|Heaviside Unit Step Function|
The Heaviside Unit Step Function defines functions encountering ideal On/Off: (See plot.)
The Heaviside unit step function turns on a function at
The switch (change) at is in fact an impulse, i.e., the Dirac delta function.
|Dirac Delta Function|
The Dirac Delta Function, also known as the unit impulse function, describes ideal short impulses:(See plot.)
The Dirac delta function works like a sampling gate at ,
The effect of the sampling gate accumulated through the domain is the unit step function.