April 2012
Intermediate to advanced
496 pages
12h 21m
English
Content preview from Mathematical Foundations of Computer NetworkingBecome an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
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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 ...
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