Wavelet packets associated with linear canonical transform on spectrum
M. Younus Bhat, Aamir H. Dar
Abstract
The linear canonical transform (LCT) provides a unified treatment of the generalized Fourier transforms in the sense that it is an embodiment of several well-known integral transforms including the Fourier transform, fractional Fourier transform, Fresnel transform. Using this fascinating property of LCT, we, in this paper, constructed associated wavelet packets. First, we construct wavelet packets corresponding to nonuniform Multiresolution analysis (MRA) associated with LCT and then those corresponding to vector-valued nonuniform MRA associated with LCT. We investigate their various properties by means of LCT.
Topics & Concepts
Fractional Fourier transformHarmonic wavelet transformFourier transformWavelet packet decompositionMathematicsWaveletWavelet transformMathematical analysisFourier analysisAlgorithmComputer scienceArtificial intelligenceMathematical Analysis and Transform MethodsImage and Signal Denoising MethodsDigital Filter Design and Implementation