In mathematics, a Dirac comb (also known as sha function, impulse train or sampling function) is a periodic generalized function with the formula Ш T ( t ) := ∑ k = − ∞ ∞ δ ( t − k T ) {\displaystyle \operatorname {\text{Ш}} _{T}(t):=\sum _{k=-\infty }^{\infty }\delta (t-kT)} for some given period T {\displaystyle T} . Here t {\displaystyle t} is a real variable and the sum extends over all integers k {\displaystyle k} .
In mathematics, a Dirac comb (also known as sha function, impulse train or sampling function) is a periodic generalized function with the formula Ш T ( t ) := ∑ k = − ∞ ∞ δ ( t − k T ) {\displaystyle \operatorname {\text{Ш}} _{T}(t):=\sum _{k=-\infty }^{\infty }\delta (t-kT)} for some given period T {\displaystyle T} . Here t {\displaystyle t} is a real variable and the sum extends over all integers k {\displaystyle k} .
Source: Wikipedia "Dirac comb" · CC BY-SA 4.0
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