A Dirac comb (also known as shah function, impulse train, or sampling function) is a periodic function with the formula

Ш

where:

  • The symbol Ш is the Cyrillic letter “sha”.
  • represents the Dirac delta function.
  • is the period of the function.

Visually, the Dirac comb is an infinite series of Dirac delta function with an interval of .

When we omit the period , it represents a Dirac comb of unit period

Ш