How is the period of the sum signal computed as? - Signals and Systems

Electronics and Communication Engineering (ECE) : Signals and Systems - Quiz(MCQ)

How is the period of the sum signal computed as?

A)

T*T

B)

T*n

C)

T*N+M

D)

T *(n+m)

Correct Answer : Option (B) : T*n

Explanation : If a signal is periodic then we have to convert each of the periods to the ratio of integers. We have to take the ratio of greatest common divisor(gcd) from the numerator to the gcd of denominator. The LCM of the denominators of the resulting ratios is the value of n the period of the sum signal is T*n.

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For a Gaussian process, auto-correlation sequence also implies that

A)

ergodic process

B)

statistical dependence

C)

statistical independence

D)

All of the above

Correct Answer : statistical dependence

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 and 4 only

D)

1, 3 and 4 only

Correct Answer : 1 and 3 only

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A)

voltages across capacitors

B)

currents through resistances and capacitances

C)

currents through inductances and voltages across capacitances

D)

currents through resistances and voltages across capacitors

Correct Answer : currents through inductances and voltages across capacitances

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