Integral representations for metaplectic operators: energy localization problems

Patrick J. Oonincx; Hennie G. ter Morsche

doi:10.1117/12.406528

13 November 2000 Integral representations for metaplectic operators: energy localization problems

Patrick J. Oonincx, Hennie G. ter Morsche

Author Affiliations +

Proceedings Volume 4116, Advanced Signal Processing Algorithms, Architectures, and Implementations X; (2000) https://doi.org/10.1117/12.406528
Event: International Symposium on Optical Science and Technology, 2000, San Diego, CA, United States

Abstract

Applying the fractional Fourier transform (FRFT) and the Wigner distribution on a signal in a cascade fashion is equivalent with a rotation of the time and frequency parameters of the Wigner distribution. In this paper an integral representation formula is presented that yields affine transformations on the spatial and frequency parameters of the n-dimensional Wigner distribution if it is applied on a signal with the Wigner distribution as for the FRFT. This representation formula is used to solve certain energy localization problems in phase space.

Citation Download Citation

Patrick J. Oonincx and Hennie G. ter Morsche "Integral representations for metaplectic operators: energy localization problems", Proc. SPIE 4116, Advanced Signal Processing Algorithms, Architectures, and Implementations X, (13 November 2000); https://doi.org/10.1117/12.406528

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