Fetal electrocardiography is one of the most promising procedures of modern electronic fetal surveillance. Fetal Electrocardiogram (FECG) provides evaluative information about a fetus’s heart in its developing stage in the mother’s womb. So monitoring the fetus during pregnancy is very essential for determining several aspects of the mother’s and the fetus’s health. Although non-invasive fetal electrocardiography is getting advanced day by day still the major concern is the availability of fetal data. The lack of seldom occurring problematic circumstances, such as pregnancy with unfavorable results or situations when the heart rates of mother and fetus are similar and experience sudden heart rate fluctuations, is a fundamental driving force behind the simulation of fetal ECG signals. This paper presents the artificial synthesis and mathematical modelling of FECG signals. In our proposed method of mathematical modelling, in order to synthesize FECG-MECG mixture, a cluster of Gaussian kernel functions was used to approximate FECG cycles. Cardiac and noise sources were considered point source dipoles that can be transfigured by rotation and translation.