Record Details

An uncertainty principle for real signals in the fractional Fourier transform domain

DSpace at IIT Bombay

View Archive Info
 
 
Field Value
 
Title An uncertainty principle for real signals in the fractional Fourier transform domain
 
Creator GADRE, VM
SHINDE, SUDARSHAN B
 
Subject fourier transforms
gaussian processes
indeterminancy
signal representation
time-frequency analysis
 
Description 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.
 
Publisher IEEE
 
Date 2008-11-21T10:29:59Z
2011-11-25T12:45:48Z
2011-12-26T13:08:53Z
2011-12-27T05:34:16Z
2008-11-21T10:29:59Z
2011-11-25T12:45:48Z
2011-12-26T13:08:53Z
2011-12-27T05:34:16Z
2001
 
Type Article
 
Identifier IEEE Transactions on Signal Processing 49(11), 2545-48
1053-587X
http://dx.doi.org/10.1109/78.960402
http://hdl.handle.net/10054/89
http://dspace.library.iitb.ac.in/xmlui/handle/10054/89
 
Language en_US