A mathematical model for ECG waveform using rational Bézier curves and Bernstein polynomials

Abstract

This paper presents a mathematical model for ECG waveform using Rational Bezier curves and Bernstein polynomials. There are three mathematical models; the Bernstein polynomials model, the Bézier-Bernstein model and the Rational Bézier-Bernstein model. All mathematical models can generate the ECG waveform which is similar to the normal ECG waveform. Moreover, all mathematical models can simulate a normal ECG waveform as well. As the results, the Rational Bezier-Bernstein model is a simple form, easy to make a circuit and lower cost in the implementation of the ECG waveform.