Phasor

For a *real* sinusoid,

the phasor is again defined as and the carrier is . However, in this case, the real sinusoid is recovered from its complex-sinusoid counterpart by taking the real part:

re

The

When working with complex sinusoids, as in Eq.
(4.11), the phasor
representation
of a sinusoid can be thought of as simply the
*complex amplitude* of the sinusoid. *I.e.*,
it is the complex constant that multiplies the carrier term
.

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