SIGNAL AND SYSTEM MCQS SET 05

SIGNAL AND SYSTEM MCQS SET 05

1)   What should be the value of laplace transform for the time-domain signal equation e-atcos ωt.u(t)?
a. 1 / s + a with ROC σ > – a
b. ω / (s + a) 2 + ω2 with ROC σ > – a
c. s + a / (s + a)2 + ω2 with ROC σ > – a
d. Aω / s2 + ω2 with ROC σ > 0
ANSWER: (c) s + a / (s + a)2 + ω2 with ROC σ > – a
 

2)   According to the time-shifting property of Laplace Transform, shifting the signal in time domain corresponds to the ______
a. Multiplication by e-st0 in the time domain
b. Multiplication by e-st0 in the frequency domain
c. Multiplication by est0 in the time domain
d. Multiplication by est0 in the frequency domain
ANSWER: (b) Multiplication by e-st0 in the frequency domain
 

3)   Which result is generated/ obtained by the addition of a step to a ramp function?
a. Step Function shifted by an amount equal to ramp
b. Ramp Function shifted by an amount equal to step
c. Ramp function of zero slope
d. Step function of zero slope
ANSWER: (b) Ramp Function shifted by an amount equal to step
 

4)   Unilateral Laplace Transform is applicable for the determination of linear constant coefficient differential equations with ________
a. Zero initial condition      b. Non-zero initial condition
c. Zero final condition         d. Non-zero final condition
ANSWER:  (b) Non-zero initial condition
 

5)   What should be location of poles corresponding to ROC for bilateral Inverse Laplace Transform especially for determining the nature of time domain signal?
a. On L.H.S of ROC                     b. On R.H.S of ROC
c. On both sides of ROC             d. None of the above
ANSWER:  (c) On both sides of ROC
 

6)   Generally, the convolution process associated with the Laplace Transform in time domain results into________
a. Simple multiplication in complex frequency domain
b. Simple division in complex frequency domain
c. Simple multiplication in complex time domain
d. Simple division in complex time domain
ANSWER: (a)  Simple multiplication in complex frequency domain
 

7)   An impulse response of the system at initially rest condition is basically a response to its input & hence also regarded as,
a. Black’s function                   b. Red’s function
c. Green’s function                  d. None of the above
ANSWER: (c) Green’s function
 

8)   When is the system said to be causal as well as stable in accordance to pole/zero of ROC specified by system transfer function?
a. Only if all the poles of system transfer function lie in left-half of S-plane
b. Only if all the poles of system transfer function lie in right-half of S-plane
c. Only if all the poles of system transfer function lie at the centre of S-plane
d. None of the above
ANSWER: (a)  Only if all the poles of system transfer function lie in left-half of S-plane
 

9)   Correlogram is a graph of ______
a. Amplitude of one signal plotted against the amplitude of another signal
b. Frequency of one signal plotted against the frequency of another signal
c. Amplitude of one signal plotted against the frequency of another signal
d. Frequency of one signal plotted against the time period of another signal
ANSWER: (a) Amplitude of one signal plotted against the amplitude of another signal
 

10)   Which theorem states that the total average power of a periodic signal is equal to the sum of average powers of the individual fourier coefficients?
a. Parseval’s Theorem            b. Rayleigh’s Theorem
c. Both a & b                            d. None of the above
ANSWER: (a) Parseval’s Theorem