Geometric interpretation of QRS complexes in ECG signals by rational functions

Abstract. In this paper we present a mathematical model for QRS complexes with rational functions. We investigated the geometric properties of the QRS complexes based on this model. Among others, we explored the connection between the fiducial points and parameters of the rational transform, via the roots and the local extrema of the model curve. The importance of this model is twofold. On the first hand, the model provides an analytic way to determine medical descriptors of the QRS complex. On the other hand, it makes possible to synthesize heartbeats from an analytic model that fits the given descriptors.