Application of Fractional Derivatives in Characterization of ECG graphs

Abstract

In this paper, we have discussed the prediction of Left Ventricular Hypertrophy (LVH) and Right Ventricular Hypertrophy (RVH) of the heart from an Electrocardiogram (ECG) Graph using fractional order calculus. An ECG is a rough or unreachable curve that is continuous everywhere but non-differentiable at some points or all points where classical calculus fails. The purpose of this paper is to find left and right fractional derivatives at those non-differentiable points and then predict LVH and RVH by calculating the phase transition values (absolute difference of left and right fractional derivatives). Fractal dimension and Hurst exponents of V1, V2, V5, and V6 leads of the ECGs have been calculated for both problematic and normal ECGs. All such measures will help doctors to diagnose LVH and RVH from ECG in a more accurate manner as compared to the techniques which are under the classical order method.