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Cases where the linear canonical transform of a signal has compact support or is band-limited

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Abstract

A signal may have compact support, be band-limited (i.e., its Fourier transform has compact support), or neither (“unbounded”). We determine conditions for the linear canonical transform of a signal having these properties. We examine the significance of these conditions for special cases of the linear canonical transform and consider the physical significance of our results.

© 2008 Optical Society of America

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