Discrete signal - fourier transform coefficient period [closed]

1. What is the period of the discrete time Fourier transform of a signal?
2. Is DTFS periodic?
3. What is the condition to be satisfied for the existence of Fourier transform for CT periodic signals?

What is the period of the discrete time Fourier transform of a signal?

Due to discrete-time nature of the original signal, the DTFT is 2π-periodic.

Is DTFS periodic?

It's periodic! Figure 7.2. 9, Figure 7.2.

What is the condition to be satisfied for the existence of Fourier transform for CT periodic signals?

5.3 Existence of the Fourier Transform

For the Fourier transform to exist, x(t) must be absolutely integrable—that is, Moreover, x(t) must have only a finite number of discontinuities and a finite number of minima and maxima in any finite interval.