This set of Signals & Systems Multiple Choice Questions & Answers (MCQs) focuses on “Average Power and Energy of a Signal”.

1. The resultant signal obtained after frequency convolution along with constant multiplier 12πj of the signals whose Laplace transforms are given by, 1s+2 and 1s+1.

a) e^{-2t} + e^{-t}

b) e^{-2t}

c) e^{-3t}

d) e^{-t}

2. Given signal given, y(t)=2sin(23t)+4sin(14t–π4)+6sin(13t–π5)+8sin(12t–π7). The period of y(t) is ________________

a) 12 π

b) 24 π

c) 8 π

d) 16 π

3. For the signal x(t)=δ(t)–43e−tu(t)+13e2tu(t). It has how many poles and zeroes at infinity?

a) 1, 0

b) 2, 2

c) 2, 0

d) 0, 0

4. The signal power of the periodic rectangular pulses of height 1 and width 1, is _______________

a) 0.25 W

b) 0.75 W

c) 0.5 W

d) 1 W

5. A periodic signal has power P4 equal to average energy per period then rms value of signal is given by ________________

a) P√4

b) P4

c) P2

d) P√2

6. A system has a block G_{1}(s) which has input x (s) and output y_{1}(s). This output is fed as input to a second block G_{2}(s) which has output y_{2}(s). For this system, G_{1}(s) = s−11+2s−1+s−2.

G_{2}(s) for the given system to be invertible is given by _______________

a) s1+2s+s2

b) 1+2s+s2s

c) 11+2s+s2

d) 1+2s+s^{2}

7. Power spectral density of the signal given below is _______________

a) 0

b) 6

c) ∞

d) -6

8. For a LTI system consisting of two integrators, the output of the first integrator is inverted and fed as input to the sigma at beginning and output of the second integrator is also inverted and fed as input to the sigma at the beginning. The input is x (t) and output y (t), the transfer function is ______________

a) 1s+4

b) 1s2+4s+3

c) 1s2−4s−3

d) 1s2−4s+3

9. The convolution y [n] = x [n] * h [n], where x [n] = {1,2,4} and h [n] = {1,1,1,1,1} is ________________

a) {1,3,7,7,7,6,4}

b) {1,3,3,7,7,6,4}

c) {1,2,4}

d) {1,3,7}

10. The signal power of the signal x (t) = 2sin 2t + 4sin 4t + 6cos 4t + 2cos 2t with period 0.5 is ________________

a) 30 W

b) 36 W

c) 60 W

d) 12 W

11. A signal is an energy signal if the signal has average energy equal to __________

a) Infinite

b) Finite

c) Zero

d) Does not depend on the average energy value

12. Given a periodic function having half wave symmetry. Then the function is ________________

a) An even function

b) An odd function

c) Both odd and even functions

d) Neither odd nor even functions

13. A signal is a power signal if the signal has average power equal to __________

a) Infinite

b) Finite

c) Zero

d) Does not depend on the average power value

14. The energy in the time-domain representation of a signal is the same as in the frequency domain representation normalized by ___________

a) 2π

b) π

c) π2

d) π4

15. The system characterized by the equation y (t) = ax (t) + b is ____________

a) Linear for any value of b

b) Linear if b>0

c) Linear if b<0

d) Non-linear

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