What is the period of the signal when it is time shifted? - Signals and Systems

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

What is the period of the signal when it is time shifted?

A)

Remains the same

B)

Takes the shifted value

C)

Different in different situation

D)

Changes according to the situation

Correct Answer : Option (A) : Remains the same

Explanation : The period of the periodic signal does not change even if it is time shifted.
If x(t) and y(t) are two periodic signals with coefficients X_n and Y_n, then if a signal is shifted to t₀, then the property says,
X_n = x(t-t₀), Y_n = X_ne^-njwt0.

Recently Updated in Signals and Systems Questions

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

In RLC circuits the state variables generally selected are

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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