Short-time Fourier transform

From SEG Wiki
Jump to navigation Jump to search
ADVERTISEMENT

The short-time Fourier transform (STFT) is a spectral decomposition method that involves calculating the Fourier transform of a windowed portion of a time-varying signal as the window slides down the time axis.

Definition

The STFT requires a windowed portion of the signal, such that

where is the original signal and is the window function centered at time . The Fourier transform is computed for the windowed portion, for each , as follows:

.[1]

The result is a representation of the one-dimensional signal in a two-dimensional time-frequency domain.

References

  1. Cohen, L., 1995, Time-Frequency Analysis: Prentice-Hall