Step and Delta Functions
Heaviside Function
Delta Function
Piecewise constant function
u(t) = 0 if t < 0 u(t) = 2 if t > 0
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Sudden disturbance
1st order Diff. Equations
Circuits
Ficencial Modeling
Used to construct more complex discontinuous functions
Quality Control
Mechanical Systems
Infinite spike at the origin
Represents impulsive or instantaneous events
Area under the spike is equal to 1
Signal Processing
Impulse Modeling
Quantum Mechanics
used to represent quantum states E.g: position and momentum representations