Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8901138 | Applied Mathematics and Computation | 2018 | 9 Pages |
Abstract
The time-fractional diffusion equation is used for signal smoothing. Compared to the classical diffusion equation, the time-fractional diffusion equation has another adjustable time-fractional derivative order to control the diffusion process. Therefore, some simulated signals are used to compare the smoothing performance between the time-fractional diffusion equation and the classical diffusion equation as well as between classical smoothing methods (regularization method, Savitzky-Golay method and wavelet method). In the end, the time-fractional diffusion filtering is applied in an NMR spectrum smoothing. Results indicate that the time-fractional diffusion filtering is advantage over the classical diffusion filtering and their smoothing performance is better than that of classical smoothing methods.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Li Yuanlu, Liu Fawang, Turner Ian W., Li Tao,