What are fourier coefficients? - Signals and Systems

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

What are fourier coefficients?

The terms that are present in a fourier series

The terms that are obtained through fourier series

The terms which consist of the fourier series along with their sine or cosine values

The terms which are of resemblance to fourier transform in a fourier series are called fourier series coefficients

Correct Answer : Option (C) : The terms which consist of the fourier series along with their sine or cosine values

Explanation : The terms which consist of the fourier series along with their sine or cosine values are called fourier coefficients. Fourier coefficients are present in both exponential and trigonometric fourier series.

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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