Line 12: Line 12:
 
</math>
 
</math>
  
where its Fourier series coefficients are described by the equation
+
and its Fourier series coefficients are described by the equation
  
 
<math>
 
<math>
\left ( \frac{1}{jk\omega_0} \right )a_k
+
\left ( t \right )
=
+
\left ( \frac{1}{jk \left (2\pi/T \right)} \right )a_k
+
 
</math>
 
</math>

Revision as of 13:25, 26 September 2008

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

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

where cos(x) can be expressed by the Maclaurin series expansion

$ \ cos(t) = \sum_{n=0}^\infty \left (-1 \right )^n \frac{t^{2n}}{ \left(2n \right )!} $

and its Fourier series coefficients are described by the equation

$ \left ( t \right ) $

Alumni Liaison

Basic linear algebra uncovers and clarifies very important geometry and algebra.

Dr. Paul Garrett