Time domain maximum from frequency domain data?

1. How do you convert frequency domain to time domain?
2. How the frequency domain correlates to the time domain representation?
3. How is time domain analysis different from frequency domain?
4. Why frequency domain analysis is preferred over time domain analysis?

How do you convert frequency domain to time domain?

Each component in the frequency domain is a sine wave in the time domain, defined from t = - infinity to t = + infinity. To re-create the time-domain waveform, we take each of the sine waves described in the spectrum and add them up in the time domain at each time-interval point.

How the frequency domain correlates to the time domain representation?

As stated earlier, a time-domain graph displays the changes in a signal over a span of time, and frequency domain displays how much of the signal exists within a given frequency band concerning a range of frequencies.

How is time domain analysis different from frequency domain?

Put simply, a time-domain graph shows how a signal changes over time, whereas a frequency-domain graph shows how much of the signal lies within each given frequency band over a range of frequencies.

Why frequency domain analysis is preferred over time domain analysis?

Frequency-domain analysis is widely used in such areas as communications, geology, remote sensing, and image processing. While time-domain analysis shows how a signal changes over time, frequency-domain analysis shows how the signal's energy is distributed over a range of frequencies.