Fourier series in continous time domain

1. Is Fourier series in time domain?
2. Is Fourier series continuous?
3. What are the properties of continuous time Fourier series *?
4. Is Fourier series discrete or continuous?

Is Fourier series in time domain?

Fourier Series

If x(t) is a real time domain signal, the coefficients c_n and c_-n are complex conjugates (i.e. , correspond to the amplitudes of the frequency harmonics that would be measured using a spectrum analyzer. Figure 5. Periodic signals in the time and frequency domain.

Is Fourier series continuous?

The Fourier series of f(x) will be continuous and will converge to f(x) on −L≤x≤L − L ≤ x ≤ L provided f(x) is continuous on −L≤x≤L − L ≤ x ≤ L and f(−L)=f(L) f ( − L ) = f ( L ) .

What are the properties of continuous time Fourier series *?

What are the properties of continuous time fourier series? Explanation: Linearity, time shifting, frequency shifting, time reversal, time scaling, periodic convolution, multiplication, differentiation are some of the properties followed by continuous time fourier series.

Is Fourier series discrete or continuous?

The discrete-time Fourier transform of a discrete sequence of real or complex numbers x[n], for all integers n, is a Fourier series, which produces a periodic function of a frequency variable.