Integral Representations of Affine Transformations in Phase Space with an Application to Energy Localization Problems
نویسنده
چکیده
Applying the fractional Fourier transform 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. This report presents a formula for all unitary operators that are related to energy preserving transformations on the parameters of the Wigner distribution by means of such a cascade of operators. Furthermore, such operators are used to solve certain type of energy localization problems via the Weyl correspondence. 1991 Mathematics Subject Classification: 20C35, 33D45, 42A38, 43A65, 94A12.
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تاریخ انتشار 1999