The continuous wavelet derived by smoothing function and its application in cosmology

The wavelet analysis technique is a powerful tool and widely used in broad disciplines of engineering, technology, sciences. In this work, we present novel scheme constructing continuous functions, which the functions are obtained by taking first derivative smoothing with respect to scale parameter. Due scheme, inverse transforms only one-dimensional integrations parameter, hence constructed way more ready use than usual scheme. We then apply Gaussian-derived our computations density power spectrum for dark matter, velocity kinetic energy baryonic fluid. These exhibit convenience strength transforms. very easy perform, believe that simplicity will make useful practice.