what's gaussian and single-pole exponential decay pulses?

[Valiant]

dear all:

what's gaussian and single-pole exponential decay pulses?

which differences are there between them?

 

[zorro]

Re: what's gaussian and single-pole exponential decay pulse

Hi Valiant,

An exponential decay pulse:

0 for t<0
k*exp(-t/tau) for t>=0

is the impulse response of a single pole low-pass filter.
If you apply an impulse to a cascade of many identical low-pass stages (it doesn’t matter their shape, it’s enough they are identical), the result is asymptotically a gaussian pulse:

0 for t<0
k*exp(-((t-tdelay)/tau)^2) for t>=0

Regards

Z