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== Periodic DT Signal ==
 
  
<math>x[n]=-\frac{1}{2}cos(3\pi n)+sin(3\pi n)\!</math>.
 
 
 
 
== Fourier Series Coefficients ==
 
 
 
<math>x[n]=-\frac{1}{2}[\frac{e^{j3\pi n}+e^{-j3\pi n}}{2}]+\frac{e^{j3\pi n}-e^{-3\pi n}}{j2}</math>
 
 
 
<math>x[n]=-\frac{1}{4}e^{j3\pi n}-\frac{1}{4}e^{-j3\pi n}+\frac{1}{j2}e^{3\pi n}-\frac{1}{j2}e^{-j3\pi n}</math>
 
 
<math>a_{-1} = -\frac{1}{4}-j\frac{1}{2}</math>
 
 
<math>a_{0} = 0\!</math>
 
 
<math>a_{1} = -\frac{1}{4}+j\frac{1}{2}</math>
 

Revision as of 16:42, 26 September 2008

Alumni Liaison

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

Dr. Paul Garrett