Shift property of the Short-term Fourier transform (STFT)

1. What is time shifting property of Fourier transform?
2. How is STFT different from FFT?
3. What is FFT length in STFT?
4. What is the difference between STFT and wavelet transform?

What is time shifting property of Fourier transform?

The time-shifting property identifies the fact that a linear displacement in time corresponds to a linear phase factor in the frequency domain. This becomes useful and important when we discuss filtering and the effects of the phase characteristics of a filter in the time domain.

How is STFT different from 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 is FFT length in STFT?

512 (default) | positive integer. FFT length, specified as a positive integer. This property determines the length of the STFT output (number of rows).

What is the difference between STFT and wavelet transform?

In contrast to the standard STFT which uses a single window size, the wavelet transform (WT) uses short windows at high frequencies and long windows at low frequencies [21]. Wavelets rely on the use of a mother wavelet function that can be scaled and shifted, to correlate with the anomalies or events of the signals.