Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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Write the code using Matlab
![Given the DSP system:
y[n] = 2x[n] - 4x[n-1] - 0.5y[n-1] - y[n-2]
(a) With initial conditions y(-2) = 1, y(-1) = 0, x(-1) = -1, and the input x[n] =
(0.8)"u[n], compute the system response y[n] for 20 samples.
(b) With ZERO initial conditions, and the input x[n] = (0.8)"u[n], compute the system
response y[n] for 20 samples.](https://content.bartleby.com/qna-images/question/32e74b59-b514-4d0a-92d3-f5954a208baf/b031a674-824c-426f-a198-57b65898e6f6/wk6plu9_processed.jpeg)
Transcribed Image Text:Given the DSP system:
y[n] = 2x[n] - 4x[n-1] - 0.5y[n-1] - y[n-2]
(a) With initial conditions y(-2) = 1, y(-1) = 0, x(-1) = -1, and the input x[n] =
(0.8)"u[n], compute the system response y[n] for 20 samples.
(b) With ZERO initial conditions, and the input x[n] = (0.8)"u[n], compute the system
response y[n] for 20 samples.
Expert Solution
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Step 1
Matlab code:
(a)
n = 0:1:20;
x_n = ((0.8).^n).*(n>=0);
y_n = [1 0];
k = 3;
for i=0:20
if i == 0
y_n(k) = 2*x_n(i+1) + 4 - 0.5*y_n(k-1) - y_n(k-2);
else
y_n(k) = 2*x_n(i+1) - 4*x_n(i) - 0.5*y_n(k-1) - y_n(k-2);
end
k = k+1;
end
stem(y_n)
title("Y[n] with initial conditions # 0")
disp(y_n)
Values :
y[n] = [1.0000 0 5.0000 -4.9000 -4.4700 5.5990 0.4417 -6.8029 2.1733 5.0871 -5.2202 -2.8797 6.3379 -0.5470 -6.2705 3.5173 4.3799 -5.8129 -1.5580 6.5243 -1.7582 -5.6884 4.5678]
Output:
Step by stepSolved in 2 steps with 2 images
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