What is the energy and the power of a dirac signal?

[iVenky]

Let the signal be an impulse (dirac). What is the energy and power of that signal?

Thanks a lot.

 

[WimRFP]

Hello,

See it as a rectangular voltage pulse U with area = 1, now halve the duration. You will need to increase the heigth with factor two to maintain area = 1.

As energy = integral(U^2*dt), the energy will double each time you halve the time duration. The power (U^2) will rise four times each time you halve the duration.

When duration goes to zero (limit situation to get the Dirac pulse), both energy and power will be infinite.

The spectral energy will not change as halving the duration of the pulse will double the energy, but will also double the bandwidth of the spectrum.