DIFFERENCE EQUATION ( NEED ONLY HANDWRITTEN SOLUTION PLEASE OTHERWI

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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DIFFERENCE EQUATION ( NEED ONLY HANDWRITTEN SOLUTION PLEASE OTHERWISE DOWNVOTE)

Find the difference equation that describes the causal LTI system
represented by the following Direct Form II block diagram.
2
x[n]
←
-1
none of the above
4
-
D
D
X
3
X
X
O 2y[n] = x[n] - x[n − 1] + 4x[n - 2] + 3y[n 1] - 2y[n - 2]
O y[n] = x[n] - x[n − 1] + 4x[n − 2] + 3y[n − 1] − 2y[n − 2]
-
(+
O y[n] = 2x[n] + 3x[n 1] - 2x[n-2] - y[n 1] + 4y[n - 2]
○ y[n] = 2x[n] + 3x[n − 1] − 2x[n − 2] + y[n − 1] − 4y[n — 2]
○ y[n] = 2x[n] − 3x[n − 1] + 2x[n − 2] + y[n − 1] − 4y[n — 2]
→ y[n]
Transcribed Image Text:Find the difference equation that describes the causal LTI system represented by the following Direct Form II block diagram. 2 x[n] ← -1 none of the above 4 - D D X 3 X X O 2y[n] = x[n] - x[n − 1] + 4x[n - 2] + 3y[n 1] - 2y[n - 2] O y[n] = x[n] - x[n − 1] + 4x[n − 2] + 3y[n − 1] − 2y[n − 2] - (+ O y[n] = 2x[n] + 3x[n 1] - 2x[n-2] - y[n 1] + 4y[n - 2] ○ y[n] = 2x[n] + 3x[n − 1] − 2x[n − 2] + y[n − 1] − 4y[n — 2] ○ y[n] = 2x[n] − 3x[n − 1] + 2x[n − 2] + y[n − 1] − 4y[n — 2] → y[n]
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