| Line 17: | Line 17: | ||
| − | <math>\omega_0 ends up being \pi</math> | + | <math>\omega_0\ ends up being \pi\,</math> |
Revision as of 17:25, 22 September 2008
CT signal:
$ x(t) = 4\sin(5 \pi t) - (2 + j)\cos(3 \pi t)\, $
$ x(t) = 4 * \frac{e^{j5\pi t} - e^{-j5\pi t}}{2} - (2+j)*\frac{e^{j3\pi t} + e^{-j3\pi t}}{2}\, $
$ x(t) = 2e^{j5\pi t} - 2e^{-j5\pi t} - \frac{2+j}{2}e^{j3\pi t} - \frac{2+j}{2}e^{j3\pi t}\, $
$ x(t) = 2e^{5*j\pi t} - 2e^{-5*j\pi t} - \frac{2+j}{2}e^{3*j\pi t} - \frac{2+j}{2}e^{-3*j\pi t}\, $
$ \omega_0\ ends up being \pi\, $
