Choose the condition from below that is not a part of Dirichlet's conditions? - Signals and Systems

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

Choose the condition from below that is not a part of Dirichlet's conditions?

A)

It is a periodic signal

B)

It has a finite average value over the period T

C)

It has a finite number of positive and negative maxima in the period T

D)

If it is continuous then there are a finite number of discontinuities in the period T1

Correct Answer : Option (A) : It is a periodic signal

Explanation : Even if the Fourier series demands periodicity as the major necessity for its formation still it is not a part of Dirichlet’s condition. It is the basic necessity for Fourier series.

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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