### 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 |
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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 |

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## Cite this

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.