La transformada discreta de ondícula y su aplicación numérica en señales de electrocardiogramas

Abstract

The processing of non-stationary signals, as seen in the study of electrocardiogram signals, is of great importance in the field of medicine, since it facilitates the detection and monitoring of cardiac diseases such as: arrhythmia, artery obstruction, heart damage, heart failure, among others. In this work, the mathematical theory behind this signal analysis will be presented, showing the importance of the Fourier transform and its variation, the Fourier transform in short time. In addition, the discrete wavelet transform will be presented as an optimal tool for the processing of non-stationary signals. In addition to this, the numerical application corresponding to this theory will be performed in Matlab to illustrate the positive impact of this transform in the analysis of electrocardiogram signals.