(Input Signal)
Line 13: Line 13:
 
==Input Signal==
 
==Input Signal==
  
<math>x(t) = (7+2*i)*[cos(4*pi*t)] + 14*[sin(6*pi*t)]</math>
+
<math>x(t)=(1+j)cos(4t) + 14sin(6t)</math>
 +
 
 +
<math>x(t) =\int_0^{2\pi}[(1+j)cos(4t) + 14sin(6t)]e^{0}dt</math>

Revision as of 08:48, 26 September 2008

Equations

Fourier series of x(t):
$ x(t)=\sum_{k=-\infty}^{\infty}a_ke^{jk\omega_0t} $

Signal Coefficients:
$ a_k=\frac{1}{T}\int_0^Tx(t)e^{-jk\omega_0t}dt $

From Phil Cannon

Input Signal

$ x(t)=(1+j)cos(4t) + 14sin(6t) $

$ x(t) =\int_0^{2\pi}[(1+j)cos(4t) + 14sin(6t)]e^{0}dt $

Alumni Liaison

Prof. Math. Ohio State and Associate Dean
Outstanding Alumnus Purdue Math 2008

Jeff McNeal