Pulsed Functions

Dirac Delta Pulse at t=0

(A2.1)

Dirac Delta Pulse at t = a

(A2.2)

Heaviside Step Pulse (amplitude 1 a ? t)

(A2.3)

Uniform Pulse Function (amplitude 1 between times a ? t ? a + b)

(A2.4)

Sine Pulse Function (amplitude 1 between times 0 ? t ? a)

(A2.5)

Periodic Functions

The Laplace transform of a periodic function f( t)

(A2.6)

Square wave (amplitude 1 period 2 a)

(A2.7)

(A2.8)

(A2.9)

Rectified square wave (amplitude 1 period 2 a)

(A2.10)

Half-wave rectified sine wave (amplitude 1 period 2 a)

(A2.11)

Full-wave rectified sine wave (amplitude 1 period a)

(A2.12)

Saw tooth wave (amplitude 1 period a)

(A2.13)

Triangle wave (amplitude 1 period 2 a)

(A2.14)