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Please use this identifier to cite or link to this item: http://dspace.library.iitb.ac.in/jspui/handle/10054/89

Title: An uncertainty principle for real signals in the fractional Fourier transform domain
Authors: GADRE, VM
Keywords: fourier transforms
gaussian processes
signal representation
time-frequency analysis
Issue Date: 2001
Publisher: IEEE
Citation: IEEE Transactions on Signal Processing 49(11), 2545-48
Abstract: The fractional Fourier transform (FrFT) can be thought of as a generalization of the Fourier transform to rotate a signal representation by an arbitrary angle α in the time-frequency plane. A lower bound on the uncertainty product of signal representations in two FrFT domains for real signals is obtained, and it is shown that a Gaussian signal achieves the lower bound. The effect of shifting and scaling the signal on the uncertainty relation is discussed. An example is given in which the uncertainty relation for a real signal is obtained, and it is shown that this relation matches with that given by the uncertainty relation derived.
URI: http://dx.doi.org/10.1109/78.960402
ISSN: 1053-587X
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