Next  |  Prev  |  Up  |  Top  |  JOS Index  |  JOS Pubs  |  JOS Home  |  Search

The Sinc Function (``Cardinal Sine'')

   sinc$\displaystyle (t) \mathrel{\stackrel{\mathrm{\Delta}}{=}}\frac{\sin(\pi t)}{\pi t}
$

\epsfig{file=eps/Sinc.eps}
Sinc Function

The sinc function is the impulse response of the ideal lowpass filter which cuts off at half the sampling rate

\epsfig{file=eps/boxcarFilter.eps}


Next  |  Prev  |  Up  |  Top  |  JOS Index  |  JOS Pubs  |  JOS Home  |  Search

Download Interpolation.pdf
Download Interpolation_2up.pdf
Download Interpolation_4up.pdf
Visit the online book containing this material.

``Bandlimited Interpolation, Fractional Delay Filtering, and Optimal FIR Filter Design'', by Julius O. Smith III, (From Lecture Overheads, Music 420).
Copyright © 2014-03-24 by Julius O. Smith III
Center for Computer Research in Music and Acoustics (CCRMA),   Stanford University
CCRMA  [Automatic-links disclaimer]