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Electronics and Communication Engineering - Signals and Systems

Exercise : Signals and Systems - Section 1
36.
The signal defined by the equations f(t) = 0 for t < 0, f(t) = E for 0 ≤ t ≤ a and f(t) = 0 for t > a is
a step function
a pulse function
a shifted step function originating at t = a
none of the above
Answer: Option
Explanation:

It is a pulse lasting for t = a.

37.
Inverse Laplace transform of is
2 exp (- 2.5 t) cosh (0.5 t)
exp (- 2 t) + exp (- 3 t)
2 exp (- 2.5 t) sinh (0.5 t)
2 exp (- 2.5 t) cos 0.5 t
Answer: Option
Explanation:

f(t) = e-2t + e-3t.

38.
Two function g1(t) and g2(t) with correlation of 6 has average power of 4 and 5 respectively. The power of g1(t) + g2(t) is
9
21
3
15
Answer: Option
Explanation:

Power of two correlated signal is P = P1 + P2 +2R1, 2(t).

39.
A box has 4 white and 3 red balls. Two balls are taken out in succession. What is the probability that both are white?
Answer: Option
Explanation:

The probability that first ball is white is and the probability the second ball is white is . The probability that both are white is .

40.
Z transform is a non-linear operation.
True
False
Answer: Option
Explanation:

Z transform is a linear operation.

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