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[[Category:ECE]] | [[Category:ECE]] | ||
[[Category:Fourier series]] | [[Category:Fourier series]] | ||
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== 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 10:57, 16 September 2013
Example of Computation of Fourier series of a CT SIGNAL
A practice problem on "Signals and Systems"
Let $ x(t)=cos(4 \pi t) + sin(6 \pi t) $, then its Fourier series coefficients are as follows:
$ x(t)=\frac{e^{4 \pi jt} + e^{-4 \pi jt}}{2} + \frac{e^{6 \pi jt} + e^{-6 \pi jt}}{2j} $ and $ \omega_{0} = \pi $
$ a_{4} = a_{-4} = \frac{1}{2} $
$ a_{6} = -a_{-6} = \frac{1}{2j} $
All other $ a_{k} $ values are 0
