Signal Flow Graphs Examples

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Lecture On Signal Flow Graph

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Presentation transcript:

Signal Flow Graphs Examples TE-2010- Sec: BS S. M. Umar Talha Special Thanks to: Dr. S. Saad Azhar Ali

Example

Forward paths P1

Forward paths P2

Forward paths P3

Loops

Loops

2 Non Touching loops

Other 2 Non touching Loops L2L4=(A43A34) (A65A56) L2L5=(A43A34) (A76A67) L2L6=(A43A34) (A77) L2L8=(A43A34) (A65A76A57) L3L5=(A54A45) (A76A67) L3L8=(A54A45) (A65A76A57) L4L7= (A65A56) (A42A34A32) L4L6= (A65A56) (A77) L5L7= (A76A67) (A42A34A32)

3 Non Touching Loops

3 Non Touching Loops

∆ ∆=1-ΣiLi + (L1L3+ L1L4+L1L5+L1L6+L1L8+L2L4+ L2L5+L2L6+L2L8+L3L5+L3L8+ L4L7+ L4L6+ L5L7) – (L1L3L5 + L1L4L6 + L2L4L6 + L4L6L7)

∆i ∆1 = ∆3 = 1 ∆2 = 1- (L1+L3+L5) + (L2L4)