| Line 3: | Line 3: | ||
Consider the following CT signal: | Consider the following CT signal: | ||
| + | |||
x(t) such that | x(t) such that | ||
| + | |||
| + | <math> ak = \frac{1}{T} \int_{0}^{T} x(t) * e^{-j*k} * \frac{2*\pi}{T} *dt </math> | ||
<math> x(t) = cos(2* \pi * t) * cos(4* \pi * t) </math> | <math> x(t) = cos(2* \pi * t) * cos(4* \pi * t) </math> | ||
Revision as of 16:35, 23 September 2008
Define a Periodic CT signal and compute its Fourier series coefficients
Consider the following CT signal:
x(t) such that
$ ak = \frac{1}{T} \int_{0}^{T} x(t) * e^{-j*k} * \frac{2*\pi}{T} *dt $
$ x(t) = cos(2* \pi * t) * cos(4* \pi * t) $
$ = \frac{e^{j*2*\pi*t} + e^{-j*2*\pi*t}}{2} $
$ = \frac{1*e^{j*6*\pi*t}}{4} + \frac{e^{-j*2*\pi*t}}{4} + \frac{e^{j*2*\pi*t}}{4} + \frac{e^{-j*6*\pi*t}}{4} $
