Effect of sampling time jitter on robust [formula omitted] filtering estimates.
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| Title: | Effect of sampling time jitter on robust [formula omitted] filtering estimates. |
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| Authors: | Pale-Ramon, Eli G.1 (AUTHOR), Ortega-Contreras, Jorge A.1 (AUTHOR), Uribe-Murcia, Karen J.1 (AUTHOR), Shmaliy, Yuriy S.1 (AUTHOR) shmaliy@ugto.mx |
| Source: | Signal Processing. Sep2022, Vol. 198, pN.PAG-N.PAG. 1p. |
| Subjects: | Blood sugar monitoring, Blood sugar, Blood sugar monitors, Discrete time filters, Impulse response, Measurement errors |
| Abstract: | • Fractional time jitter proportionally affects the accuracy of filtering estimates. • The robust H2-OFIR filter mitigates timing jitter better than OFIR filter. • In most of the cases, the large timing jitter of 10% can be neglected. • Robust state estimators should be used when timing jitter is larger than 10%. • Jitter in glucose level measurements does not exceed 4% and can be neglected. In discrete-time processes, the sampling time jitter occurs naturally due to various unavoidable reasons, which make the model uncertain. Therefore, robust state estimators should be used. To find out if it is rational to design such estimators or if we can simply ignore the time jitter, in this paper we investigate its effect on the robust H 2 optimal finite impulse response (OFIR) filter in a comparison with the OFIR filter. As benchmarks, we also use the maximum likelihood FIR, unbiased FIR, and Kalman filters. The robust batch H 2 -OFIR filter is developed for timing jitter under disturbances, initial errors, and measurement errors. For Gaussian errors, its iterative algorithm is designed using modified Kalman recursions. Numerical investigations and applications to blood sugar monitoring in diabetic patients with daily timing jitter have shown that the robust H 2 -OFIR filter improves the accuracy of the OFIR filter by the factor of less than the fractional time jitter. That is, for large fractional timing jitter of 10 % the improvement would be less than 10 % that is small. Otherwise, it is worth using robust estimators. [ABSTRACT FROM AUTHOR] |
| Copyright of Signal Processing is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 156913360 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Effect of sampling time jitter on robust [formula omitted] filtering estimates. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Pale-Ramon%2C+Eli+G%2E%22">Pale-Ramon, Eli G.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Ortega-Contreras%2C+Jorge+A%2E%22">Ortega-Contreras, Jorge A.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Uribe-Murcia%2C+Karen+J%2E%22">Uribe-Murcia, Karen J.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Shmaliy%2C+Yuriy+S%2E%22">Shmaliy, Yuriy S.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> shmaliy@ugto.mx</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Signal+Processing%22">Signal Processing</searchLink>. Sep2022, Vol. 198, pN.PAG-N.PAG. 1p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Blood+sugar+monitoring%22">Blood sugar monitoring</searchLink><br /><searchLink fieldCode="DE" term="%22Blood+sugar%22">Blood sugar</searchLink><br /><searchLink fieldCode="DE" term="%22Blood+sugar+monitors%22">Blood sugar monitors</searchLink><br /><searchLink fieldCode="DE" term="%22Discrete+time+filters%22">Discrete time filters</searchLink><br /><searchLink fieldCode="DE" term="%22Impulse+response%22">Impulse response</searchLink><br /><searchLink fieldCode="DE" term="%22Measurement+errors%22">Measurement errors</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: • Fractional time jitter proportionally affects the accuracy of filtering estimates. • The robust H2-OFIR filter mitigates timing jitter better than OFIR filter. • In most of the cases, the large timing jitter of 10% can be neglected. • Robust state estimators should be used when timing jitter is larger than 10%. • Jitter in glucose level measurements does not exceed 4% and can be neglected. In discrete-time processes, the sampling time jitter occurs naturally due to various unavoidable reasons, which make the model uncertain. Therefore, robust state estimators should be used. To find out if it is rational to design such estimators or if we can simply ignore the time jitter, in this paper we investigate its effect on the robust H 2 optimal finite impulse response (OFIR) filter in a comparison with the OFIR filter. As benchmarks, we also use the maximum likelihood FIR, unbiased FIR, and Kalman filters. The robust batch H 2 -OFIR filter is developed for timing jitter under disturbances, initial errors, and measurement errors. For Gaussian errors, its iterative algorithm is designed using modified Kalman recursions. Numerical investigations and applications to blood sugar monitoring in diabetic patients with daily timing jitter have shown that the robust H 2 -OFIR filter improves the accuracy of the OFIR filter by the factor of less than the fractional time jitter. That is, for large fractional timing jitter of 10 % the improvement would be less than 10 % that is small. Otherwise, it is worth using robust estimators. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Signal Processing is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1016/j.sigpro.2022.108597 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 1 StartPage: N.PAG Subjects: – SubjectFull: Blood sugar monitoring Type: general – SubjectFull: Blood sugar Type: general – SubjectFull: Blood sugar monitors Type: general – SubjectFull: Discrete time filters Type: general – SubjectFull: Impulse response Type: general – SubjectFull: Measurement errors Type: general Titles: – TitleFull: Effect of sampling time jitter on robust [formula omitted] filtering estimates. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Pale-Ramon, Eli G. – PersonEntity: Name: NameFull: Ortega-Contreras, Jorge A. – PersonEntity: Name: NameFull: Uribe-Murcia, Karen J. – PersonEntity: Name: NameFull: Shmaliy, Yuriy S. IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 09 Text: Sep2022 Type: published Y: 2022 Identifiers: – Type: issn-print Value: 01651684 Numbering: – Type: volume Value: 198 Titles: – TitleFull: Signal Processing Type: main |
| ResultId | 1 |
