(b) x[n] = (3)¯"u[-n − 1]

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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5.21 SOLVE ONLY b and h  FOURIER ( NEED NEAT HANDWRITTEN SOLUTION ONLY OTHERWISE DOWNVOTE).

5.21. Compute the Fourier transform of each of the following signals:
(a) x[n]
u[n 2]u[n - 6]
(b) x[n]
(c) x[n] =
(½)¯"u[−n − 1]
()u[-n − 2]
2" sin(n)u[-n]
(d) x[n]
=
(e) x[n] = (½)¹¹¹ cos((n − 1))
(f) x[n]
n, -3 ≤ n ≤ 3
otherwise
0,
(g) x[n]
sin(n) + cos(n)
(h) x[n] = sin(³n) + cos(n)
—
-
-
(i) x[n] = x[n − 6], and x[n] = u[n] − u[n − 5] for 0 ≤ n ≤ 5
(j) _x[n] = (n − 1)({})"}
=
=
=
{
-
Transcribed Image Text:5.21. Compute the Fourier transform of each of the following signals: (a) x[n] u[n 2]u[n - 6] (b) x[n] (c) x[n] = (½)¯"u[−n − 1] ()u[-n − 2] 2" sin(n)u[-n] (d) x[n] = (e) x[n] = (½)¹¹¹ cos((n − 1)) (f) x[n] n, -3 ≤ n ≤ 3 otherwise 0, (g) x[n] sin(n) + cos(n) (h) x[n] = sin(³n) + cos(n) — - - (i) x[n] = x[n − 6], and x[n] = u[n] − u[n − 5] for 0 ≤ n ≤ 5 (j) _x[n] = (n − 1)({})"} = = = { -
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