An Efficient Forecasting Approach to Reduce Boundary Effects in Real-Time Time-Frequency Analysis - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2021

An Efficient Forecasting Approach to Reduce Boundary Effects in Real-Time Time-Frequency Analysis

Résumé

Time-frequency (TF) representations of time series are intrinsically subject to the boundary effects. As a result, the structures of signals that are highlighted by the representations are garbled when approaching the boundaries of the TF domain. In this paper, for the purpose of realtime TF information acquisition of nonstationary oscillatory time series, we propose a numerically efficient approach for the reduction of such boundary effects. The solution relies on an extension of the analyzed signal obtained by a forecasting technique. In the case of the study of a class of locally oscillating signals, we provide a theoretical guarantee of the performance of our approach. Following a numerical verification of the algorithmic performance of our approach, we validate it by implementing it on biomedical signals.
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PPG2sst-eps-converted-to.pdf (489.03 Ko) Télécharger le fichier
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Resp2compZOOM-eps-converted-to.pdf (129.21 Ko) Télécharger le fichier
SupMat.pdf (1.13 Mo) Télécharger le fichier
THOfailure-eps-converted-to.pdf (221.49 Ko) Télécharger le fichier
THOforecast-eps-converted-to.pdf (181.45 Ko) Télécharger le fichier
VarianceKSine-eps-converted-to.pdf (31.3 Ko) Télécharger le fichier
VarianceNoiseSine-eps-converted-to.pdf (33.7 Ko) Télécharger le fichier
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Dates et versions

hal-03141062 , version 1 (14-02-2021)
hal-03141062 , version 2 (22-02-2021)

Identifiants

  • HAL Id : hal-03141062 , version 1

Citer

Adrien Meynard, Hau-Tieng Wu. An Efficient Forecasting Approach to Reduce Boundary Effects in Real-Time Time-Frequency Analysis. 2021. ⟨hal-03141062v1⟩
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