Dirac Delta Function
Dirac Function edit
The Dirac function is a "signal" with unit energy that is concentrated around
Alternative definition edit
This is a gaussian distribution with spread 0.
NB: has no mathematical meaning, as isn't an ordinary function but a distribution. The special nature of appears clearly e.g. when you try to square the same Gaussian distribution above and try to compute the same limit of the integral in . The result will be quite surprising: it is !
Kronecker Delta Function edit
The Kronecker delta function is the discrete analog of the Dirac function. It has Energy 1 and only a contribution at