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 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.
 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.
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)
C(s)
Cascaded form
Parallel form
Feedback form
Conversion into signal flow
graphs:
Different forms of Block
Diagrams:

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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)
  • 5. C(s) Cascaded form Parallel form Feedback form Conversion into signal flow graphs: Different forms of Block Diagrams: