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MASON’S RULE
1.
2. Signal flow graphs are an alternative to block
diagrams.
Unlike block diagrams which consist of blocks,
signals , summing junction and pickoff points a
signal flow graph consist only of branches and
nodes .
Branches represent systems.(i.e. G(s) )
Nodes represent signals . (it can be any signal i.e.
C(s),V(s)……etc.
3. A system in a signal flow diagram is represented by a
line with an arrow showing the direction of signal
flow through the system.
Adjacent to line we write transfer function.
A signal is a node with the signals name written
adjacent to the node.
Each signal is sum of signals flowing to it.
In summing negative signals we associate negative
sign with the system not with a summing.
In each case we will first convert the signals to nodes
and then interconnect the nodes with system
branches.
4. 1. System:
3. Interconnection of system
and signal
2. Signal:
Here each signal is sum of signals
flowing into it. So
V(s)=R1(s)G1(s)-R2(s)G2(s) +
R3(s)G3(s).
C1(s)= V(s)G4(s)=R1(s)G1(s)G4(s)-
R2(s)G2(s)G4(s)+R3(s)G3(s)G4(s)
C2(s)=V(s)G5(s)=R1(s)G1(s)G5(s)-
R2(s)G2(s)G5(s)+R3(s)G3(s)G5(s)
C3(s)=-R1(s)G1(s)G6(s)+R2(s)G2(s)
G6(s)-R3(s)G3(s)G6(s)
G(s)
V(s)
C1(s)
C2(s)
C3(s)
R1(s)
R2(s)
R3(s)
G1(s)
G3(s)
G4(s)
-G6(s)
-G2(s) G5(s)
V(s)