Linear canonical Stockwell transform and the associated multiresolution analysis
Bivek Gupta, Amit K. Verma
Abstract
In this article, we propose a new class of transform called linear canonical Stockwell transform (LCST) and obtain its basic properties along with the inner product relation and reconstruction formula. We characterize the range of the transform and show that its range is the reproducing kernel Hilbert space. We also develop a multiresolution analysis (MRA) associated with the proposed transform together with the construction of the orthonormal basis for .
Topics & Concepts
MathematicsCanonical analysisMultiresolution analysisApplied mathematicsPure mathematicsArtificial intelligenceStatisticsWavelet transformWaveletComputer scienceDiscrete wavelet transformImage and Signal Denoising MethodsMathematical Analysis and Transform MethodsDigital Filter Design and Implementation