Multiresolutional distributed filtering: A novel technique that reduces the amount of data required in high resolution electrocardiography

Abstract High resolution ECG analysis is widely accepted as the best non-invasive technique for the assessment of ventricular tachycardia risk in post-myocardial infarction patients. However, the standard analysis approaches involve an extensive averaging procedure which requires long data records, accompanied by the consequent efforts for storage and transmission. This paper outlines an algorithm for multiresolutional distributed filtering, that can significantly reduce the necessary amount of data. The proposed filtering method comprises three basic steps: the dyadic wavelet transform computation, the shrinkage of the wavelet coefficients using adaptive Bayesian rules, and the reconstruction of the denoised signal through the inverse wavelet transform. The performance evaluation using controlled simulation experiments revealed that the present technique could accelerate the noise reduction, preserving the diagnostic value of the signals.

[1]  O. Rioul,et al.  Wavelets and signal processing , 1991, IEEE Signal Processing Magazine.

[2]  H. Wellens,et al.  Observations on Mechanisms of Ventricular Tachycardia in Man , 1976, Circulation.

[3]  Stéphane Mallat,et al.  A Theory for Multiresolution Signal Decomposition: The Wavelet Representation , 1989, IEEE Trans. Pattern Anal. Mach. Intell..

[4]  I. Johnstone,et al.  Wavelet Shrinkage: Asymptopia? , 1995 .

[5]  V Hombach,et al.  Standards for analysis of ventricular late potentials using high-resolution or signal-averaged electrocardiography: a statement by a task force committee of the European Society of Cardiology, the American Heart Association, and the American College of Cardiology. , 1991, Journal of the American College of Cardiology.

[6]  M. Portnoff Time-frequency representation of digital signals and systems based on short-time Fourier analysis , 1980 .

[7]  B. Furht,et al.  An adaptive real-time ECG compression algorithm with variable threshold , 1988, IEEE Transactions on Biomedical Engineering.

[8]  Ralph Lazzara,et al.  Critical Analysis of the Signal‐Averaged Electrocardiogram Improved Identification of Late Potentials , 1993, Circulation.

[9]  G. Breithardt,et al.  Standards for analysis of ventricular late potentials using high resolution or signal-averaged electrocardiography. A statement by a Task Force Committee between the European Society of Cardiology, the American Heart Association and the American College of Cardiology. , 1991, European heart journal.

[10]  A. Grossmann,et al.  DECOMPOSITION OF HARDY FUNCTIONS INTO SQUARE INTEGRABLE WAVELETS OF CONSTANT SHAPE , 1984 .

[11]  P. Denes,et al.  Quantitative Analsis of the High‐frequency Components of the Terminal Portion of the Body Surface QRS in Normal Subjects and in Patients with Ventricular Tachycardia , 1983, Circulation.

[12]  C. Li,et al.  Detection of ECG characteristic points using wavelet transforms. , 1995, IEEE transactions on bio-medical engineering.

[13]  N. Thakor,et al.  Ventricular late potentials characterization in time-frequency domain by means of a wavelet transform , 1994, IEEE Transactions on Biomedical Engineering.

[14]  M.E. Womble,et al.  Data compression for storing and transmitting ECG's/VCG's , 1977, Proceedings of the IEEE.

[15]  M. Josephson,et al.  Entrainment of ventricular tachycardia: explanation for surface electrocardiographic phenomena by analysis of electrograms recorded within the tachycardia circuit. , 1988, Circulation.

[16]  P Lander,et al.  Principles and signal processing techniques of the high-resolution electrocardiogram. , 1992, Progress in cardiovascular diseases.

[17]  E J Berbari,et al.  High-resolution electrocardiography. , 1988, Critical reviews in biomedical engineering.

[18]  M. Simson Use of Signals in the Terminal QRS Complex to Identify Patients with Ventricular Tachycardia After Myocardial Infarction , 1981, Circulation.

[19]  Dennis Gabor,et al.  Theory of communication , 1946 .

[20]  J A Crowe,et al.  Wavelet transform as a potential tool for ECG analysis and compression. , 1992, Journal of biomedical engineering.

[21]  Michael H. Neumann,et al.  Exact Risk Analysis of Wavelet Regression , 1998 .

[22]  H. Chipman,et al.  Adaptive Bayesian Wavelet Shrinkage , 1997 .

[23]  I. Johnstone,et al.  Ideal spatial adaptation by wavelet shrinkage , 1994 .

[24]  I. S. N. Murthy,et al.  ECG Data Compression Using Fourier Descriptors , 1986, IEEE Transactions on Biomedical Engineering.

[25]  R. Califf,et al.  Comparison of time domain and frequency domain variables from the signal-averaged electrocardiogram: a multivariable analysis. , 1988, Journal of the American College of Cardiology.

[26]  I. Daubechies Orthonormal bases of compactly supported wavelets , 1988 .

[27]  P. Lander,et al.  Time-frequency plane Wiener filtering of the high-resolution ECG: development and application , 1997, IEEE Transactions on Biomedical Engineering.

[28]  Willis J. Tompkins,et al.  A New Data-Reduction Algorithm for Real-Time ECG Analysis , 1982, IEEE Transactions on Biomedical Engineering.

[29]  Y. Meyer Principe d'incertitude, bases hilbertiennes et algèbres d'opérateurs , 1986 .

[30]  J. Bigger,et al.  Importance of the endpoint of noise reduction in analysis of the signal-averaged electrocardiogram. , 1989, The American journal of cardiology.

[31]  R Lazzara,et al.  The Pathophysiology of Malignant Ventricular Arrhythmias During Acute Myocardial Ischemia , 1974, Circulation.

[32]  P Lander,et al.  Optimal filtering and quality control of the signal-averaged ECG. High-fidelity 1-minute recordings. , 1995, Circulation.

[33]  H. Kennedy,et al.  Signal-averaged electrocardiography in the time and frequency domains. , 1989, The American journal of cardiology.

[34]  L. Sornmo,et al.  Signal-to-noise ratio enhancement of cardiac late potentials using ensemble correlation , 1995, IEEE Transactions on Biomedical Engineering.

[35]  R Lazzara,et al.  Re‐entrant Ventricular Arrhythmias in the Late Myocardial Infarction Period: 1. Conduction Characteristics in the Infarction Zone , 1977, Circulation.

[36]  B E Sobel,et al.  Fast-Fourier transform analysis of signal-averaged electrocardiograms for identification of patients prone to sustained ventricular tachycardia. , 1984, Circulation.