Quite confused with Fourier Analysis results

1. What are the limitations of Fourier analysis?
2. What does Fourier analysis tell us?
3. Is Fourier analysis important?
4. How will you overcome the limitations of Fourier transforms?

What are the limitations of Fourier analysis?

The major disadvantage of the Fourier transformation is the inherent compromise that exists between frequency and time resolution. The length of Fourier transformation used can be critical in ensuring that subtle changes in frequency over time, which are very important in bat echolocation calls, are seen.

What does Fourier analysis tell us?

Fourier analysis allows one to identify, quantify, and remove the time-based cycles in data if necessary. The amplitudes, phases, and frequencies of data are evaluated by use of the Fourier transform.

Is Fourier analysis important?

Fourier transforms is an extremely powerful mathematical tool that allows you to view your signals in a different domain, inside which several difficult problems become very simple to analyze.

How will you overcome the limitations of Fourier transforms?

The solution to this is time-frequency analysis, which is a field that deals with signal processing in both time and frequency domain.