Where does the gibbs phenomenon occur?

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

Gibbs phenomenon occurs near points of discontinuity

Gibbs phenomenon occurs only near points of discontinuity

Gibbs phenomenon occurs only ahead of points of discontinuity

Gibbs phenomenon does not occur near points of discontinuity

Correct Answer : Option (B) : Gibbs phenomenon occurs only near points of discontinuity

Explanation : The gibbs phenomenon present in a signal x(t), only when there is a jump discontinuity in the signal. Gibbs phenomenon occurs only near points of discontinuity that is approximated by a fourier series in which only a finite number of terms are kept constant.

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

ergodic process

statistical dependence

statistical independence

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?

1 only

1 and 3 only

1 and 4 only

1, 3 and 4 only

Correct Answer : 1 and 3 only

In RLC circuits the state variables generally selected are

voltages across capacitors

currents through resistances and capacitances

currents through inductances and voltages across capacitances

currents through resistances and voltages across capacitors

Correct Answer : currents through inductances and voltages across capacitances