Applications of the fractional Fourier transform to filtering, estimation and restoration

The fractional Fourier transform is more general and exible than the ordinary Fourier transform, but its optical and digital implementation is just as e cient. This underlies its potential for generalizations and improvements in every area of digital and optical signal processing. Here we consider applications of the transform to ltering, estimation and restoration. We see that the use of fractional Fourier transform based ltering con gurations allow one to exibly trade o between cost and accuracy in these applications.

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