Complex Exponential MCQs : This section focuses on the "Complex Exponential". These Multiple Choice Questions (MCQs) should be practiced to improve the Complex Exponential skills required for various interviews (campus interview, walk-in interview, company interview), placement, entrance exam and other competitive examinations.
Question 1
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
Question 2
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
Question 3
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
Question 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
Question 5
exp(jwt) is periodic
A. for any w
B. for any t
C. for no w
D. for no t
Question 6
exp[jwn] is periodic
A. for any w
B. for any t
C. for w=2pi*M/n
D. for t = 1/w
Question 7
Sinusoidal signals multiplied by decaying exponentials are referred to as
A. Amplified sinusoids
B. Neutralized sinusoids
C. Buffered sinusoids
D. Damped sinusoids
Question 8
The most general form of complex exponential function is:
A. eσt
B. eΩt
C. est
D. eat
Question 9
Total energy possessed by a signal exp(jwt) is?
A. 2pi/w
B. pi/w
C. pi/2w
D. 2pi/3w
Question 10
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
Question 11
What is the fundamental frequency of exp(2pi*w*j)?
A. 1pi*w
B. 2pi*w
C. w
D. 2w
Question 12
What is the magnitude of exp(2+3j)?
A. exp(2.3)
B. exp(3)
C. exp(2)
D. exp(3/2)
Question 13
What is the period of exp(2+pi*j/4)t?
A. 4
B. 8
C. 16
D. 20
Question 14
What is the power possessed by a signal exp(jwt)?
A. 1
B. 0.5
C. 1⁄w
D. w
Question 15
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