ABSTRACT
In this chapter we introduce the Fourier series (FS) representation of periodic signals, examine the properties of FS, and give examples of their use. e FS may be seen as the mathematical portal to frequency-domain analysis of signals. A periodic signal that has an FS is shown to be made up from an innite sum of sinusoidal and cosinusoidal harmonics, the amplitudes of which generally decrease as harmonic order increases. us, the frequency content of a periodic signal can be deduced from its FS. In fact, the Fourier transform can be viewed as a limiting case of the FS (see Chapter 5).
