Signal flow graph 

A signal flow graph representation of a difference equation is essentially the same as its block diagram representation, except for a few notational differences. The signal flow graph is a network of directed branches which connect at nodes. Connected with each node is a variable or node value. Each branch has the input signal and an output signal. In the linear signal flow graph the output of a branch is a linear transformation (like a constant or a delay shown alongside the branch) of the input to the branch. At times this branch transmittance is unity and not explicitly shown. By the definition, the value at each node in the graph is sum of the outputs of all the branches entering the node.

  The sources nodes have no entering branches and sink nodes have entering branches only.

 

The signal flow graph equivalent to the above structure is shown below. With regard to the "a" and "b" coefficients have arbitrarily taken M = N, but M and N are independent of

each other. In the figure bottom-most right and left nodes are unnecessary.

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