Chapter 4. Frequency Analysis
The Fourier Series
A Mathematician is a device for turning coffee into theorems.
Paul Erdos (1913–1996) mathematician
In this chapter and the next we consider the frequency analysis of continuous-time signals and systems–the Fourier series for periodic signals in this chapter, and the Fourier transform for both periodic and aperiodic signals as well as for systems in Chapter 5. In these chapters we consider:
■ Spectral representation—The frequency representation of periodic and aperiodic signals indicates how their power or energy is allocated to different frequencies. Such a distribution over frequency is called the spectrum of the signal. For a periodic signal the spectrum is discrete, as its power ...