| Line 3: | Line 3: | ||
[[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 09:56, 16 September 2013
Example of Computation of Fourier series of a CT SIGNAL
A practice problem on "Signals and Systems"
The signal used
In this example, I am using the signal $ x(t)=cos(2t) + 2sin(2t)\! $.
Coefficient Breakdown
To get the coefficients of a simple signal like this, we have to expand it.
$ x(t)=\frac{e^{2jt}}{2}+ \frac{e^{-2jt}} {2}+ 2\frac{e^{2jt}} {2j}+ 2\frac{e^{-2jt}} {2j}! $
$ \omega_0\! $ is $ 2 \! $ in this example.
$ a_{1,-1}=\frac{1}{2}\! $
$ a_{2,-2}=\frac{1}{j}\! $
