for HERA is an order of magnitude lower than the SKA, its design is optimized specifically for PS measurements allowing for comparable sensitivity [@Pober:2014p35][^10]. However, our 331 antennas telescope is smaller than the larger 547 antennas instrument proposed by these authors, therefore, our design performs more as an intermediate instrument. For HERA, we model the total system temperature as $T_{\rm sys} = 100 + T_{\rm sky}~{\rm K}$.\

-   *SKA:* we mimic the current design brief for the SKA-low Phase 1 instrument outlined in the SKA System Baseline Design document[^11]. Specifically, SKA-low Phase 1 includes a total of 911 35 m antennas stations, with 866 stations normally distributed in radius within a core extending out to a radius of $\sim$2 km and a further 45 stations arranged into three spiral arms each with 15 stations extending to $\sim50$ km. For our SKA design we include only the core stations, as the spiral arms add little to the PS sensitivity. As in @Pober:2014p35, we model the central core of SKA as a hexagon to maximize baseline redundancy, however our core extends out to a radius of $\sim300$m which includes a total of 218 telescope antennas. We then randomly place the telescope antennas 