Howtosignalprocessing
- What is the consequence in the time domain for having samples in the frequency domain?
- What is the benefit of converting a time domain signal into a frequency domain signal?
- How does a time shift affect frequency domain?
- What is time domain in Fourier transform?
What is the consequence in the time domain for having samples in the frequency domain?
The answer is: yes, sampling in the frequency domain causes aliasing in the time domain, exactly like the dual case: sampling in the time domain causes aliasing in the frequency domain.
What is the benefit of converting a time domain signal into a frequency domain signal?
The principal benefit of converting the time domain signal to a frequency domain signal is to understand the frequency components and to get the power spectral density. (The spectral energy in the signal is the fft as you have calculated and plotted it in figure(3).
How does a time shift affect frequency domain?
Apparently, a shift in the time domain corresponds to a phase rotation in the frequency domain. In particular, when the time-shift equal 1s (or in general: t0), the period of the phase rotation in frequency domain amounts 1Hz (or in general 1/t0Hz).
What is time domain in Fourier transform?
The Fourier transform is not limited to functions of time, but the domain of the original function is commonly referred to as the time domain. The Fourier inversion theorem provides a synthesis process that recreates the original function from its frequency domain representation.
