(→The signal) |
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| − | The fundamental period, denoted as <math>T\!</math>, of this signal is <math>2\pi\!</math>. The fundamental frequency, denoted <math>omega_0\!</math>, is defined as: | + | The fundamental period, denoted as <math>T\!</math>, of this signal is <math>2\pi\!</math>. The fundamental frequency, denoted <math>\omega_0\!</math>, is defined as: |
| − | <math>omega_0 = \frac{T}{2\pi}\!</math> | + | <math>\omega_0 = \frac{T}{2\pi}\!</math> |
The value of this is <math>\frac{2\pi}{2\pi}\!</math>, which coincidently, by no planning of mine, turns out to be <math>1\!</math>. | The value of this is <math>\frac{2\pi}{2\pi}\!</math>, which coincidently, by no planning of mine, turns out to be <math>1\!</math>. | ||
Revision as of 16:31, 24 September 2008
The signal
The signal I chose to use is as follows:
$ x(t) = 4cos(3t) + 3sin(2t)\! $
The fundamental period, denoted as $ T\! $, of this signal is $ 2\pi\! $. The fundamental frequency, denoted $ \omega_0\! $, is defined as:
$ \omega_0 = \frac{T}{2\pi}\! $
The value of this is $ \frac{2\pi}{2\pi}\! $, which coincidently, by no planning of mine, turns out to be $ 1\! $.
