Time

How to apply FT to real-life signal that labeled in seconds, not radians

How to apply FT to real-life signal that labeled in seconds, not radians
  1. How do you reconstruct a continuous time signal from its samples?
  2. What does a fast Fourier transform do?
  3. What is the difference between discrete time Fourier transform and discrete Fourier transform?

How do you reconstruct a continuous time signal from its samples?

A continuous time signal can be processed by processing its samples through a discrete time system. For reconstructing the continuous time signal from its discrete time samples without any error, the signal should be sampled at a sufficient rate that is determined by the sampling theorem.

What does a fast Fourier transform do?

The "Fast Fourier Transform" (FFT) is an important measurement method in the science of audio and acoustics measurement. It converts a signal into individual spectral components and thereby provides frequency information about the signal.

What is the difference between discrete time Fourier transform and discrete Fourier transform?

original sequence spans all the non-zero values of a function, its DTFT is continuous (and periodic), and the DFT provides discrete samples of one cycle. If the original sequence is one cycle of a periodic Page 2 function, the DFT provides all the non-zero values of one DTFT cycle.

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