Line 18: Line 18:
  
 
By sampling the signal with x[n]=tan[k+n] and <math>k = {\pi\over 8}</math>
 
By sampling the signal with x[n]=tan[k+n] and <math>k = {\pi\over 8}</math>
 +
 +
 +
<center>[[Image:tan_periodic_ECE301Fall2008mboutin.jpg]]</center>

Revision as of 10:36, 11 September 2008

Part A: Periodic Signals Revisited

By sampling a CT periodic signal at different frequencies, one can produce both a periodic and non-periodic DT signal. I chose to use the tangent signal from Homework 1.


$ \tan\theta = \frac{\sin\theta}{\cos\theta}\, $



Tangent ECE301Fall2008mboutin.jpg


By sampling the signal with x[n]=tan[k+n] and k=1.5, it is possible to produce a non-periodic DT signal.

Tan nonperiodic ECE301Fall2008mboutin.jpg


By sampling the signal with x[n]=tan[k+n] and $ k = {\pi\over 8} $


Tan periodic ECE301Fall2008mboutin.jpg

Alumni Liaison

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

Dr. Paul Garrett