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[[Category:ECE]] | [[Category:ECE]] | ||
[[Category:Fourier series]] | [[Category:Fourier series]] | ||
| − | + | [[Category:signals and systems]] | |
== Example of Computation of Fourier series of a CT SIGNAL == | == Example of Computation of Fourier series of a CT SIGNAL == | ||
A [[Signals_and_systems_practice_problems_list|practice problem on "Signals and Systems"]] | A [[Signals_and_systems_practice_problems_list|practice problem on "Signals and Systems"]] | ||
Latest revision as of 10:59, 16 September 2013
Example of Computation of Fourier series of a CT SIGNAL
A practice problem on "Signals and Systems"
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 $
