Signals and Systems - Section 1 (2)

Directions to Solve

Signals and Systems - Section 1

The Fourier series of an odd periodic function contains

A.	odd harmonics only
B.	even harmonics only
C.	cosine harmonics only
D.	sine harmonics only

Answer: Option D

Explanation:

For an odd function f(- x) = - f(x) Hence, only sine terms.

10.

A signal g(t) = A then g(t) is a

A.	energy signal
B.	power signal
C.	neither energy nor power signal
D.	insufficient data

Answer: Option B

Explanation:

31-239

11.

Z transform is a non-linear operation.

A.	True
B.	False

Answer: Option B

Explanation:

Z transform is a linear operation.

12.

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

A.
B.
C.
D.

Answer: Option C

Explanation:

The probability that first ball is white is 31-227-1 and the probability the second ball is white is 31-227-2 The probability that both are white is 31-227-3

13.

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

A.	9
B.	21
C.	3
D.	15

Answer: Option B

Explanation:

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

14.

Inverse Laplace transform of is 13-162

A.	2 exp (- 2.5 t) cosh (0.5 t)
B.	exp (- 2 t) + exp (- 3 t)
C.	2 exp (- 2.5 t) sinh (0.5 t)
D.	2 exp (- 2.5 t) cos 0.5 t

Answer: Option B

Explanation:

30-162

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

15.

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.	a step function
B.	a pulse function
C.	a shifted step function originating at t = a
D.	none of the above

Answer: Option B

Explanation:

It is a pulse lasting for t = a.

16.

The analog signal given below is sampled by 600 samples per second for m(t) = 3 sin 500 pt + 2 sin 700 pt then folding frequency is

A.	500 Hz
B.	700 Hz
C.	300 Hz
D.	1400 Hz

Answer: Option C

Explanation:

34-339

34-339-1

Signals and Systems - Section 1 (2)

Signals and Systems - Section 1

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