Least Squares Re Synthesis of Short Time Fourier Transform (STFT)

1. What is FFT and STFT?
2. What is FFT length in STFT?
3. What is STFT spectrogram?
4. Is STFT invertible that is the original signal can be recovered from the transform by the inverse STFT?

What is FFT and STFT?

STFT or "Short-Time Fourier Transform" uses a sliding-frame FFT to produce a 2D matrix of Frequency versus Time, often represented as a graph called a Spectrogram, like this one: The STFT is used when you want to know at what time a particular frequency event occurs in the signal.

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 STFT spectrogram?

s = spectrogram( x ) returns the Short-Time Fourier Transform (STFT) of the input signal x . Each column of s contains an estimate of the short-term, time-localized frequency content of x . The magnitude squared of s is known as the spectrogram time-frequency representation of x [1].

Is STFT invertible that is the original signal can be recovered from the transform by the inverse STFT?

The STFT is invertible, that is, the original signal can be recovered from the transform by the inverse STFT. The most widely accepted way of inverting the STFT is by using the overlap-add (OLA) method, which also allows for modifications to the STFT complex spectrum.