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Matlab for the DPSS Window

The function dpss in the Matlab Signal Processing Tool Box4.5 can be used to compute them as follows:

  w = dpss(M,alpha,1); % discrete prolate spheroidal sequence
where $ M$ is the desired window length, and $ \alpha\in[0,M/2)$ can be interpreted as half of the window's time-bandwidth product $ \Delta
t\cdot \Delta f$ in ``cycles''. Alternatively, $ \alpha $ can be interpreted as the highest bin number $ k$ inside the main lobe of the window transform $ W(\omega_k)=\hbox{\sc DFT}_M(w)$, when the DFT length is equal to the window length $ M$. (See the next section on the Kaiser window for more on this point.)

Some examples of DPSS windows and window transforms are given in Fig.3.20.


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Next: Kaiser Window

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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