### The STFT as a Time-Frequency Distribution

The Short Time Fourier Transform (STFT)
is a function
of both time (frame number
) and frequency (
).
It is therefore an example of a *time-frequency distribution*.
Others include

*resolution cell in time*, indicated by the vertical lines in Fig.7.1. The width of the main-lobe of the window-transform is proportional to the

*resolution cell in frequency*, indicated by the horizontal lines in Fig.7.1. As detailed in Chapter 3, choosing a window length and window type (Hamming, Blackman, etc.) chooses the ``aspect ratio'' and total area of the time-frequency resolution cells (rectangles in Fig.7.1). For an example of a non-uniform time-frequency tiling, see Fig.10.14.

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STFT in Matlab

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Two Dual Interpretations of the STFT