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Signals and Systems problems

1. A function having frequency f is to be sampled. The sampling time T should be
Options
A.
B.
C.
D.

2. 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
Options
A. 9
B. 21
C. 3
D. 15

4. 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
Options
A. a step function
B. a pulse function
C. a shifted step function originating at t = a
D. none of the above

5. Let x(t) and y(t) with F.T. x(f) and y(f) respectively be related as shown in figure

Then y(f) is
Options
A.
B.
C. -X(f/2)e^j2pf
D. -X(f/2)e^{- j2pf}

6. A voltage wave having 5% fifth harmonic content is applied to a series RC circuit. The percentage fifth harmonic content in the current wave will be
Options
A. 5%
B. more than 5%
C. less than 5%
D. equal or more than 5%

7. The system with given pole-zero diagram is
Options
A. casual
B. non-casual
C. both sided
D. not-possible

8. If �[f(t)] = F(s), then �[f(t - T)] =
Options
A. e^st F(s)
B. e^-st F(s)
C.
D.

9. As per time displacement theorem in Laplace transformation, displacement in the time domain by T becomes
Options
A. division by s in the s domain
B. division by e^-sT in the s domain
C. multiplication by s in the s domain
D. multiplication by e^-sT in the s domain

10. An energy signal has G(f) = 10. Its energy density spectrum is
Options
A. 10
B. 100
C. 50
D. 20

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