Smart way to sample in time domain for a known frequeny domain

1. How do you convert frequency domain to time domain?
2. Which is the most commonly used method to convert time domain to frequency domain?
3. How a signal can be represented in time domain or frequency domain?
4. Why is frequency domain analysis better than 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.

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.

How a signal can be represented in time domain or frequency domain?

Time domain representation – In frequency domain, a signal is represented by its frequency spectrum. To obtain frequency spectrum of a signal, Fourier series and Fourier transformation are used. Fourier series is used to get frequency spectrum of time-domain signal, when the signal is periodic function of time.

Why is frequency domain analysis better than time domain analysis?

Frequency Analysis is much easier. Some equations can't be solved in time domain while they can be solved easily in frequency domain. Signals are the foundation of information processing, transmission, and storage. Signal representations are unique; a signal is either analog or digital, time domain or frequency domain.