2 is stable / unstable. Box the right 1 (x) An LTI system with H(s) = %3D answer.

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Signals and Systems

(i) The exponential Fourier series coefficient ar of the impulse train 8(t – 5n) is
n=-00
(a) 5
(b) 0.2
(c) 5k
k
(d)
(ii) The periodic signal a(t) with wo
(b) ao = 2+e-j6
3 has ao = 2. The periodic signal x(t – 2) has
=
%3D
(a) ao = 2e-j6
(c) ao = 2e16k
(d) 2
(iii) An LTI system has H(s)
Let a = tan-1. The output for an input cos 3t is
8+ 4
(b) 5 cos(3t – a)
(a) cos(3t – a)
(c) 4 cos(3t + 3a)
(d) 2 cos(t - 3a)
(iv) If x(t) = sin () for 0<t < 3 and is periodic with T = 3, then
(a) ar's are real. (b) a,'s do not exist. (c) a = 0 for odd k (d) ar's are imaginary.
(v) Let r(t) be real and odd function of t, its Fourier transform X(jw) is imaginary and even function
of w. True / False. Box the right answer.
(vi) The Fourier spectrum of the signal a(t) = 2+ cos 10t has
(a) two impulses (b) four impulses (c) three impulses (d) infinite number of impulses
(vii) The ROC of Laplace transform of r(t) = e
= e-3t|
is
(a) a strip of finite width
(b) left-sided
(c) right-sided
(d) entire s-plane
(viii) A right-sided signal r(t) has a Laplace transform X(s) whose ROC is o>-3. Then
(a) X(jw) does not exist (b) X(jw) exists (c) s = 3 is a pole (d) s = 3 cannot be a zero
1
Then
3
(ix) A right-sided signal r(t) has a Laplace transform X(s) =
%3D
1
(a) / x(t)dt = o (b) a(x) = 0 (c) x(0) = -; (d) x(-3) = 1
2
(x) An LTI system with H(s)
is stable / unstable. Box the right answer.
1
1
Transcribed Image Text:(i) The exponential Fourier series coefficient ar of the impulse train 8(t – 5n) is n=-00 (a) 5 (b) 0.2 (c) 5k k (d) (ii) The periodic signal a(t) with wo (b) ao = 2+e-j6 3 has ao = 2. The periodic signal x(t – 2) has = %3D (a) ao = 2e-j6 (c) ao = 2e16k (d) 2 (iii) An LTI system has H(s) Let a = tan-1. The output for an input cos 3t is 8+ 4 (b) 5 cos(3t – a) (a) cos(3t – a) (c) 4 cos(3t + 3a) (d) 2 cos(t - 3a) (iv) If x(t) = sin () for 0<t < 3 and is periodic with T = 3, then (a) ar's are real. (b) a,'s do not exist. (c) a = 0 for odd k (d) ar's are imaginary. (v) Let r(t) be real and odd function of t, its Fourier transform X(jw) is imaginary and even function of w. True / False. Box the right answer. (vi) The Fourier spectrum of the signal a(t) = 2+ cos 10t has (a) two impulses (b) four impulses (c) three impulses (d) infinite number of impulses (vii) The ROC of Laplace transform of r(t) = e = e-3t| is (a) a strip of finite width (b) left-sided (c) right-sided (d) entire s-plane (viii) A right-sided signal r(t) has a Laplace transform X(s) whose ROC is o>-3. Then (a) X(jw) does not exist (b) X(jw) exists (c) s = 3 is a pole (d) s = 3 cannot be a zero 1 Then 3 (ix) A right-sided signal r(t) has a Laplace transform X(s) = %3D 1 (a) / x(t)dt = o (b) a(x) = 0 (c) x(0) = -; (d) x(-3) = 1 2 (x) An LTI system with H(s) is stable / unstable. Box the right answer. 1 1
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