The STFT as a Time-Frequency Distribution

The Short Time Fourier Transform (STFT) at frame is usually defined as , the sampled DTFT of the th data frame . It is a function of both time (frame number ) and frequency ( ). The STFT is just one example of a time-frequency distribution. Others include

• Constant-Q STFTs [29]
• Dyadic Wavelet Filterbank [264]
• Wigner Distribution [38]

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Subsections

• Time-Frequency Parameters in the STFT

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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.