interactive mathematics Learn math by playing with it! Home » Laplace Transforms » 5. Transform of Periodic Functions 5. Laplace Transform of a Periodic Function f(t) If function f (t ) is: Periodic with period p > 0, so that f (t + p) = f (t ), and f 1 (t ) is one period (i.e. one cycle) of the function, written using Unit Step functions , then NOTE: In English, the formula says: The Laplace Transform of the periodic function f (t ) with period p, equals the Laplace Transform of one cycle of the function, divided by . Examples Find the Laplace transforms of the periodic functions shown below: (a) Answer From the graph, we see that the first period is given by: and that the period is .
