Q12] Assume that for the FT pair x(t) + --- FT X(f), the FT is given by the triangular function X (1m) = A () = {" lol l이 < 3 3 0. elsewhere. Using the FT properties, derive the FT for the following set of functions: (d) x²(1); (a) e-jt x(21); (b) 1²x(1); (e) x(t) * x(1); (c)(t+5): (f) cos(@ot)x(t) with wo = 3/2, 3, and 6. %3D

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Q12] Assume that for the FT pair x(t)
---FT X(f), the FT is given by the triangular
function
lw| < 3
X (@) = A
0.
elsewhere.
Using the FT properties, derive the FT for the following set of functions:
(a) e-i51 x(2t);
(d) x (t);
(b) 1²x(1);
(e) x(t) * x(1);
(c) (1 +5):
(f) cos(@ot)x(t) with wo = 3/2, 3, and 6.
Transcribed Image Text:Q12] Assume that for the FT pair x(t) ---FT X(f), the FT is given by the triangular function lw| < 3 X (@) = A 0. elsewhere. Using the FT properties, derive the FT for the following set of functions: (a) e-i51 x(2t); (d) x (t); (b) 1²x(1); (e) x(t) * x(1); (c) (1 +5): (f) cos(@ot)x(t) with wo = 3/2, 3, and 6.
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