HW04_solutions - EECS 460 Homework#4 Solutions 1(Problem...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
EECS 460 Homework #4 Solutions 1. (Problem 3-10) Use Mason’s Rule to obtain the transfer function from Y 1 (s) to Y 3 (s) as follows: (a) Direct Paths P 1 = G Single Loops L 1 = -GH (b) The direct path and loop gain is the same (apply Mason’s Rule, and you will get the same result). Therefore, the two are equivalent. Alternatively, you could use block diagram reduction to show that the two systems are equivalent. Draw the block diagram from the signal flow graph in (a) as follows: GH G Y 1 Y 2 Y 3 _ Reduce the diagram to a final feedback form as follows: H G Y 1 Y 2 Y 3 _ So, the block diagram can be redrawn as: H G Y 1 Y 2 Y 3 _ Drawing the block diagram from the signal flow graph in (b) you obtain the same feedback block diagram. Therefore the two systems are equivalent. ## 3 1 1 () () 1 GH Ys G Y s GH ∆= + ⇒= +
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
2. (Problem 3-11) Using Mason’s Rule, you obtain different ’s for the two signal flow graphs. For part (a), 11 22 33 1212 1313 2323 123123 1 GH GH GH GGHH GGGHHH ∆= + + + + + + + , whereas for the signal flow graph in part (b) 1 1 2 2 3 3 13 1 3 1 + + + + .
Background image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 04/13/2010 for the course CS 235 taught by Professor Sabnis during the Spring '10 term at Punjab Engineering College.

Page1 / 7

HW04_solutions - EECS 460 Homework#4 Solutions 1(Problem...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online