Fourier

Short-time Fourier transform Tradeoffs

Short-time Fourier transform Tradeoffs
  1. What advantages does short-time Fourier transform have over Fourier transform?
  2. What does short-time Fourier transform do?
  3. What are the advantages of STFT over a simple FFT?
  4. What are the drawbacks of Fourier transform?

What advantages does short-time Fourier transform have over Fourier transform?

STFT provides the time-localized frequency information for situations in which frequency components of a signal vary over time, whereas the standard Fourier transform provides the frequency information averaged over the entire signal time interval.

What does short-time Fourier transform do?

The short-time Fourier transform (STFT) is used to analyze how the frequency content of a nonstationary signal changes over time. The magnitude squared of the STFT is known as the spectrogram time-frequency representation of the signal.

What are the advantages of STFT over a simple FFT?

If you look closely, there is a difference in the time frame on 3D graphs between STFT and FFT. STFT has smaller time frames, consequently, the frequency spectrum moves smoother over time, therefore it is more accurate. Block size - defines the number of real data samples to be taken for the calculating FFT.

What are the drawbacks of Fourier transform?

The major disadvantage of the Fourier transformation is the inherent compromise that exists between frequency and time resolution. The length of Fourier transformation used can be critical in ensuring that subtle changes in frequency over time, which are very important in bat echolocation calls, are seen.

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