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On bandlimited signals with fractional Fourier transform

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1 Author(s)
Xiang-Gen Xia ; Hughes Res. Labs., Malibu, CA, USA

We study bandlimited signals with fractional Fourier transform (FRFT). We show that if a nonzero signal f is bandlimited with FRFT F/sub /spl alpha// for a certain real /spl alpha/, then it is not bandlimited with FRFT F/sub /spl beta// for any /spl beta/ with /spl beta//spl ne//spl plusmn//spl alpha/+n/spl pi/ for any integer n. This is a generalization of the fact that a nonzero signal can not be both timelimited and bandlimited. We also provide sampling theorems for bandlimited signals with FRFT that are similar to the Shannon sampling theorem.

Published in:

Signal Processing Letters, IEEE  (Volume:3 ,  Issue: 3 )