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:
![$\displaystyle x = [\dots, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, \dots]
$](http://www.dsprelated.com/josimages_new/mdft/img1764.png)
![]() |
Notice that each sinc function passes through zero at every sample instant but the one it is centered on, where it passes through 1.
Next Section:
The Sinc Function
Previous Section:
Time-Bandwidth Products are Unbounded Above