Linear canonical wavelet transform: Properties and inequalities
Mawardi Bahri, Amir Kamal Amir, Ryuichi Ashino
Abstract
This paper deals with the linear canonical wavelet transform. It is a non-trivial generalization of the ordinary wavelet transform in the framework of the linear canonical transform. We first present a direct relationship between the linear canonical wavelet transform and ordinary wavelet transform. Based on the relation, we provide an alternative proof of the orthogonality relation for the linear canonical wavelet transform. Some of its essential properties are also studied in detail. Finally, we explicitly derive several versions of inequalities associated with the linear canonical wavelet transform.
Topics & Concepts
Harmonic wavelet transformMathematicsWavelet transformDiscrete wavelet transformStationary wavelet transformWaveletSecond-generation wavelet transformWavelet packet decompositionContinuous wavelet transformLifting schemeOrthogonal waveletComputer scienceArtificial intelligenceMathematical Analysis and Transform MethodsImage and Signal Denoising MethodsAdvanced Image Fusion Techniques