Next |
Prev |
Up |
Top
|
Index |
JOS Index |
JOS Pubs |
JOS Home |
Search
The term sinusoid means a waveform of the type
![$\displaystyle A\cos(2\pi ft + \phi) = A \cos(\omega t + \phi). \protect$](img1305.png) |
(A.1) |
Thus, a sinusoid may be defined as a cosine at amplitude
,
frequency
, and phase
. (See [84] for a fuller
development and discussion.)
A sinusoid's phase
is in radian units. We may call
the instantaneous phase, as distinguished from the
phase offset
. Thus, the ``phase'' of a sinusoid
typically refers to its phase offset. The instantaneous
frequency of a sinusoid is defined as the derivative of the
instantaneous phase with respect to time (see [84] for more):
A discrete-time sinusoid is simply obtained from a continuous-time
sinusoid by replacing
by
in Eq.(A.1):
Next |
Prev |
Up |
Top
|
Index |
JOS Index |
JOS Pubs |
JOS Home |
Search
[How to cite this work] [Order a printed hardcopy] [Comment on this page via email]