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Dirac comb

In mathematics, a Dirac comb (also known as sha function, impulse train or sampling function) is a periodicgeneralized function with the formula ШT⁡(t):=∑k=−∞∞δ(t−kT){\displaystyle \operatorname {\text{Ш}} _{T}(t):=\sum _{k=-\infty }^{\infty }\delta (t-kT)} for some given period ⁠T{\displaystyle T}⁠.

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