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Electronics and Communication Engineering - Signals and Systems

Exercise : Signals and Systems - Section 2
46.

Assertion (A): For the function shown in figure
Laplace transform is

Reason (R):

Both A and R are correct and R is correct explanation of A
Both A and R are correct but R is not correct explanation of A
A is true, R is false
A is false, R is true
Answer: Option
Explanation:

A follows from the theorem in R.

47.
The energy of constant amplitude complex valued exponential sequence is ...
A2
∞
1
0
Answer: Option
Explanation:

.

48.
The value of Integral δ(t) sin t dt is equal to
zero
1
infinite
undefined
Answer: Option
Explanation:

Because δ(t) is defined at t = 0 only.

49.

Assertion (A): If

Reason (R):

Both A and R are correct and R is correct explanation of A
Both A and R are correct but R is not correct explanation of A
A is true, R is false
A is false, R is true
Answer: Option
Explanation:

.

50.
A rectangular pulse train s(t) is shown in figure is convolved with the signal cos2(4p x 103t). The convolved signal will be a
DC
12 kHZ sinusoidal
8 kHZ sinusoidal
14 kHZ sinusoidal
Answer: Option
Explanation:

First find the Fourier series of given pulse that is

And fm from (2) ⇒ 4 kHz

When we multiply x1(t) and x2(t - t)

We get term like fs ± fm, 2fs ± fm, 3fs ± fm, 4fs ± fm and fs = 10 kHz fm = 4kHz

Hence from above relation (10+4) kHz ⇒ 14 kHz signal will be present in x(t).

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