What is Fourier series? - Signals and Systems

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

What is Fourier series?

The representation of periodic signals in a mathematical manner is called a Fourier series

The representation of non periodic signals in a mathematical manner is called a Fourier series

The representation of periodic signals in terms of complex exponentials or sinusoids is called a Fourier series

The representation of non periodic signals in terms of complex exponentials or sinusoids is called a Fourier series

Correct Answer : Option (C) : The representation of periodic signals in terms of complex exponentials or sinusoids is called a Fourier series

Explanation : The Fourier series is the representation of non periodic signals in terms of complex exponentials, or equivalently in terms of sine and cosine waveform leads to Fourier series. In other words, Fourier series is a mathematical tool that allows representation of any periodic wave as a sum of harmonically related sinusoids.

Recently Updated in Signals and Systems Questions

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