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The function y(t) in this example is the signal equal to the periodic continuous-time integral of cos(x) such that
+
The function y(t) in this example is the periodic continuous-time signal cos(x) such that
  
 
<math>
 
<math>
 
y(t) =
 
y(t) =
\int_{-\infty}^{t} cos(x)\, dx
+
\cos(x)
= -sin(t)
+
 
</math>
 
</math>
  

Revision as of 12:16, 26 September 2008

The function y(t) in this example is the periodic continuous-time signal cos(x) such that

$ y(t) = \cos(x) $

where its Fourier series coefficients are described by the equation

$ \left ( \frac{1}{jk\omega_0} \right )a_k = \left ( \frac{1}{jk \left (2\pi/T \right)} \right )a_k $

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