\subsection{The Restricted Eigenvalue Condition}

Proving the restricted eigenvalue assumption for correlated measurements is non-trivial. Under reasonable assumptions on the graph parameters, we can show a very crude ${\cal O}(N)$-lower bound for $\gamma_n$ by exploiting only the first set of measurements, where only the source nodes are active. Note that even though we waste a lot of information, we obtain similar asymptotic behavior than previous work.

\subsection{The Irrepresentability Condition}

