(New page: = Lecture 13 Blog, ECE301 Spring 2011, Prof. Boutin = Wednesday February 9, 2011 (Week 5) - See [[Lecture Schedule ECE301Spring11 Boutin|...)
 
 
(2 intermediate revisions by the same user not shown)
Line 1: Line 1:
 +
[[Category:ECE301Spring2011Boutin]]
 +
[[Category:blog]]
 +
 
= Lecture 13 Blog, [[2011 Spring ECE 301 Boutin|ECE301  Spring 2011]], [[User:Mboutin|Prof. Boutin]]  =
 
= Lecture 13 Blog, [[2011 Spring ECE 301 Boutin|ECE301  Spring 2011]], [[User:Mboutin|Prof. Boutin]]  =
  
Line 5: Line 8:
 
----
 
----
  
Today we will give a couple example of DT Fourier series computations and talk about the properties of the Fourier transform.
+
Today I presented a couple of examples of DT Fourier series coefficient computations. The examples I chose are very similar to the ones in the [[HW4 ECE301 Spring2011 Prof Boutin|homework]]. You should remember that there are two different methods for computing the DT Fourier series coefficients. One is very quick but only applies when you can figure out a way to directly write the function as a linear combination of exponentials.  It also requires a good understanding of the properties of harmonically related exponentials. The other one is a bit more computationally intensive but, in a way, more straightforward: you don't have to think much, you just plus into the formulas and simplify.
  
 
== Action items before the next lecture:  ==
 
== Action items before the next lecture:  ==
Line 13: Line 16:
 
**[[Fourier_series_coefficients_sinusoidal_DT_ECE301S11|Obtain the Fourier series coefficients of this DT sinusoidal]]
 
**[[Fourier_series_coefficients_sinusoidal_DT_ECE301S11|Obtain the Fourier series coefficients of this DT sinusoidal]]
 
**[[Fourier_series_coefficients_pulse_train_DT_ECE301S11|Obtain the Fourier series coefficients of this DT pulse-train]]
 
**[[Fourier_series_coefficients_pulse_train_DT_ECE301S11|Obtain the Fourier series coefficients of this DT pulse-train]]
 +
 +
==Relevant Rhea Pages==
 +
*[[Recommended_exercise_Fourier_series_computation|A page containing links to several examples of CT Fourier series computations]]
 +
*[[Recommended_exercise_Fourier_series_computation_DT|A page containing links to several examples of CT Fourier series computations]]
  
 
Previous: [[Lecture12ECE301S11|Lecture 12]]  
 
Previous: [[Lecture12ECE301S11|Lecture 12]]  

Latest revision as of 14:11, 28 February 2011


Lecture 13 Blog, ECE301 Spring 2011, Prof. Boutin

Wednesday February 9, 2011 (Week 5) - See Course Schedule.


Today I presented a couple of examples of DT Fourier series coefficient computations. The examples I chose are very similar to the ones in the homework. You should remember that there are two different methods for computing the DT Fourier series coefficients. One is very quick but only applies when you can figure out a way to directly write the function as a linear combination of exponentials. It also requires a good understanding of the properties of harmonically related exponentials. The other one is a bit more computationally intensive but, in a way, more straightforward: you don't have to think much, you just plus into the formulas and simplify.

Action items before the next lecture:

Relevant Rhea Pages

Previous: Lecture 12

Next: Lecture 14


Back to ECE301 Spring 2011, Prof. Boutin

Alumni Liaison

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

Dr. Paul Garrett