Phase codification optimization of a pulse radar

In this project, a study about Barker codes and poly-phase codes is done, with the goal to create a search engine, to find a poly-phase sequence with given parameters using Matlab. First of all, the basic concepts to understand the project are explained, what are Barker codes, how they work, their applications, etc. Then, which is the problem that we have, in which way we plan to solve it, and how the applied methods work. In order to make the search engine, a Genetic Algorithm is used, and with an initial random phase sequences, another better ones will be found. Consecutively a minim local algorithm is applied to refine the search, and finally find poly-phase sequences that leads to outputs of the matched filter with peak sidelobe level (PSL) equal to 1. The application of the minim local algorithm is done by a integrated method in Matlab; ”fminunc”. An important fact to take into account is that all the computations will be done with a powerful computer (12 cores) in order to parallelize all the calculations and save a lot of time. In the results part, we will see the poly-phase sequences obtained from the algorithm with a good PSL, the time needed to find each sequence depending on the longitude of the sequence and proving how the time increase exponentially. Finally a comparison between the algorithm time with and without parallelization is made to see the time that can be saved