Nonlinear noise reduction for electrocardiograms.

The electrical activity of the heart usually shows dynamical behavior which is neither periodic nor deterministically chaotic: The interbeat intervals seem to contain a random component. Although long term predictions are thus impossible, good predictions can be made for times smaller than one heart cycle. This fact is used in order to suppress measurement errors by a local geometric projection method which was originally developed for chaotic signals. The result constitutes evidence that techniques of time series analysis based on chaos theory can be useful despite the fact that very few natural phenomena have been actually established to be deterministically chaotic. (c) 1996 American Institute of Physics.

[1]  William H. Press,et al.  Numerical recipes , 1990 .

[2]  Schreiber,et al.  Nonlinear noise reduction: A case study on experimental data. , 1993, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[3]  Leon Glass,et al.  Dynamical disease: Identification, temporal aspects and treatment strategies of human illness. , 1995, Chaos.

[4]  John B. Shoven,et al.  I , Edinburgh Medical and Surgical Journal.

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

[6]  Andreas S. Weigend,et al.  Time Series Prediction: Forecasting the Future and Understanding the Past , 1994 .

[7]  Schreiber,et al.  Noise reduction in chaotic time-series data: A survey of common methods. , 1993, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[8]  E. L. Fallen,et al.  Predictability of normal heart rhythms and deterministic chaos. , 1993, Chaos.

[9]  P. Grassberger,et al.  On noise reduction methods for chaotic data. , 1993, Chaos.

[10]  L Glass,et al.  Time series analysis of complex dynamics in physiology and medicine. , 1993, Medical progress through technology.

[11]  Roger G. Mark,et al.  Evaluation of the 'TRIM' ECG data compressor , 1988, Proceedings. Computers in Cardiology 1988.

[12]  Jørgen K. Kanters,et al.  Lack of Evidence for Low‐Dimensional Chaos in Heart Rate Variability , 1994, Journal of cardiovascular electrophysiology.

[13]  A. Ghaffar,et al.  Clinical Electrocardiography , 1924, Annals of Internal Medicine.