C s george lee purdue univ block diagrams signal flow

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: grams & Signal-Flow Graphs ECE382 13 / 31 Signal Flow Graphs - Definitions Loop a loop is a closed path, which originates and terminates on the same node, and along the path no node is met twice. Self-loop is a closed loop consisting of a single branch and single node. Loop gain is the product of the branch transmittances of a loop Forward path is a path from an input node to an output node that does not cross any nodes more than once. Forward path gain is the product of the branch transmittance of a forward path. Nontouching loops loops that do not possess any common nodes. C. S. George Lee (Purdue Univ.) Block Diagrams & Signal-Flow Graphs ECE382 14 / 31 Signal Flow Graph Notation & Definition Example A42 A33 Input node: X1 A21 A54 A32 Output node: X5 X4 X5 X2 A43 X3 X1 Loops: X2 to X3 to X2 (closed loop: L1 ) A23 A44 X3 to X3 and X4 to X4 (self loops: L2 & L3 ) Paths: X1 to X2 to X3 to X4 to X5 (forward path: P1 ) X1 to X2 to X4 to X5 (forward path: P2 ) Loop Gain: X2 X3 X2 : L1 = A32 A23 X3 X3 : L2 = A33 and X4 X4 : L + 3 = A44 Path Gain: X1 X2 X3 X4 X5 : P1 = A21 A32 A43 A54 X1 X2 X4 X5 : P2 = A21 A42 A54 Two non-touching loops: L1 and L2 ; L2 and L3 Two non-touching loop gain: L1 L2 = A32 A23 A33 ; L2 L3 = A33 A44 C. S. George Lee (Purdue Univ.) Block Diagrams &...
View Full Document

This note was uploaded on 02/05/2012 for the course ECE 382 taught by Professor Staff during the Fall '08 term at Purdue.

Ask a homework question - tutors are online