Linear canonical wave packet transform
Akhilesh Prasad, Manab Kundu
Abstract
In this paper, the idea of wave packet transform has been generalized. We have obtained reconstruction formula, characterization range, orthogonality, some important estimates and convolution of linear canonical wave packet transform. We have also discussed uncertainty principles and some properties on periodic functions for this transform.
Topics & Concepts
MathematicsOrthogonalityWave packetConvolution (computer science)Range (aeronautics)Mathematical analysisFractional Fourier transformApplied mathematicsFourier transformAlgorithmComputer scienceGeometryArtificial intelligenceFourier analysisComposite materialQuantum mechanicsPhysicsArtificial neural networkMaterials scienceMathematical Analysis and Transform MethodsImage and Signal Denoising MethodsDigital Filter Design and Implementation