Mathematical modeling of real time ECG waveform

Abstract

Electrocardiogram (ECG) is a digital recording of heart rate variability that is used to detect the cardiac disorders. Often these recordings are affected by physiological and instrumental noises that affects an accurate diagnosis of the disease. An exact understanding of ECG waveform may help in overcoming such issues. Mathematical modeling is efficiently used to understand the pattern of 12-lead ECG and simulate real time ECG’s waveform. Real ECG can be taken as a superposition of bounded functions and this property is a defining feature of almost periodic functions (APF). The proposed model has utilized this characteristic of ECG signals to generate the real time ECG waveform with negligibly small error.