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Tighter uncertainty principles for periodic signals in terms of frequency
Authors:Pei Dang
Institution:Department of General Education, Macau University of Science and Technology, Macao (Via Hong Kong)
Abstract:In this study, we propose some new uncertainty principles for periodic signals with sharper lower bounds than those in the existing ones. The improved lower bounds, in particular, are related to the frequency of the signal. Three examples are employed to demonstrate sharpness of the new uncertainty principles. Copyright © 2014 John Wiley & Sons, Ltd.
Keywords:periodic signals  circular Hilbert transform  uncertainty principle  frequency  phase derivative
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