Explore topic-wise MCQs in Signals Systems.

This section includes 15 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.

DEFINE_THE_FUNDAMENTAL_PERIOD_OF_THE_FOLLOWING_SIGNAL_X[N]_=_EXP(2PI*J*N/3)_+_EXP(3*PI*J*N/4)??$

A. 8
B. 12
C. 18
D. 24
Answer» E.
Discussion
2.

The most general form of complex exponential function is:$

A. e<sup>σt</sup>
B. e<sup>Ωt</sup>
C. e<sup>st</sup>
D. e<sup>at</sup>
Answer» D. e<sup>at</sup>
Discussion
3.

exp[jwn]_is_periodic$

A. for any w
B. for any t
C. for w=2pi*M/n
D. for t = 1/w
Answer» D. for t = 1/w
Discussion
4.

Determine the nature of the signal: x(t) = e-0.2t [cosΩt + jsinΩt].$

A. Exponentially decaying sinusoidal signal
B. Exponentially growing sinusoidal signal
C. Sinusoidal signal
D. Exponential signal
Answer» B. Exponentially growing sinusoidal signal
Discussion
5.

An exponentially growing sinusoidal signal is:

A. σ = 0 and Ω = 0
B. σ > 0 and Ω ≠ 0
C. σ < 0 and Ω ≠ 0
D. σ = 0 and Ω ≠ 0
Answer» C. ‚âà√¨‚àö√¢ < 0 and ‚âà√≠¬¨¬© ‚Äö√Ñ√∂‚àö¬¢‚Äö√тĆ 0
Discussion
6.

When is a complex exponential signal sinusoidal?

A. σ =0 and Ω = 0
B. σ < 0 and Ω = 0
C. σ = 0 and Ω ≠ 0
D. σ ≠ 0 and Ω ≠ 0
Answer» D. ‚âà√¨‚àö√¢ ‚Äö√Ñ√∂‚àö¬¢‚Äö√тĆ 0 and ‚âà√≠¬¨¬© ‚Äö√Ñ√∂‚àö¬¢‚Äö√тĆ 0
Discussion
7.

A_complex_exponential_signal_is_a_decaying_exponential_signal_when

A. Ω = 0 and σ > 0
B. Ω = 0 and σ = 0
C. Ω ≠ 0 and σ < 0
D. Ω = 0 and σ < 0
Answer» E.
Discussion
8.

exp(jwt) is periodi?

A. for any w
B. for any t
C. for no w
D. for no t
Answer» B. for any t
Discussion
9.

What is the period of exp(2+pi*j/4)t?

A. 4
B. 8
C. 16
D. 20
Answer» C. 16
Discussion
10.

What is the power possessed by a signal exp(jwt)?

A. 1
B. 0.5
C. <sup>1</sup>‚ÅÑ<sub>w</sub>
D. w
Answer» B. 0.5
Discussion
11.

Sinusoidal signals multiplied by decaying exponentials are referred to as

A. Amplified sinusoids
B. Neutralized sinusoids
C. Buffered sinusoids
D. Damped sinusoids
Answer» E.
Discussion
12.

Total energy possessed by a signal exp(jwt) is?

A. 2pi/w
B. pi/w
C. pi/2w
D. 2pi/3w
Answer» B. pi/w
Discussion
13.

What is the fundamental frequency of exp(2pi*w*j)?

A. 1pi*w
B. 2pi*w
C. w
D. 2w
Answer» D. 2w
Discussion
14.

What is the magnitude of exp(2+3j)?

A. exp(2.3)
B. exp(3)
C. exp(2)
D. exp(3/2)
Answer» D. exp(3/2)
Discussion
15.

What is exp(ja) equal to, where j is the square root of unity?

A. cos ja + jsin a
B. sin a + jcos a
C. cos j + a sin j
D. cos a + jsin a
Answer» E.
Discussion