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in units of Janskys per synthesized beam area.   with $\eta_s$ most important factor being correlator efficiency $\eta_c = \frac{\text{correlator sensitivity}}{\text{sesitivity of a perfect analog correlator having the same } \tau_{acc}}$ (see \cite{sensitivity}).  Thus if we are using x, the antenna diameter, as the optimization variable  the problem we would like to solve is: \begin{equation*}  \begin{aligned}  & \underset{x}{\text{minimize}}  & & f(x) = {\frac{1}{\eta_s \eta_a}}{\frac{T_{sys}}{\sqrt{2 \eta_a}}{\frac{T_{sys}}{\pi x^2 \sqrt{2  \Delta \nu \tau_{acc}}}}\\ & \text{subject to}  & & X_{ij} = M_{ij}, \; (i,j) \in \Omega, \\  &&& X \succeq 0. 
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