Novel Uncertainty Principles Concerning Linear Canonical Wavelet Transform
Mawardi Bahri, Samsul Ariffin Abdul Karim
Abstract
The linear canonical wavelet transform is a nontrivial generalization of the classical wavelet transform in the context of the linear canonical transform. In this article, we first present a direct interaction between the linear canonical transform and Fourier transform to obtain the generalization of the uncertainty principles related to the linear canonical transform. We develop these principles for constructing some uncertainty principles concerning the linear canonical wavelet transform.
Topics & Concepts
Harmonic wavelet transformWavelet transformMathematicsDiscrete wavelet transformFractional Fourier transformFourier transformStationary wavelet transformWaveletDiscrete Fourier transform (general)GeneralizationConstant Q transformContinuous wavelet transformMathematical analysisComputer scienceArtificial intelligenceFourier analysisMathematical Analysis and Transform MethodsImage and Signal Denoising MethodsAdvanced Image Fusion Techniques