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The signal flow graph shown in the given figure has

The signal flow graph shown in the given figure has Correct Answer Three forward paths and two non-touching loops

Concept:

Signal Flow Graph

The signal flow graph is a simplified version of the  block diagram.

  • Branches and nodes delete the blocks of the transfer function, summing symbols, and take-off places.
  • In a signal flow graph, the transfer function is referred to as transmittance.
  • A graphical representation of algebraic equations is a signal flow graph.

The loops are depicted below:

[ alt="F1 nakshtra 13-12-21 Savita D1" src="//storage.googleapis.com/tb-img/production/21/12/F1_nakshtra_13-12-21_Savita_D1.png" style="width: 376px; height: 145px;">

[ alt="F1 nakshtra 13-12-21 Savita D2" src="//storage.googleapis.com/tb-img/production/21/12/F1_nakshtra_13-12-21_Savita_D2.png" style="width: 376px; height: 145px;">

[ alt="F1 nakshtra 13-12-21 Savita D3" src="//storage.googleapis.com/tb-img/production/21/12/F1_nakshtra_13-12-21_Savita_D3.png" style="width: 372px; height: 144px;">

Both the loops are non-touching here.

3 forward paths and 2 non-touching loops and 3 -touching loops are present in this SFG.

Key Terms:

Forward Path: It is a path from input to output.

Loop: It is a path whcih terminates on the same node where it is started.

Non Touching Loops: If there is no common node between 2 or more loops, then it is called non touching loops.

Input Node: The node thar have only outgoing branches

Output node: The node that have only incoming branches.

Chain/Link node: The node which have both incoming and outgoing branch.

NOTE: While selecting a forward path or loop, each node should be touched only once.

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