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<math>a_-2 = 1 </math> | <math>a_-2 = 1 </math> | ||
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| + | <math>a_k = 0</math> | ||
Revision as of 14:08, 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 $
$ a_k = 0 $
