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.
|Title of host publication||Time-frequency signal analysis and processing : a comprehensive reference|
|Place of Publication||Oxford, UK|
|Number of pages||8|
|Publication status||Published - 2003|
Alieva, T., & Bastiaans, M. J. (2003). Wigner distribution and fractional Fourier transform. In B. Boashash (Ed.), Time-frequency signal analysis and processing : a comprehensive reference (pp. 145-152). Elsevier.