5. Signals, Systems, and Transforms

This chapter focuses on transforms: a family of techniques used to study a series of values, or signals. Transforms give insight into the nature of signals and help design effective systems to manipulate signals. Transforms form the basis for the study of control theory, discussed in more detail in Chapter 8.

We begin by covering background material on complex numbers and Euler’s formula. We then discuss types of signals and systems. Subsequently, the bulk of the chapter is devoted to the study of Fourier series, Fourier transforms, Laplace transforms, and the Z transform.

5.1. Background

5.1.1. Sinusoids

A communication network is formed from communication links. A widely used approach to transferring information ...

Get Mathematical Foundations of Computer Networking now with the O’Reilly learning platform.

O’Reilly members experience live online training, plus books, videos, and digital content from nearly 200 publishers.