(Problem #2)
(Problem #1)
 
(5 intermediate revisions by the same user not shown)
Line 1: Line 1:
 
== Problem #1 ==
 
== Problem #1 ==
 +
 +
CT equation that is periodic:
 +
 +
<font size ="4"><math>y[n] = sawtooth[n]</math></font>
 +
 +
[[Image:Sawtooth2aa_ECE301Fall2008mboutin.JPG]]
 +
 +
 +
N is an integer for the DT equations.
 +
 +
 +
DT equation that is non-periodic:
 +
 +
<font size ="4"><math>y[n] = sawtooth[100N]</math></font>
 +
 +
[[Image:Sawtooth2ab_ECE301Fall2008mboutin.JPG]]
 +
 +
 +
DT equation that is periodic:
 +
 +
<math>y[n] = sawtooth[\frac{\pi}{2}N]</math>
 +
 +
[[Image:Sawtooth2ac_ECE301Fall2008mboutin.JPG]]
  
 
== Problem #2 ==
 
== Problem #2 ==

Latest revision as of 12:50, 11 September 2008

Problem #1

CT equation that is periodic:

$ y[n] = sawtooth[n] $

Sawtooth2aa ECE301Fall2008mboutin.JPG


N is an integer for the DT equations.


DT equation that is non-periodic:

$ y[n] = sawtooth[100N] $

Sawtooth2ab ECE301Fall2008mboutin.JPG


DT equation that is periodic:

$ y[n] = sawtooth[\frac{\pi}{2}N] $

Sawtooth2ac ECE301Fall2008mboutin.JPG

Problem #2

$ y[n] = e^{n-kN} * sin[n-kN] $ is the non-periodic equation.

To make it periodic:

$ \sum_{k=0}^{\infty} e^{n-kN} * sin[n-kN] $

Sinhw2a ECE301Fall2008mboutin.JPG

Alumni Liaison

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

Dr. Paul Garrett