Correlation dimension estimation from electrocardiograms

Abstract In this work the correlation dimension (D2) of electrocardiograms (ECG) has been computed on ECG recordings from the MIT-BIH Arrhythmia Data Base: 28 signals have been studied both analysing changes in D2 estimations obtained processing different time-slices within the same ECG signal, and comparing the D2 values computed from different subjects. We observed a greater time variation in the estimated D2 from pathological subjects, while D2 seems to be more repeatable in the case of healthy ones. Instead there is no clear evidence of significative differences in the D2 values computed from normal and sick subjects. Since the presence of noise affecting the signal induces significant errors in D2 estimates, we proposed the computation of the parameter α which gives us a rough information on the noise level.

[1]  L. Glass,et al.  Phase locking, period-doubling bifurcations, and irregular dynamics in periodically stimulated cardiac cells. , 1981, Science.

[2]  James P. Crutchfield,et al.  Geometry from a Time Series , 1980 .

[3]  R. Badii,et al.  On the Fractal Dimension of Filtered Chaotic Signals , 1986 .

[4]  F. Takens.  Detecting strange attractors in turbulence , 1981 .

[5]  Theiler,et al.  Spurious dimension from correlation algorithms applied to limited time-series data. , 1986, Physical review. A, General physics.

[6]  Klaus Fraedrich,et al.  Estimating the correlation dimension of an attractor from noisy and small datasets based on re-embedding , 1993 .

[7]  Fraser,et al.  Independent coordinates for strange attractors from mutual information. , 1986, Physical review. A, General physics.

[8]  P. Grassberger,et al.  Characterization of Strange Attractors , 1983 .

[9]  Peter Hunter,et al.  There is a theory of heart , 1990 .

[10]  D. O. Walter,et al.  Non-linear dynamics of electrocardiographic waveforms following cocaine administration. , 1991, Life sciences.

[11]  A. Casaleggio,et al.  Some results on the effect of digital filtering on the estimation of the Correlation Dimension , 1993, IEEE Winter Workshop on Nonlinear Digital Signal Processing.

[12]  G. P. King,et al.  Extracting qualitative dynamics from experimental data , 1986 .

[13]  Sandro Ridella,et al.  Efficient computation of the correlation dimension from a time series on a LIW computer , 1991, Parallel Comput..

[14]  Effect of constant intervals of a time series on the computation of the correlation dimension , 1992, Proceedings Computers in Cardiology.

[15]  S. Ridella,et al.  Study of the correlation dimension of ECG signals based on MIT-BIH Arrhythmia Data Base ECGs , 1989, [1989] Proceedings. Computers in Cardiology.

[16]  George G. Szpiro.  Measuring dynamical noise in dynamical systems , 1993 .

[17]  P. Grassberger,et al.  Measuring the Strangeness of Strange Attractors , 1983 .