5.38. An ideal lowpass digital filter has the frequency function H(N) given by 1, 0 s |2| < H(0) 0, < |A| < = (a) Determine the unit-pulse response h[n] of the filter. (b) Compute the output response y[n] of the filter when the input x[n] is given by (i) x[n] = cos(rn/8), n = 0, ±1, ±2,... (ii) x[n] = cos(3rn/4) + cos(#n/16), n = 0, ±1, ±2,...
5.38. An ideal lowpass digital filter has the frequency function H(N) given by 1, 0 s |2| < H(0) 0, < |A| < = (a) Determine the unit-pulse response h[n] of the filter. (b) Compute the output response y[n] of the filter when the input x[n] is given by (i) x[n] = cos(rn/8), n = 0, ±1, ±2,... (ii) x[n] = cos(3rn/4) + cos(#n/16), n = 0, ±1, ±2,...
Introductory Circuit Analysis (13th Edition)
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Part (b), (i) and (ii) only please!
![5.38. An ideal lowpass digital filter has the frequency function H(N) given by
1, 0 s |2| <
H(0)
0, < |A| < =
(a) Determine the unit-pulse response h[n] of the filter.
(b) Compute the output response y[n] of the filter when the input x[n] is given by
(i) x[n] = cos(rn/8), n = 0, ±1, ±2,...
(ii) x[n] = cos(3rn/4) + cos(#n/16), n = 0, ±1, ±2,...](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F50f8516f-ca69-4754-af99-d30dbf47eb66%2Fe1dee30c-b29e-489f-a51e-2a4d108e11e1%2F1wr884k_processed.png&w=3840&q=75)
Transcribed Image Text:5.38. An ideal lowpass digital filter has the frequency function H(N) given by
1, 0 s |2| <
H(0)
0, < |A| < =
(a) Determine the unit-pulse response h[n] of the filter.
(b) Compute the output response y[n] of the filter when the input x[n] is given by
(i) x[n] = cos(rn/8), n = 0, ±1, ±2,...
(ii) x[n] = cos(3rn/4) + cos(#n/16), n = 0, ±1, ±2,...
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