Chapter 5The Fourier Series
In this chapter, periodic signals are expressed as linear combinations of component signals. Suitable sets of component signals are identified, and the one-sided cosine-frequency approach is extended to represent arbitrary periodic signals as the sum of sinusoidal components. This discussion finally leads to the Complex Fourier series as a generalized frequency domain representation of periodic functions.
Chapter Overview
This chapter is divided into three parts. Part One introduces the notion of orthogonal signals and explores the process of expressing a signal by components. While there are many possible choices for potential component signals, in Part Two the use of selected sine and cosine components is established as a particularly useful choice, leading to ...
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