System 1: - - y[n] +1.6y[n-1] + 2.28y[n-2] + 1.325y[n-3] +0.68y[n-4] = 0.06x[n] 0.19x[n-1]+ 0.27x[n-2] -0.26x[n-3] +0.12x[n-4] Find impulse response of this system and plot. The above system can be realized as a cascade of two second order systems as shown below System 2: yi[n] +0.9 yı[n-1] +0.8 yı[n-2] = 0.3x[n] -0.2x[n-1] +0.4x[n-2] y2[n] +0.7 y2[n-1]+0.85 y2[n-2] = 0.2 yı[n] - 0.5 yı[n-1] +0.3 yı[n-2] Find impulse response of each of these two second order system and plot. Verify that the cascaded impulse response of system 2 matches with that of system 1. Use MATLAB or other software such as Python.
System 1: - - y[n] +1.6y[n-1] + 2.28y[n-2] + 1.325y[n-3] +0.68y[n-4] = 0.06x[n] 0.19x[n-1]+ 0.27x[n-2] -0.26x[n-3] +0.12x[n-4] Find impulse response of this system and plot. The above system can be realized as a cascade of two second order systems as shown below System 2: yi[n] +0.9 yı[n-1] +0.8 yı[n-2] = 0.3x[n] -0.2x[n-1] +0.4x[n-2] y2[n] +0.7 y2[n-1]+0.85 y2[n-2] = 0.2 yı[n] - 0.5 yı[n-1] +0.3 yı[n-2] Find impulse response of each of these two second order system and plot. Verify that the cascaded impulse response of system 2 matches with that of system 1. Use MATLAB or other software such as Python.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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not use ai please
![System 1:
-
-
y[n] +1.6y[n-1] + 2.28y[n-2] + 1.325y[n-3] +0.68y[n-4] = 0.06x[n] 0.19x[n-1]+
0.27x[n-2] -0.26x[n-3] +0.12x[n-4]
Find impulse response of this system and plot.
The above system can be realized as a cascade of two second order systems as shown below
System 2:
yi[n] +0.9 yı[n-1] +0.8 yı[n-2] = 0.3x[n] -0.2x[n-1] +0.4x[n-2]
y2[n] +0.7 y2[n-1]+0.85 y2[n-2] = 0.2 yı[n] - 0.5 yı[n-1] +0.3 yı[n-2]
Find impulse response of each of these two second order system and plot.
Verify that the cascaded impulse response of system 2 matches with that of system 1.
Use MATLAB or other software such as Python.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3e80098a-9025-4986-af08-62b93681d297%2F6d6e0734-06ce-44b1-8c24-e82090be7e77%2Fydit947_processed.jpeg&w=3840&q=75)
Transcribed Image Text:System 1:
-
-
y[n] +1.6y[n-1] + 2.28y[n-2] + 1.325y[n-3] +0.68y[n-4] = 0.06x[n] 0.19x[n-1]+
0.27x[n-2] -0.26x[n-3] +0.12x[n-4]
Find impulse response of this system and plot.
The above system can be realized as a cascade of two second order systems as shown below
System 2:
yi[n] +0.9 yı[n-1] +0.8 yı[n-2] = 0.3x[n] -0.2x[n-1] +0.4x[n-2]
y2[n] +0.7 y2[n-1]+0.85 y2[n-2] = 0.2 yı[n] - 0.5 yı[n-1] +0.3 yı[n-2]
Find impulse response of each of these two second order system and plot.
Verify that the cascaded impulse response of system 2 matches with that of system 1.
Use MATLAB or other software such as Python.
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