6. Let x(t) be periodic with period T, = 6 and such that %3D 1, 1< |t| < 3; x(t) (-2, |t| < 1 (i) Sketch x(t) over [-3 ,3] and verify that X, = 0. %3D (ii) Sketch the signal y(t)which has the same period and is such that 1, l-j(nk/3)-1Xg, k = 0 k + 0 (There is no need to derive X.)

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Author:Robert L. Boylestad
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6. Let x(t) be periodic with period To = 6 and such that
x(t) = { 1, 1< It| < 3;
|t| < 1
-2,
(i) Sketch x(t) over [-3,3] and verify that X, = 0.
(ii) Sketch the signal y(t)which has the same period and is such that
k = 0
k + 0
1,
j (πk/3) 1 X,
(There is no need to derive X.)
Transcribed Image Text:6. Let x(t) be periodic with period To = 6 and such that x(t) = { 1, 1< It| < 3; |t| < 1 -2, (i) Sketch x(t) over [-3,3] and verify that X, = 0. (ii) Sketch the signal y(t)which has the same period and is such that k = 0 k + 0 1, j (πk/3) 1 X, (There is no need to derive X.)
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