Chapter 3. The Laplace Transform
What we know is not much. What we do not know is immense.
Pierre-Simon marquis de Laplace (1749–1827), French mathematician and astronomer

3.1. Introduction

The material in this chapter is very significant for the analysis of continuous-time signals and systems. The main issues discussed are:
Frequency domain analysis of continuous-time signals and systems—We begin the frequency domain analysis of continuous-time signals and systems using transforms. The Laplace transform, the most general of these transforms, will be followed by the Fourier transform. Both provide complementary representations of a signal to its own in the time domain, and an algebraic characterization of systems. The Laplace transform depends on ...

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