When interpolation-induced reflection artifact meets time-frequency analysis

Yu Ting Lin; Patrick Flandrin; Hau Tieng Wu

doi:10.1109/TBME.2015.2510580

When interpolation-induced reflection artifact meets time-frequency analysis

Yu Ting Lin, Patrick Flandrin, Hau Tieng Wu

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

Objective: While extracting the temporal dynamical features based on the time-frequency analyses, like the reassignment and synchrosqueezing transform, attracts more and more interest in biomedical data analysis, we should be careful about artifacts generated by interpolation schemes, in particular when the sampling rate is not significantly higher than the frequency of the oscillatory component we are interested in. Methods: We formulate the problem called the reflection effect and provide a theoretical justification of the statement.We also show examples in the anesthetic depth analysis with clear but undesirable artifacts. Results: The artifact associated with the reflection effect exists not only theoretically but practically as well. Its influence is pronounced when we apply the time-frequency analyses to extract the time-varying dynamics hidden inside the signal. Conclusion: We have to carefully deal with the artifact associated with the reflection effect by choosing a proper interpolation scheme.

Original language	English (US)
Article number	7361992
Pages (from-to)	2133-2141
Number of pages	9
Journal	IEEE Transactions on Biomedical Engineering
Volume	63
Issue number	10
DOIs	https://doi.org/10.1109/TBME.2015.2510580
State	Published - Oct 2016

Keywords

Cubic spline (CS) interpolation
Electrocardiogram (ECG)-derived respiratory signal
Instantaneous heart rate (IHR)
Nonuniform sampling
Reassignment method
Synchrosqueezing transform (SST)

ASJC Scopus subject areas

Biomedical Engineering

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10.1109/TBME.2015.2510580

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title = "When interpolation-induced reflection artifact meets time-frequency analysis",

abstract = "Objective: While extracting the temporal dynamical features based on the time-frequency analyses, like the reassignment and synchrosqueezing transform, attracts more and more interest in biomedical data analysis, we should be careful about artifacts generated by interpolation schemes, in particular when the sampling rate is not significantly higher than the frequency of the oscillatory component we are interested in. Methods: We formulate the problem called the reflection effect and provide a theoretical justification of the statement.We also show examples in the anesthetic depth analysis with clear but undesirable artifacts. Results: The artifact associated with the reflection effect exists not only theoretically but practically as well. Its influence is pronounced when we apply the time-frequency analyses to extract the time-varying dynamics hidden inside the signal. Conclusion: We have to carefully deal with the artifact associated with the reflection effect by choosing a proper interpolation scheme.",

keywords = "Cubic spline (CS) interpolation, Electrocardiogram (ECG)-derived respiratory signal, Instantaneous heart rate (IHR), Nonuniform sampling, Reassignment method, Synchrosqueezing transform (SST)",

author = "Lin, {Yu Ting} and Patrick Flandrin and Wu, {Hau Tieng}",

note = "Publisher Copyright: {\textcopyright} 2015 IEEE.",

year = "2016",

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doi = "10.1109/TBME.2015.2510580",

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AU - Lin, Yu Ting

AU - Flandrin, Patrick

AU - Wu, Hau Tieng

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N2 - Objective: While extracting the temporal dynamical features based on the time-frequency analyses, like the reassignment and synchrosqueezing transform, attracts more and more interest in biomedical data analysis, we should be careful about artifacts generated by interpolation schemes, in particular when the sampling rate is not significantly higher than the frequency of the oscillatory component we are interested in. Methods: We formulate the problem called the reflection effect and provide a theoretical justification of the statement.We also show examples in the anesthetic depth analysis with clear but undesirable artifacts. Results: The artifact associated with the reflection effect exists not only theoretically but practically as well. Its influence is pronounced when we apply the time-frequency analyses to extract the time-varying dynamics hidden inside the signal. Conclusion: We have to carefully deal with the artifact associated with the reflection effect by choosing a proper interpolation scheme.

AB - Objective: While extracting the temporal dynamical features based on the time-frequency analyses, like the reassignment and synchrosqueezing transform, attracts more and more interest in biomedical data analysis, we should be careful about artifacts generated by interpolation schemes, in particular when the sampling rate is not significantly higher than the frequency of the oscillatory component we are interested in. Methods: We formulate the problem called the reflection effect and provide a theoretical justification of the statement.We also show examples in the anesthetic depth analysis with clear but undesirable artifacts. Results: The artifact associated with the reflection effect exists not only theoretically but practically as well. Its influence is pronounced when we apply the time-frequency analyses to extract the time-varying dynamics hidden inside the signal. Conclusion: We have to carefully deal with the artifact associated with the reflection effect by choosing a proper interpolation scheme.

KW - Cubic spline (CS) interpolation

KW - Electrocardiogram (ECG)-derived respiratory signal

KW - Instantaneous heart rate (IHR)

KW - Nonuniform sampling

KW - Reassignment method

KW - Synchrosqueezing transform (SST)

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When interpolation-induced reflection artifact meets time-frequency analysis

Abstract

Keywords

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