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<math>a_-1 = \frac{j}{2}</math> | <math>a_-1 = \frac{j}{2}</math> | ||
| − | < | + | <math>a_2 = 1 </math> |
| − | < | + | <math>a_-2 = 1 </math> |
Revision as of 15:01, 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} $
$ a_-1 = \frac{j}{2} $
$ a_2 = 1 $
$ a_-2 = 1 $
