# Correction of the recording artifacts and detection of the functional deviations in ECG by means of syndrome decoding with an automatic burst error correction of the cyclic codes using periodograms for determination of code component spectral range

Part II: Old mathematics for the novel applied problems of Cardiometry

## Aims

This paper describes a novel approach to the analysis of electrocardiographic data based on the consideration of the repetitive P, Q, R, S, T sequences as cyclic codes. In Part I we introduce a principle similar to the syndrome decoding using the control numbers, which allows correcting the noise combinations.

## Materials and methods

We propose to apply the burst-error-correcting algorithms for automatic detection of the ECG artifacts and the functional abnormalities, including those compared to the reference model. Our approach is compared to the symbolic dynamics methods in cardiology practice. During the automated search of the code components (i.e. point values and spectral ranges one-to-one corresponding to P, Q, R, S, T) considered in Part II, the authors apply the Lomb-Scargle periodogram method with the phase control which allows to determine the code components not only from the main harmonics, but also using the sidebands, avoiding the phase errors.

## Results

The results of the method testing on rats with the heart failure using a simplified telemetric recording from the implantable chips are given in Part III. A complete independence of the results of the determination of the code points (fingerprints) from the variables for which the calculation is performed is shown. We also prove the robustness of the above approach with respect to the most types of the non-adaptive filtration.

## Conclusion

The above method can be useful not only for experimental medicine, but also for veterinary and clinical diagnostic practice. This method is adequately reproducable both on animals and human ECG, except for some constant values.

## Imprint

Evgenie D. Adamoviс, Pavel L. Aleksandrov, Oleg V. Gradov, Leonid M. Mamalyga, Maksim L. Mamalyga. Correction of the recording artifacts and detection of the functional deviations in ECG by means of syndrome decoding with an automatic burst error correction of the cyclic codes using periodograms for determination of code component spectral range. Cardiometry; Issue 8; May 2016; p.39–46; DOI:10.12710/cardiometry.2016.8.3946 Available from: http://www.cardiometry.net/issues/no8-may-2016/correction-of-the-recording-artifacts