Nonlinear analysis of continuous ECG during sleep I. Reconstruction |
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Authors: | J Fell K Mann J Röschke M S Gopinathan |
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Institution: | (1) Department of Psychiatry, University of Mainz, Untere Zahlbacher Strasse 8, 55101 Mainz, Germany, DE;(2) Department of Chemistry, Indian Institute of Technology, 600 036 Madras, Chennai, India, IN |
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Abstract: | In recent years evidence has accumulated that ECG signals are of a nonlinear nature. It has been recognized that strictly
periodic cardiac rhythms are not accompanied by healthy conditions but, on the contrary, by pathological states. Therefore,
the application of methods from nonlinear system theory for the analysis of ECG signals has gained increasing interest. Crucial
for the application of nonlinear methods is the reconstruction (embedding) of the time series in a phase space with appropriate
dimension. In this study continuous ECG signals of 12 healthy subjects recorded during different sleep stages were analysed.
Proper embedding dimension was determined by application of two techniques – the false nearest neighbours method and the saturation
of the correlation dimension. Results for the ECG signals were compared with findings for simulated data (quasiperiodic dynamics,
Lorenz data, white noise) and for phase randomized surrogates. Findings obtained with the two approaches suggest that embedding
dimensions from 6 to 8 may be regarded as suitable for the topologically proper reconstruction of ECG signals.
Received: 7 June 1999 / Accepted in revised form: 10 December 1999 |
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