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In order to find the fourier series coefficients, we must first understand the operations associated with taking the fourier transform of a signal. The fundamental period of the signal (above) is 2<math>\pi\!</math>. We know that <math>\omega_0\!</math> = 2<math>\pi / T\!</math> (where T is the fundamental period). Therefore, the fundamental frequency is <math>1\!</math>. | In order to find the fourier series coefficients, we must first understand the operations associated with taking the fourier transform of a signal. The fundamental period of the signal (above) is 2<math>\pi\!</math>. We know that <math>\omega_0\!</math> = 2<math>\pi / T\!</math> (where T is the fundamental period). Therefore, the fundamental frequency is <math>1\!</math>. | ||
| − | First, we must determine | + | First, we must determine <math>a_0\!</math>: |
Revision as of 17:32, 24 September 2008
CT SIGNAL
I chose the signal: f(t) = (3+j)cos(2t) + (10+j)sin(7t)
FOURIER SERIES
In order to find the fourier series coefficients, we must first understand the operations associated with taking the fourier transform of a signal. The fundamental period of the signal (above) is 2$ \pi\! $. We know that $ \omega_0\! $ = 2$ \pi / T\! $ (where T is the fundamental period). Therefore, the fundamental frequency is $ 1\! $.
First, we must determine $ a_0\! $:
