Frequency domain to time domain with magnitude and phase

1. How do you convert frequency domain to time domain?
2. How the frequency domain correlates to the time domain representation?
3. Which is the most commonly used method to convert time domain to frequency domain?
4. What is phase in the frequency domain?

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.

Which is the most commonly used method to convert time domain to frequency domain?

Fourier transform methods are the traditional methods of converting from the time to frequency domains for most discrete applications including FDTD.

What is phase in the frequency domain?

The phase tells you how all the frequency components align in time. Plot the magnitude and the phase components of the frequency spectrum of the signal. The magnitude is conveniently plotted in a logarithmic scale (dB).