon-Wigner transform, which is a set of projections of the Wigner distribution as well as a set of squared moduli of the fractional Fourier transform. We have introduced the concept of fractional Fourier transform moments and have proposed a way for the calculation of the well-known global and local moments of the Wigner distribution, based on the knowledge of a few fractional power spectra. The application of the results in optics and signal processing has been discussed briefly.
| Original language | English |
|---|---|
| Title of host publication | Time-frequency signal analysis and processing : a comprehensive reference |
| Editors | B. Boashash |
| Place of Publication | Oxford, UK |
| Publisher | Elsevier |
| Pages | 145-152 |
| Number of pages | 8 |
| ISBN (Print) | 0-08-044335-4 |
| Publication status | Published - 2003 |