This thesis aims to further study the optimal algorithm for data acquisition in the far field region of an electromagnetic field radiated by an antenna. This was done as a part of a larger project where the aim was to design and test an antenna measurement setup, which utilises a robotic arm to perform the measurements. Various sampling algorithms were implemented and tested on simulated analytic field patterns, performed using MATLAB. The sampling grids used in simulations were the equiangular, Fibonacci and Gauss-Legendre grid. The performance of these algorithms were evaluated, using the number of samples as a way to measure their efficiency and the calculated directivity as a way to measure the accuracy. Then, they were validated using measurements made using rectangular horn antennas in combination with the measurement setup utilising the robotic arm. Then from these measurements a visualisation of the radiation patterns were generated. In the end the results verify that the proposed algorithms will work as an efficient and accurate algorithm for data acquisition and will provide a valid sampling method to be used in the final measurement setup. The Gauss-Legendre grid proved more efficient for measuring the field and calculating the directivity, while maintaining the same levels of accuracy as the equiangular grid.