| Journal: | Computación y sistemas |
| Database: | PERIÓDICA |
| System number: | 000410045 |
| ISSN: | 1405-5546 |
| Authors: | Jiménez Fernández, Víctor Manuel1 Jiménez Fernández, Maribel2 Vázquez Leal, Héctor1 Filobello Nino, Uriel A1 Castro González, Francisco J1 |
| Institutions: | 1Universidad Veracruzana, Facultad de Instrumentation Electronica, Jalapa, Veracruz. México 2Universidad Veracruzana, Instituto de Ciencias Básicas, Jalapa, Veracruz. México |
| Year: | 2016 |
| Season: | Abr-Jun |
| Volumen: | 20 |
| Number: | 2 |
| Pages: | 227-237 |
| Country: | México |
| Language: | Inglés |
| Document type: | Artículo |
| Approach: | Experimental, aplicado |
| English abstract | Piecewise-linear models constitute an attractive alternative to construct a function whose graph fits a finite set of discrete points. These models are preferably selected over other approximation strategies like polynomials or splines. Although there are several piecewise-linear models reported in literature, the so-called High Level Canonical has the remarkable advantage of emerging from a well-structured algorithmic methodology to efficiently determine the parameters of any given piecewise-linear function. However, as it happens in all other piecewise-linear models, it also has the problem of lack of differentiability at the breakpoints. In order to solve this problem, an approach based on an exponential approximation of the basis-function is proposed as a strategy to transform the High Level Canonical piecewise-linear model into a smooth-piecewise one. This mathematical transformation ensures the existence and continuity of the nth-order derivatives of the resulting smooth model. Besides of this, it is observed that by applying the piecewise-linear to smooth transformation, the number of terms of the resulting smooth representation can significantly be reduced due to a great number of them can be approximated by a line equation. In order to verify the effectiveness of this proposal, numerical simulations performed on one-dimensional and two-dimensional functions are reported |
| Disciplines: | Ciencias de la computación, Ingeniería |
| Keyword: | Programación, Ingeniería electrónica, Modelo lineal determinista, Canónic de alto nivel |
| Keyword: | Computer science, Engineering, Programming, Electronic engineering, Piecewise linear model, High level canonical |
| Full text: | Texto completo (Ver HTML) |
