Reconstruction of the heart rate signal using the dominant frequencies

Mathematical models are the representation of a system by means of mathematical equations and expressions or statistical distributions of random values that allow the human to obtain scientific knowledge in order to represent some phenomenon of nature. The use, study and application of filters for the experimental analysis of signals has increased over the years and offers several advantages, for this reason it is required that the theoretical analyzes be precise and efficient. The models can make concrete predictions for a large amount of numerical data, this is how a model plays a very important role in theoretical analysis, but it can also be compared with a computational analysis and evaluate results. The implementation and verification of mathematical models in different areas have generated excellent results, in this work the study and analysis of the mathematical model of a moving average filter is shown, the objective of this filter is to mathematically show its filtering function and for this it is exemplified a case of cardiac frequency, where also the purpose of the filter is to obtain a pure and improved signal from a signal with noise, after which it is also computationally verified and the results are evaluated.