Using the difference equation given below, Compute the theoretical results of the first 10 samples of y(n) using direct substitution and compare it to the result of the filter () function.

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3. Using the difference equation given below, Compute the theoretical results of the
first 10 samples of y(n) using direct substitution and compare it to the result of the
filter () function.
y(n) = 0.7632y(n-1) - 2.0173y(n-2) + 0.9964y(n-3) — 1.4046y(n-4) +
0.3508y(n-5) -0.3144y(n-6) + 0.5610x(n)- 0.5265x(n-1) + 1.8072x(n-2) -
1.0574x(n-3) + 1.8072x(n-4) – 0.5265x(n-5) + 0.5610x(n-6).
Zero initial conditions, x(n) = 5u(n)
Obtain also the first 10 samples of h(n) and use this to solve again y(n) by
convolving h(n) to x(n). Comment on the samples computed.
Transcribed Image Text:3. Using the difference equation given below, Compute the theoretical results of the first 10 samples of y(n) using direct substitution and compare it to the result of the filter () function. y(n) = 0.7632y(n-1) - 2.0173y(n-2) + 0.9964y(n-3) — 1.4046y(n-4) + 0.3508y(n-5) -0.3144y(n-6) + 0.5610x(n)- 0.5265x(n-1) + 1.8072x(n-2) - 1.0574x(n-3) + 1.8072x(n-4) – 0.5265x(n-5) + 0.5610x(n-6). Zero initial conditions, x(n) = 5u(n) Obtain also the first 10 samples of h(n) and use this to solve again y(n) by convolving h(n) to x(n). Comment on the samples computed.
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