Proper Processing of β-Quaternion Wide-sense Markov Signals from Randomly Lost Observations
This letter addresses the problem of estimating wide-sense Markov signals within the β-quaternion domain, under conditions of first-order properness. This property offers a significant advantage that cannot be achieved in the real fields: a reduction in the dimensionality of the state-space model, r...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión borrador |
| Fecha de publicación: | 2024 |
| País: | España |
| Institución: | Universidad de Jaén |
| Repositorio: | RUJA. Repositorio Institucional de la Producción Científica de la Universidad de Jaén |
| OAI Identifier: | oai:ruja.ujaen.es:10953/4220 |
| Acceso en línea: | https://hdl.handle.net/10953/4220 |
| Access Level: | acceso abierto |
| Palabra clave: | Estimation packet dropouts properness conditions β -quaternion processing wide-sense Markov signals |
| Sumario: | This letter addresses the problem of estimating wide-sense Markov signals within the β-quaternion domain, under conditions of first-order properness. This property offers a significant advantage that cannot be achieved in the real fields: a reduction in the dimensionality of the state-space model, resulting in lower computational load when running estimation algorithms. Once the equation of the wide-sense Markov signal model has been obtained, and assuming that the observations used to estimate the signal are affected by packet dropouts, a filtering algorithm based on first-order β-quaternion processing is devised for the optimal estimator. The effectiveness of the estimators proposed is illustrated through numerical comparison with those obtained by using traditional quaternion processing. |
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