Block Diagram Operators

There are several fundamental block-diagram operators:

$$\begin{tabular}{\vert c\vert l\vert} \hline \texttt{:} & combine block diagrams in \emph{series}\\ \texttt{,} & combine block diagrams in \emph{parallel}\\ \texttt{<:} & \emph{split:} signal fan-out\\ \texttt{:>} & \emph{merge:} signal fan-in (with summation)\\ \texttt{\~} & \emph{recursive:} specify \emph{feedback}\\ \hline \end{tabular}$$

These will be illustrated in the examples below.