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= <math>\frac{-j{e^{jt}}}{2}+\frac{j{e^{-jt}}}{2}+{e^{2jt}}+{e^{-2jt}}</math> | = <math>\frac{-j{e^{jt}}}{2}+\frac{j{e^{-jt}}}{2}+{e^{2jt}}+{e^{-2jt}}</math> | ||
| + | |||
| + | The coefficients are as follows: | ||
| + | <math>a_1 = \frac{-j}{2}</math> | ||
Revision as of 13:57, 23 September 2008
CT SIGNAL & ITS FOURIER COEFFICIENTS
Let the input signal be
$ x(t)=sint +2cos2t $
= $ \frac{e^{jt}-e^{-jt}}{2i} $+$ 2*\frac{e^{2jt}+{e^{-2jt}}}{2} $
= $ \frac{-j{e^{jt}}}{2}+\frac{j{e^{-jt}}}{2}+{e^{2jt}}+{e^{-2jt}} $
The coefficients are as follows: $ a_1 = \frac{-j}{2} $
