The continuous wavelet derived by smoothing function and its application in cosmology |
Yun Wang,Ping He |
Figure B1. Three different smoothing functions and their corresponding wavelets. Upper left panel: Gaussian (red line), Meyer scaling (blue line) and Epanechnikov (green line) function in real space. Upper right panel: the wavelet functions derived from these smoothing functions. Lower left panel: Fourier transforms of the three smoothing functions. Lower right panel: Fourier transforms of the wavelets derived from the corresponding smoothing functions. |