We study the time reversal properties of time series by means of a ternary coding of the differentiated series For the symbolic series obtained in this way we show that suitable pairs of ternary words have the same probability if the time series is reversible. This provides tests in which time reversibility is rejected if the estimated probabilities are significantly different. We apply one of these tests to the human heartbeat series extracted from 24 h Holter recordings of 19 healthy subjects. Data analysis shows a highly significant prevalence of irreversibility. Our symbolic approach to time reversal gives further support to the suitability of non-linear modeling of the normal heartbeat. (c) 2006 Published by Elsevier Ltd.
Time reversal, symbolic series and irreversibility of human heartbeat / Cammarota, Camillo; Rogora, Enrico. - In: CHAOS, SOLITONS AND FRACTALS. - ISSN 0960-0779. - 32:5(2007), pp. 1649-1654. [10.1016/j.chaos.2006.03.126]
Time reversal, symbolic series and irreversibility of human heartbeat
CAMMAROTA, Camillo;ROGORA, Enrico
2007
Abstract
We study the time reversal properties of time series by means of a ternary coding of the differentiated series For the symbolic series obtained in this way we show that suitable pairs of ternary words have the same probability if the time series is reversible. This provides tests in which time reversibility is rejected if the estimated probabilities are significantly different. We apply one of these tests to the human heartbeat series extracted from 24 h Holter recordings of 19 healthy subjects. Data analysis shows a highly significant prevalence of irreversibility. Our symbolic approach to time reversal gives further support to the suitability of non-linear modeling of the normal heartbeat. (c) 2006 Published by Elsevier Ltd.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.