2017
DOI: 10.2306/scienceasia1513-1874.2017.43.312
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Improved GP algorithm for the analysis of sleep stages based on grey model

Abstract: Correlation dimension analysis of EEG signals is widely used to access sleep stages. However, the standard Grassberger-Procaccia (GP) algorithm used to calculate the correlation dimension is very time consuming. To overcome this problem, an algorithm that combines the grey model and GP algorithm (GM-GP) is proposed. The results show that the correlation dimensions computed from GP and GM-GP are highly correlated, and the significance between the CDs in different stages of GM-GP is similar to GP. Furthermore, t… Show more

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Cited by 6 publications
(4 citation statements)
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References 23 publications
(25 reference statements)
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“…These features are typically calculated by applying a fast Fourier transform (FFT) to short-time window segments of EEG signals followed by further processing. Considering that the property of EEG signals is somewhat chaotic, in addition to the traditional features of the EEG signal, the chaotic features based on non-linear dynamical analysis are also highly recommended to investigate the dynamic characteristics of EEG (Li et al, 2017 ; Nawaz et al, 2020 ). In the current study, 12 time domain features, seven spectral features, and six chaotic features are extracted for further analysis, as shown in Figure 4 .…”
Section: Methodsmentioning
confidence: 99%
“…These features are typically calculated by applying a fast Fourier transform (FFT) to short-time window segments of EEG signals followed by further processing. Considering that the property of EEG signals is somewhat chaotic, in addition to the traditional features of the EEG signal, the chaotic features based on non-linear dynamical analysis are also highly recommended to investigate the dynamic characteristics of EEG (Li et al, 2017 ; Nawaz et al, 2020 ). In the current study, 12 time domain features, seven spectral features, and six chaotic features are extracted for further analysis, as shown in Figure 4 .…”
Section: Methodsmentioning
confidence: 99%
“…e GP algorithm is one e ective method of calculating the correlation dimension of chaotic time series [33]. Correlation dimension analysis is an important branch of fractal theory, and this dimension is used as an indicator to evaluate complex trends in data.…”
Section: Correlation Dimension Calculation With the Gp Algorithmmentioning
confidence: 99%
“…Correlation dimension is a branch of fractal dimension, it has been widely used in signal processing because of simple calculation. In 1983, Grassberger and Procacca proposed the GP algorithm for calculating the correlation dimension of time series [ 43 ]. For the time series , let the embedding dimension of reconstructed phase space is , the delayed sampling is applied to a series with a delay .…”
Section: The Proposed Noise Reduction Algorithmmentioning
confidence: 99%