The reduction of the duration of the transient response in a class of continuous-time LTV filters
Linear time-varying (LTV) systems have found a niche of their own in the processing of continuous-time signals. In this brief, it is shown how the reduction of the duration of the transient response of a class of continuous-time LTV filters may be seen as the combined effect of the increased dampeni...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2009 |
| País: | México |
| Institución: | Instituto Nacional de Astrofísica, Óptica y Electrónica |
| Repositorio: | Repositorio Institucional del INAOE |
| Idioma: | inglés |
| OAI Identifier: | oai:inaoe.repositorioinstitucional.mx:1009/1233 |
| Acceso en línea: | http://inaoe.repositorioinstitucional.mx/jspui/handle/1009/1233 |
| Access Level: | acceso abierto |
| Palabra clave: | info:eu-repo/classification/Continuous-time signal processing/Continuous-time signal processing info:eu-repo/classification/linear timevarying (LTV) systems/linear timevarying (LTV) systems info:eu-repo/classification/LTV filters/LTV filters info:eu-repo/classification/Time-varying eigenvalues/Time-varying eigenvalues info:eu-repo/classification/Transient response duration/Transient response duration info:eu-repo/classification/cti/1 info:eu-repo/classification/cti/22 info:eu-repo/classification/cti/2203 |
| Sumario: | Linear time-varying (LTV) systems have found a niche of their own in the processing of continuous-time signals. In this brief, it is shown how the reduction of the duration of the transient response of a class of continuous-time LTV filters may be seen as the combined effect of the increased dampening of its amplitude response and the increase of the instantaneous frequency of its damped oscillations. For this aim, an LTV system whose damping factor and the damped frequency of its oscillations may be specified as functions of time is used as a vehicle of study. Time-varying eigenvalues are used to assess the behavior of the proposed system. Simulation results are used to verify the proposed mechanism behind the reduction of the duration of the transient response in the LTV filters under study. |
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