Time-dependent Fourier Transform (TDFT)?

1. What is the difference between FFT and STFT?
2. Why do we use STFT?
3. What is DFS in DSP?
4. What is the difference between DFT and DTFT?

What is the difference between FFT and STFT?

FFT has a resolution of 2048 lines, Blackman window, and 50% overlap and STFT also has Block size 2048, FFT size 16K, Blackman window used, and 50% overlap. As we can see, STFT performs better with the same block size (but more calculated lines). We improved frequency resolution for the same amount of scooped data.

Why do we use STFT?

STFT is widely used in audio feature extraction for time-frequency decomposition. This can be observed from the signatures in Tables V–VII. However, STFT provides only a suboptimal tradeoff between time and frequency resolution since the frequency resolution of the STFT is the same for all locations in the spectrogram.

What is DFS in DSP?

In digital signal processing, the term Discrete Fourier series (DFS) is any periodic discrete-time signal comprising harmonically-related (i.e. Fourier) discrete real sinusoids or discrete complex exponentials, combined by a weighted summation. A specific example is the inverse discrete Fourier transform (inverse DFT).

What is the difference between DFT and DTFT?

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.