ABSTRACT
Consider a stable linear constant coefficient system shown in Figure 7.1. Using Euler’s formula, e jωt = cosω t + j sinω t, let us assume that the input sinusoidal signal is given by
(7.1)
Taking the Laplace transform of u(t) gives
(7.2)
The first term in Equation 7.2 is the Laplace transform of U0cosω t, while the second term, without the imaginary number j, is the Laplace transform of U0 sinω t.
