Explore topic-wise MCQs in Signals & Systems.

This section includes 14 Mcqs, each offering curated multiple-choice questions to sharpen your Signals & Systems knowledge and support exam preparation. Choose a topic below to get started.

1.

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
Answer» E.
Discussion
2.

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

A. 2
B.
C. ( frac{ }{2} )
D. ( frac{ }{4} )
Answer» B.
Discussion
3.

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
Answer» C. Zero
Discussion
4.

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
Answer» C. Zero
Discussion
5.

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
Answer» B. 36 W
Discussion
6.

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
Answer» D. Neither odd nor even functions
Discussion
7.

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}
Answer» B. {1,3,3,7,7,6,4}
Discussion
8.

A system has a block G1(s) which has input x (s) and output y1(s). This output is fed as input to a second block G2(s) which has output y2(s). For this system, G1(s) = ( frac{s^{-1}}{1 + 2s^{-1} + s^{-2}} ).
G2(s) for the given system to be invertible is given by _______________

A. ( frac{s}{1+2s+s^2} )
B. ( frac{1+2s+s^2}{s} )
C. ( frac{1}{1+2s+s^2} )
D. 1+2s+s<sup>2</sup>
Answer» C. ( frac{1}{1+2s+s^2} )
Discussion
9.

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. ( frac{1}{s+4} )
B. ( frac{1}{s^2+4s+3} )
C. ( frac{1}{s^2-4s-3} )
D. ( frac{1}{s^2-4s+3} )
Answer» C. ( frac{1}{s^2-4s-3} )
Discussion
10.

A periodic signal has power ( frac{P}{4} ) equal to average energy per period then rms value of signal is given by ________________

A. ( frac{ sqrt{P}}{4} )
B. ( frac{P}{4} )
C. ( frac{P}{2} )
D. ( frac{ sqrt{P}}{2} )
Answer» E.
Discussion
11.

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
Answer» D. 1 W
Discussion
12.

Given signal given, ( y (t) = 2sin ( frac{2}{3} t) + 4sin ( frac{1}{4} t frac{ }{4}) + 6sin ( frac{1}{3} t frac{ }{5}) + 8sin ( frac{1}{2} t frac{ }{7} )). The period of y(t) is ________________

A. 12
B. 24
C. 8
D. 16
Answer» C. 8
Discussion
13.

The resultant signal obtained after frequency convolution along with constant multiplier ( frac{1}{2 j} ) of the signals whose Laplace transforms are given by, ( frac{1}{s+2} ) and ( frac{1}{s+1} ).

A. e<sup>-2t</sup> + e<sup>-t</sup>
B. e<sup>-2t</sup>
C. e<sup>-3t</sup>
D. e<sup>-t</sup>
Answer» D. e<sup>-t</sup>
Discussion
14.

For the signal (x (t) = (t) frac{4}{3} e^{-t} ,u(t) + frac{1}{3} e^{2t} ,u(t) ). It has how many poles and zeroes at infinity?

A. 1, 0
B. 2, 2
C. 2, 0
D. 0, 0
Answer» E.
Discussion