By Topic

Uncertainty Principle for Real Signals in the Linear Canonical Transform Domains

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

2 Author(s)
Sharma, K.K. ; Dept. of Electron. & Commun. Eng., Malaviya Nat. Inst. of Technol., Jaipur ; Joshi, S.D.

The linear canonical transform (LCT) is a generalization of the fractional Fourier transform (FRFT) having applications in several areas of signal processing and optics. In this paper, we extend the uncertainty principle for real signals in the fractional Fourier domains to the linear canonical transform domains, giving us the tighter lower bound on the product of the spreads of the signal in two specific LCT domains than the existing lower bounds in the LCT domains. It is seen that this lower bound can be achieved by a Gaussian signal. The effect of time-shifting and scaling the signal on the uncertainty principle is also discussed. It is shown here that a signal bandlimited in one LCT domain can be bandlimited in some other LCT domains also. The exceptions to the uncertainty principle in the LCT domains arising out of this are also discussed.

Published in:

Signal Processing, IEEE Transactions on  (Volume:56 ,  Issue: 7 )