Adding Dirac Delta with Unit Step

1. What is relationship between unit step and delta function?
2. How does a Dirac delta function differ from a unit step function?
3. Is Dirac delta a step function?

What is relationship between unit step and delta function?

δ (t – a) = 0 for t ≠a, 2. The second property expresses the fact that the area enclosed by the delta function is 1. The unit step function, u(t), has no derivative at t = 0. Because of the sharp edges present in its graph and its jump discontinuity it is impossible to define a single tangent at that point.

How does a Dirac delta function differ from a unit step function?

The definition of Dirac delta function states that it gives a value of ∞ at t=0 and 0 elsewhere. But, the definition of unit impulse function states that it gives a value of 1 at t=0 and 0 elsewhere.

Is Dirac delta a step function?

The Dirac delta function usually occurs as the derivative of the step function in physics.