As the area of GNSS is expanding, more signals at new frequencies become available. This leads to new challenges in the antenna design for GNSS receivers. New emerging applications, such as multistatic GNSS radar and GNSS antenna array receivers, also put entirely new demands on the antennas. The goal of this research effort will be to explore the future antenna design for GNSS. A particular focus will be on analyzing and mitigating the effect of a non-ideal antenna (e.g. antenna array with high coupling) or an antenna working in a challenging environment (multistatic radar, arctic conditions, etc.).