Best two‐parameter rational approximation algorithm of given order: a variation of adaptive Fourier decomposition |
| |
| Authors: | Chao Huang Lihui Tan Lihua Yang |
| |
| Institution: | 1. College of Mathematics and Computational Science, Shenzhen University, Shenzhen Key Laboratory of Media Security, Shenzhen, China;2. School of Applied Mathematics, Guangdong University of Technology, Guangzhou, China;3. Guangdong Province Key Laboratory of Computational Science, School of Mathematics and Computational Science, Sun Yat‐sen University, Guangzhou, China |
| |
| Abstract: | The concept of mono‐component is widely used in nonstationary signal processing and time‐frequency analysis. In this paper, we construct several classes of complete rational function systems in the Hardy space, whose boundary values are mono‐components. Then, we propose a best approximation algorithm (BAA) based on optimal selections of two parameters in the orthonormal bases according to the approximation error. Effectiveness of BAA is evaluated by comparison experiments with the classical Fourier decomposition algorithm. It is also shown that BAA has promising results for filtering out noises and dealing with real‐world signals. Copyright © 2014 John Wiley & Sons, Ltd. |
| |
| Keywords: | mono‐component complete rational function system signal decomposition Hardy space |
|
|
