Dynamic Mode Decompositions of Phonation Onset – Comparison of Different Methods

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21220%2F22%3A00361646" target="_blank" >RIV/68407700:21220/22:00361646 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.14311/TPFM.2022.024" target="_blank" >https://doi.org/10.14311/TPFM.2022.024</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.14311/TPFM.2022.024" target="_blank" >10.14311/TPFM.2022.024</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Dynamic Mode Decompositions of Phonation Onset – Comparison of Different Methods

Popis výsledku v původním jazyce

Four dynamic mode decomposition (DMD) methods are used to analyze a simulation of the phonation onset carried out by in-house solver based on the finite element method. The dataset consists of several last periods of the flow-induced vibrations of vocal folds (VFs). The DMD is a data-driven and model-free method typically used for finding a low-rank representation of a high-dimensional system. In general, the DMD decomposes a given dataset to modes with mono-frequency content and associated complex eigenvalues providing the growth/decay rate that allows a favourable physical interpretation and in some cases also a short-term prediction of system behaviour. The disadvantages of the standard DMD are non- orthogonal modes and sensitivity to an increased noise level which are addressed by following DMD variants. The recursive DMD (rDMD) is an iterative DMD decomposition producing orthogonal modes. The total least-square DMD and the higher order DMD (hoDMD) are methods substantially reducing a high DMD sensitivity to noise. All methods identified very similar DMD modes as well as frequency spectra. Substantial difference was found in the real part of the spectra. The final dataset reconstruction is the most accurate in the case of the recursive variant. The higher order DMD method also outperforms the standard DMD. Thus the rDMD and the hoDMD decompositions are promising to be used further for the parametrization of a VF motion.

Název v anglickém jazyce

Dynamic Mode Decompositions of Phonation Onset – Comparison of Different Methods

Popis výsledku anglicky

Four dynamic mode decomposition (DMD) methods are used to analyze a simulation of the phonation onset carried out by in-house solver based on the finite element method. The dataset consists of several last periods of the flow-induced vibrations of vocal folds (VFs). The DMD is a data-driven and model-free method typically used for finding a low-rank representation of a high-dimensional system. In general, the DMD decomposes a given dataset to modes with mono-frequency content and associated complex eigenvalues providing the growth/decay rate that allows a favourable physical interpretation and in some cases also a short-term prediction of system behaviour. The disadvantages of the standard DMD are non- orthogonal modes and sensitivity to an increased noise level which are addressed by following DMD variants. The recursive DMD (rDMD) is an iterative DMD decomposition producing orthogonal modes. The total least-square DMD and the higher order DMD (hoDMD) are methods substantially reducing a high DMD sensitivity to noise. All methods identified very similar DMD modes as well as frequency spectra. Substantial difference was found in the real part of the spectra. The final dataset reconstruction is the most accurate in the case of the recursive variant. The higher order DMD method also outperforms the standard DMD. Thus the rDMD and the hoDMD decompositions are promising to be used further for the parametrization of a VF motion.

Druh

D - Stať ve sborníku

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

<a href="/cs/project/EF16_019%2F0000778" target="_blank" >EF16_019/0000778: Centrum pokročilých aplikovaných přírodních věd</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2022

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

Topical Problems of Fluid Mechanics 2022

ISBN

978-80-87012-77-2

ISSN

2336-5781

e-ISSN

—

Počet stran výsledku

9

Strana od-do

181-189

Název nakladatele

Ústav termomechaniky AV ČR, v. v. i.

Místo vydání

Praha

Místo konání akce

Praha

Datum konání akce

16. 2. 2022

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

—