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In mathematics, a Dirac comb is a periodic Schwartz distribution constructed from Dirac delta functions
- <math>\delta_T(t) = \sum_{n=-\infty}^{\infty} \delta(t - n T)<math>
for some given period T.
Sampling and aliasing
Multiplication of a continuous signal by a Dirac comb is sometimes called an ideal sampler with sampling rate T.
When used as an ideal sampler, it can be used to understand the effects of aliasing and as a proof of the Shannon-Nyquist sampling theorem.
See Shannon-Nyquist sampling theorem for a proof using the Dirac comb.
See also
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