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The heart of the preceding proof was the algebraic manipulation
The carrier term
``factors out'' of the sum.
Inside the sum, each sinusoid is represented by a complex constant
, known as the phasor associated with that
sinusoid.
For an arbitrary sinusoid having amplitude
, phase
, and
radian frequency
, we have
![$\displaystyle A\cos(\omega t + \phi) =$](img1345.png)
re
Thus, a sinusoid is determined by its frequency
(which
specifies the carrier term) and its phasor
,
a complex constant. Phasor analysis is discussed further in
[84].
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