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Concept
Sinc Function
The
sinc function
, defined as sinc(x) = sin(πx)/(πx) for x ≠ 0 and sinc(0) = 1, is a
mathematical function
that arises frequently in
signal processing
and
Fourier analysis
due to its
ideal low-pass filter properties
. It is the
Fourier transform
of a
rectangular pulse
and is used to reconstruct
bandlimited signals
from their samples in the
Nyquist-Shannon sampling theorem
.
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