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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
\begin{figure}\input fig/ola.pstex_t
\end{figure}


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written by Julius Orion Smith III
Julius Smith's background is in electrical engineering (BS Rice 1975, PhD Stanford 1983). He is presently Professor of Music and Associate Professor (by courtesy) of Electrical Engineering at Stanford's Center for Computer Research in Music and Acoustics (CCRMA), teaching courses and pursuing research related to signal processing applied to music and audio systems. See http://ccrma.stanford.edu/~jos/ for details.


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