Sinusoid Magnitude Spectra
A sinusoid's frequency content may be graphed in the frequency domain as shown in Fig.4.6.
An example of a particular sinusoid graphed in Fig.4.6 is given by
Figure 4.6 can be viewed as a graph of the magnitude spectrum of , or its spectral magnitude representation . Note that the spectrum consists of two components with amplitude , one at frequency Hz and the other at frequency Hz.
Phase is not shown in Fig.4.6 at all. The phase of the components could be written simply as labels next to the magnitude arrows, or the magnitude arrows can be rotated ``into or out of the page'' by the appropriate phase angle, as illustrated in Fig.4.16.
Why Exponentials are Important
Constructive and Destructive Interference