Exercise: Signals And Systems

Questions for: Signals And Systems

Consider the following statements
  1. If ensemble and time averages of a random process are identical, the process is ergodic.
  2. If ensemble and time average of a random process are not identical, the process is ergodic.
  3. An ergodic process is stationary.
  4. A stationary process is necessarily ergodic.
Which of the above statements are correct?
A:
1 only
B:
1 and 3 only
C:
1, 3 and 4 only
D:
1 and 4 only
Answer: B
No answer description is available. Let's discuss.
If f(t) is an odd function, F(jω) =
A:
B:
C:
D:
Answer: C
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What about causality of the system transfer function of a discrete time system
A:
uncasual
B:
casual
C:
casual and some specific point
D:
Both b and c
Answer: B
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Assertion (A): Laplace transform can be used to evalute integrals.

Reason (R): Laplace transform can be used to solve differential equations.

A:
Both A and R are correct and R is correct explanation of A
B:
Both A and R are correct but R is not correct explanation of A
C:
A is true, R is false
D:
A is false, R is true
Answer: B
No answer description is available. Let's discuss.
For a periodic waveform, the power spectral density and correlation function form
A:
a Laplace transform pair
B:
a Fourier transform pair
C:
either (a) or (b)
D:
neither (a) nor (b)
Answer: B
No answer description is available. Let's discuss.
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