Simulación de Aplicaciones con series trigonométricas de Fourier en sistemas de comunicaciones electrónicas

Abstract

In the first scenario, the objective was to develop an application that would graph Fourier Trigonometric Series of continuous functions and represent graphical functions with a high degree of fidelity without the need for the Internet to execute the necessary processes.

This application was developed and implemented in Python with the SymPy and numpy libraries to use computer calculation. The results displayed by the application are based on fidelity with the theoretical development. In the second current scenario, there has been an immense advance in the field of wireless communications in this world of modern engineering. Today's softwaredefined radio (SDR) technology is an undisputed emerging technology and presents new challenges for communications engineers. The advancement of the SDR system has made significant progress in recent years, making it a substitute for traditional hardware radio architectures where mathematical procedures are required to decode and process radio signals using analog circuitry. Recently, computers have turned out to be powerful enough to do the required mathematical calculations using software.

Therefore, the aim of this research project is to demonstrate that an RTL-SDR-based spectrum analyzer can be used competently as an alternative to the existing hardware spectrum analyzer. This approach will reduce the complexity of the analog hardware system with the greater manageability of software-based filtering and demodulation techniques. As RTL-SDR devices are relatively inexpensive (approximately $ 30) and small in size, this system also offers cost-effectiveness with the provision of portability. An experimental study was carried out with the appropriate conditions to examine the viability and efficiency of the proposed system. Basically this research project presents the implementation, testing of an application for the simulation of Fourier Trigonometric Series and a low-cost software-defined radio based on the Raspberry Pi4 computer, the RTL-SDR radio receiver and the GNU software. Radio. Key issues related to installing and configuring the GNU radio and RTL-SDR drivers on the Raspberry Pi OS are covered. The resulting prototype can demodulate AM and FM signals in the 30MHz to 1.7GHz frequency range and can also fulfill the role of Spectrum Analyzer in demanding applications of moderate sensitivity.