Applicability of Fourier transform to periodic signals? [duplicate]

1. Is Fourier transform applicable to periodic signal?
2. How the Fourier transform is useful in analysis of periodic signals?
3. Can Fourier series be applied to Aperiodic signals?
4. Can Fourier series only be applied to periodic functions?

Is Fourier transform applicable to periodic signal?

The Fourier series can be used to analyse only the periodic signals, while the Fourier transform can be used to analyse both periodic as well as non-periodic functions.

How the Fourier transform is useful in analysis of periodic signals?

6.4.

The Fourier transform (FT) provides a way to characterize the overall regularity as well as the related concept of the frequency scale of a periodic signal. An important feature of FT is the orthogonality of the basic functions, which allows for a unique decomposition of signals.

Can Fourier series be applied to Aperiodic signals?

Fourier series is defined for periodic signals and the Fourier transform can be applied to aperiodic (occurring without periodicity) signals. As mentioned above, the study of Fourier series actually provides motivation for the Fourier transform.

Can Fourier series only be applied to periodic functions?

Yes it is. Fourier series is used to represent any function in terms of a periodic function that is in terms of sines and cosines. The main advantage of using Fourier series is that decomposing a function(which is difficult to treat) into sine and cosine is easily solvable.