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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
\includegraphics{eps/ola}


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``Spectral Audio Signal Processing'', by Julius O. Smith III, W3K Publishing, 2011, ISBN 978-0-9745607-3-1.
Copyright © 2016-07-18 by Julius O. Smith III
Center for Computer Research in Music and Acoustics (CCRMA),   Stanford University
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