Proper Processing of $\beta$-Quaternion Wide-Sense Markov Signals From Randomly Lost Observations

Autor: Jimenez-Lopez, Jose D., Navarro-Moreno, Jesus, Fernandez-Alcala, Rosa M., Ruiz-Molina, Juan C.
Zdroj: IEEE Signal Processing Letters; 2024, Vol. 31 Issue: 1 p2060-2064, 5p
Abstrakt: This letter addresses the problem of estimating wide-sense Markov signals within the $\beta$-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 $\beta$-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.
Databáze: Supplemental Index