Overlap-Add (OLA) Interpretation of the STFT

In the OLA interpretation of the STFT, we apply a time-shifted window $ w(n-m)$ to our signal $ x(n)$ , selecting data near time $ m$ , and compute the Fourier-transform to obtain the spectrum of the $ m$ th frame. As shown in Fig.9.1, the STFT is viewed as a time-ordered sequence of spectra, one per frame, with the frames overlapping in time.

Figure 9.1: Overlap-Add (OLA) view of the STFT

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WOLA Processing Steps