Match b and a system representation to its corresponding difference equation
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![Match b and a system representation to its corresponding difference equation
y[n] = -1.46x[n] - 3.53x[n-1]
+ 3.93x[n-2] - 2.86y[n-1] -
4.1y[n-2] -0.65y[n-3]
y[n] = -1.46x[n] - 3.53x[n-1]
+ 3.93x[n-2] + 2.86y[n-1] +
4.1y[n-2] + 0.65y[n-3]
y[n] = 1.46x[n] + 3.53x[n-1]
- 3.93x[n-2] + 2.86y[n-1] +
4.1y[n-2] + 0.65y[n-3]
y[n] = -1.46x[n] - 3.53x[n-1]
- 3.93x[n-2] + 2.86y[n-1] +
4.1y[n-2] + 0.65y[n-3]
y[n] = 1.46x[n] + 3.53x[n-1]
- 3.93x[n-2] - 2.86y[n-1] -
4.1y[n-2] -0.65y[n-3]
1.
2.
3.
4.
5.
b = [-1.46 -3.53 3.93]; a = [1 2.86
4.1 0.65]
b = [-1.46 -3.53 -3.93]; a = [1 -2.86
-4.1 -0.65]
b = [-1.46 -3.53 3.93]; a = [1 -2.86
-4.1 -0.65]
b = [1.46 3.53 -3.93]; a = [1 2.86
4.1 0.65]
b = [1.46 3.53 -3.93]; a = [1 -2.86
-4.1 -0.65]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5e3acd95-e354-4ee6-a46d-027a2e7dd951%2Fdbaf8f90-4658-451e-bd75-04bd31621af5%2Feluill8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Match b and a system representation to its corresponding difference equation
y[n] = -1.46x[n] - 3.53x[n-1]
+ 3.93x[n-2] - 2.86y[n-1] -
4.1y[n-2] -0.65y[n-3]
y[n] = -1.46x[n] - 3.53x[n-1]
+ 3.93x[n-2] + 2.86y[n-1] +
4.1y[n-2] + 0.65y[n-3]
y[n] = 1.46x[n] + 3.53x[n-1]
- 3.93x[n-2] + 2.86y[n-1] +
4.1y[n-2] + 0.65y[n-3]
y[n] = -1.46x[n] - 3.53x[n-1]
- 3.93x[n-2] + 2.86y[n-1] +
4.1y[n-2] + 0.65y[n-3]
y[n] = 1.46x[n] + 3.53x[n-1]
- 3.93x[n-2] - 2.86y[n-1] -
4.1y[n-2] -0.65y[n-3]
1.
2.
3.
4.
5.
b = [-1.46 -3.53 3.93]; a = [1 2.86
4.1 0.65]
b = [-1.46 -3.53 -3.93]; a = [1 -2.86
-4.1 -0.65]
b = [-1.46 -3.53 3.93]; a = [1 -2.86
-4.1 -0.65]
b = [1.46 3.53 -3.93]; a = [1 2.86
4.1 0.65]
b = [1.46 3.53 -3.93]; a = [1 -2.86
-4.1 -0.65]
Expert Solution
Step 1Writing the coefficients.
In first difference equation coefficients are as follows:
-1.46,-3.53,3.93,-2.86,-4.1,-0.65
Hence b= [-1.46 -3.53 3.93]; a=[1 -2.86 -4.1 -0.65] option 3
In second difference equation coefficients are as follows:
-1.46,-3.53,3.93,2.86,4.1,0.65
Hence b= [-1.46 -3.53 3.93]; a=[1 2.86 4.1 0.65] option 1
In third difference equation coefficients are as follows:
1.46, 3.53, -3.93, 2.86, 4.1, 0.65
Hence b= [1.46 3.53 -3.93]; a=[1 2.86 4.1 0.65] option 4
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