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Stretch

We define the Stretch operator such that:

$\displaystyle \hbox{\sc Stretch}_L : \mathbb{C}^N \rightarrow \mathbb{C}^{NL}
$

Which means that it transforms a length $ N$ complex signal, into a length $ NL$ signal. Specifically, we do this by inserting $ L-1$ zeros in between each pair of samples of the signal.


\begin{psfrags}\psfrag{n}{...}\begin{center}
\epsfig{file=eps/stretch2.eps,width=5in} \\
\end{center} % was epsfbox
\end{psfrags}


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``Review of the Discrete Fourier Transform (DFT)'', by Julius O. Smith III, (From Lecture Overheads, Music 421).
Copyright © 2020-06-27 by Julius O. Smith III
Center for Computer Research in Music and Acoustics (CCRMA),   Stanford University
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