The aim of this thesis is to present the design of a novel flexible and compact antenna for the microwave brain stroke imaging system. The design consists in defining the optimal antenna geometry and the matching medium thickness in order to guarantee flexibility and matching between the antenna and the head. This goal is achieved by using CST Microwave Studio software in which the scattering parameters were observed. These simulations exploited several models to obtain the best configuration to be used, starting from a simple model up to a complex model. The accomplishment of the specification through the simulation allows to realize the wearable antennas to verify experimentally if they work correctly.