The Laplace Transform for Continuous-Time
In This Chapter
Checking out the two-sided and one-sided Laplace transforms
Getting to know the Laplace transform properties
Inversing the Laplace transform
Understanding the system function
The Laplace transform (LT) is a generalization of the Fourier transform (FT) and has a lot of nice features. For starters, the LT exists for a wider class of signals than FT. But the LT really shines when it’s used to solve linear constant coefficient (LCC) differential equations (see Chapter 7) because it enables you to get the total solution (forced and transient) for LCC differential equations and manage nonzero initial conditions automatically with algebraic manipulation alone.