### Reconstruction from Samples--Pictorial Version

Figure D.1 shows how a sound is reconstructed from its
samples. Each sample can be considered as specifying the
*scaling* and *location* of a *sinc function*. The
discrete-time signal being interpolated in the figure is
a *digital rectangular pulse*:

Notice that each sinc function passes through zero at every sample instant but the one it is centered on, where it passes through 1.

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The Sinc Function

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Time-Bandwidth Products are Unbounded Above