Evaluación y comparación de las técnicas de posicionamiento en 1D y 2D basadas en algoritmos para la resolución de la dirección de arribo (DOA).

Abstract

In the present certification work, the evaluation and comparison of positioning techniques in 1D and 2D based on algorithms for the direction of arrival (DOA) resolution was carried out. For this purpose, the techniques of beamforming and techniques based on subspaces were implemented, the first involves the Bartlett and Capon algorithms, and the second involves the MUSIC and ESPRIT algorithms; for the corresponding evaluation and comparison of these algorithms, scenarios were used within a simulated environment created through Matlab's GUIDE tool. There were seven proposed scenarios that started from a baseline scenario that consisted of seven parameters of data entry, among them the number of elements of an arrangement of antennas, the number of snapshots, the distance between the elements and the signal-to-noise ratio ( SNR) of the respective incident signals generated to estimate its DOA, among others. The creation of the scenarios was subject to the variation of the aforementioned parameters, each scenario varied a particular parameter keeping the other constants. In the estimation of the 1D positioning a uniform linear array (ULA) was used and for the 2D positioning a MIMO channel was implemented in which both the transmitter arrangement and the receiving arrangement were taken into account, being in each case an ULA arrangement that had the same number of elements in their respective arrangements. When the algorithms were subjected to each scenario, a spectral estimation of the 1D and 2D positioning was obtained, the ESPRIT algorithm being the only one in not presenting a spectral estimation of its results, but rather, they were specific data through the resolution of equations. In the end it was necessary that the techniques based on subspaces, were those that showed to have better resolution capacity regarding its accuracy in most of the scenarios. To know more about the precision of the techniques, it is suggested to experiment with joint variations of the parameters.