Desarrollo de un Simulador Web Interactivo Para la Reconstrucción Grafica de Funciones Periódicas y Señales Usando Análisis de Fourier

Abstract

The mathematical foundation of electric signal analysis is the Fourier Series. This approach involves significant analytical complexity, becoming a real challenge for first- and second-year students in engineering and science programs. For this reason, this work presents an interactive tool designed to support practical learning of these concepts. The development of this simulator is described, highlighting the agile methodology used, which incorporates elements from Scrum and Kanban frameworks. Python and the Django web framework were employed to implement the proposed simulator, which enables graphical analysis from two perspectives: reconstruction of signals from parameters defined in the time domain and from parameters in the frequency domain. Technical results obtained during simulation trials and validation stages are presented, evaluating both technical performance and user experience. These results suggest that the simulator facilitates intuitive comprehension of spectral analysis and has the potential to become a valuable resource for signal and systems education by graphically synthesizing the inherent mathematical complexity of Fourier analysis.