flowgraphs - ECE3050 Masons Flow Graph Formula Ampli f er...

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Unformatted text preview: ECE3050 Masons Flow Graph Formula Ampli f er analysis using superposition is often facilitated by the use of signal F ow graphs. A signal F ow graph, or F ow graph for short, is a graphical representation of a set of linear equations which can be used to write by inspection the solution to the set of equations. For example, consider the set of equations x 2 = Ax 1 + Bx 2 + Cx 5 (1) x 3 = Dx 1 + Ex 2 (2) x 4 = F x 3 + Gx 5 (3) x 5 = Hx 4 (4) x 6 = Ix 3 (5) where x 1 through x 6 are variables and A through I are constants. These equations can be represented graphically as shown in Fig. 1. The graph has a node for each variable with branches connecting the nodes labeled with the constants A through I . The node labeled x 1 is called a source node because it has only outgoing branches. The node labeled x 6 is called a sink node because it has only incoming branches. The path from x 1 to x 2 to x 3 to x 6 is called a forward path because it originates at a source node and terminates at a non-source...
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flowgraphs - ECE3050 Masons Flow Graph Formula Ampli f er...

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