Question 1 a) Find the frequency response for the following DE and evaluate it using Matlab (Plot magnitude and phase of the frequency response). - y[n] = 2x[n] + 4x[n − 1] + 2x[n - 2] b) Calculate output y[n] for the following input x[n] using filter function in Matlab. x[n] 5+2 cos 4 (+7) 2π n+1)+3cos cos 3 (27 7n - 17) c) What is the overall frequency response for the cascade of two filters? (Use block diagrams to answer)

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Question 1
a) Find the frequency response for the following DE and evaluate it using Matlab (Plot magnitude
and phase of the frequency response).
y[n] = 2x[n] + 4x[n − 1] + 2x[n − 2]
b) Calculate output y[n] for the following input x[n] using filter function in Matlab.
π
2π
π
=√(√√ ₁ + ² ) +
(²/77₁-77)
3
x[n] = 5 + 2 cos (n +
4
+ 3cos cos
c) What is the overall frequency response for the cascade of two filters? (Use block diagrams to
answer)
Transcribed Image Text:Question 1 a) Find the frequency response for the following DE and evaluate it using Matlab (Plot magnitude and phase of the frequency response). y[n] = 2x[n] + 4x[n − 1] + 2x[n − 2] b) Calculate output y[n] for the following input x[n] using filter function in Matlab. π 2π π =√(√√ ₁ + ² ) + (²/77₁-77) 3 x[n] = 5 + 2 cos (n + 4 + 3cos cos c) What is the overall frequency response for the cascade of two filters? (Use block diagrams to answer)
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