Abstract
This brief explores the approximation properties of a unique basis expansion based on Pascal's triangle, which realizes a sampled-data driven approach between a continuous-time signal and its discrete-time representation. The roles of certain parameters, such as sampling time interval or model order, and signal characteristics, i.e., its curvature, on the approximation are investigated. Approximate errors in one and multiple-step predictions are analyzed. Furthermore, time-variant approximations under the thresholds of signal curvature are employed to narrow errors and provide flexibilities.
| Original language | English |
|---|---|
| Title of host publication | Proceedings of the 32nd Chinese Control and Decision Conference, CCDC 2020 |
| Publisher | Institute of Electrical and Electronics Engineers Inc. |
| Pages | 1571-1575 |
| Number of pages | 5 |
| ISBN (Electronic) | 9781728158549 |
| DOIs | |
| Publication status | Published - Aug 2020 |
| Externally published | Yes |
| Event | 32nd Chinese Control and Decision Conference, CCDC 2020 - Hefei, China Duration: 22 Aug 2020 → 24 Aug 2020 |
Publication series
| Name | Proceedings of the 32nd Chinese Control and Decision Conference, CCDC 2020 |
|---|
Conference
| Conference | 32nd Chinese Control and Decision Conference, CCDC 2020 |
|---|---|
| Country/Territory | China |
| City | Hefei |
| Period | 22/08/20 → 24/08/20 |
Keywords
- Discretization
- Sampling
- Signal approximation
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Chen, L., Yu, X., & Lü, J. (2020). Signal approximation with Pascal's triangle and sampling. In Proceedings of the 32nd Chinese Control and Decision Conference, CCDC 2020 (pp. 1571-1575). Article 9164011 (Proceedings of the 32nd Chinese Control and Decision Conference, CCDC 2020). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CCDC49329.2020.9164011