TY - GEN
T1 - Reconstruction Error Estimation of Gaussian Markov Processes with Jitter
AU - Espinoza-Bautista, Jose Rodrigo
AU - Rodriguez-Saldana, Daniel
AU - Kazakov, Vladimir
N1 - Publisher Copyright:
© 2015 IEEE.
PY - 2015
Y1 - 2015
N2 - The reconstruction error estimation of the Gaussian Markov process in the presence of jitter is investigated in this paper, taking into account mainly two samples in the analysis. Two different situations are considered. In the first situation, the position of the first sample does not have jitter, but it exists in the second sample. In the second condition, the two samples have the presence of jitter. The probability density functions of jitter are represented by the uniform and the Erlang distributions. The results are obtained by applying statistical averaging to the conditional mean rule with respect to the random variable of jitter. This rule defines the conditional variance function as reconstruction error function, which allows us to determine the reconstruction error of the Gaussian Markov process on the whole time domain.
AB - The reconstruction error estimation of the Gaussian Markov process in the presence of jitter is investigated in this paper, taking into account mainly two samples in the analysis. Two different situations are considered. In the first situation, the position of the first sample does not have jitter, but it exists in the second sample. In the second condition, the two samples have the presence of jitter. The probability density functions of jitter are represented by the uniform and the Erlang distributions. The results are obtained by applying statistical averaging to the conditional mean rule with respect to the random variable of jitter. This rule defines the conditional variance function as reconstruction error function, which allows us to determine the reconstruction error of the Gaussian Markov process on the whole time domain.
KW - Gaussian Markov processes
KW - Reconstruction error estimation
KW - sampling with jitter
UR - http://www.scopus.com/inward/record.url?scp=84964331092&partnerID=8YFLogxK
U2 - 10.1109/ICMEAE.2015.22
DO - 10.1109/ICMEAE.2015.22
M3 - Contribución a la conferencia
AN - SCOPUS:84964331092
T3 - Proceedings - 2015 International Conference on Mechatronics, Electronics, and Automotive Engineering, ICMEAE 2015
SP - 236
EP - 240
BT - Proceedings - 2015 International Conference on Mechatronics, Electronics, and Automotive Engineering, ICMEAE 2015
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - International Conference on Mechatronics, Electronics, and Automotive Engineering, ICMEAE 2015
Y2 - 24 November 2015 through 27 November 2015
ER -