Time-frequency analysis: theory and applications
Time-frequency analysis: theory and applications
Signal Processing
The Theory and Use of the Quaternion Wavelet Transform
Journal of Mathematical Imaging and Vision
The Two-Dimensional Clifford-Fourier Transform
Journal of Mathematical Imaging and Vision
Journal of Mathematical Imaging and Vision
An uncertainty principle for quaternion Fourier transform
Computers & Mathematics with Applications
Windowed linear canonical transform and its applications
Signal Processing
Some uncertainty principles for time-frequency transforms of the Cohen class
IEEE Transactions on Signal Processing
The uncertainty principle: global, local, or both?
IEEE Transactions on Signal Processing
Uncertainty Principle for Real Signals in the Linear Canonical Transform Domains
IEEE Transactions on Signal Processing - Part I
Digital Computation of Linear Canonical Transforms
IEEE Transactions on Signal Processing
An uncertainty principle for real signals in the fractional Fouriertransform domain
IEEE Transactions on Signal Processing
Information theoretic inequalities
IEEE Transactions on Information Theory
Hypercomplex Fourier Transforms of Color Images
IEEE Transactions on Image Processing
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Linear canonical transforms (LCTs) are a family of integral transforms with wide application in optical, acoustical, electromagnetic, and other wave propagation problems. The Fourier and fractional Fourier transforms are special cases of LCTs. In this paper, we extend the uncertainty principle for hypercomplex signals in the linear canonical transform domains, giving the tighter lower bound on the product of the effective widths of complex paravector- (multivector-)valued signals in the time and frequency domains. It is seen that this lower bound can be achieved by a Gaussian signal. An example is given to verify the result.