Uncertainty principles for linear canonical transform
IEEE Transactions on Signal Processing
New inequalities and uncertainty relations on linear canonical transform revisit
EURASIP Journal on Advances in Signal Processing
Generalized prolate spheroidal wave functions associated with linear canonical transform
IEEE Transactions on Signal Processing
Signal recovery with cost-constrained measurements
IEEE Transactions on Signal Processing
On uncertainty principle for the linear canonical transform of complex signals
IEEE Transactions on Signal Processing
A fast algorithm for the linear canonical transform
Signal Processing
The fractional Fourier transform and quadratic field magnetic resonance imaging
Computers & Mathematics with Applications
Speech recovery based on the linear canonical transform
Speech Communication
Multi-channel filter banks associated with linear canonical transform
Signal Processing
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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.