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[[Image:x.jpg]]
 
[[Image:x.jpg]]
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In the figure above, there is a little pulse with compact supports over a definite interval. When repeating it at capital T, We can get the following figure.
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[[Image:rep.jpg]]
  
  

Revision as of 18:11, 12 September 2014


Definition of Rep and Comb

A slecture by ECE student Xiaozhe Fan

Partly based on the ECE438 Fall 2014 lecture material of Prof. Mireille Boutin.


1 Outline
     1.1 Definition of Rep operator
      
         1.1.1 Introduction to Rep operator
         1.1.2 Definition of Rep operator
         1.1.3 Two representations of Rep operator
         1.1.4 Relationship between two representation
     1.2 Definition of Comb operator
         1.1.1 Introduction
     
         1.1.2 Definition of Comb operator
         1.1.3 Two representations of Comb operator
         1.1.4 Relationship between two representation


1.1.1 Introduction to Rep operator

In order to understand Rep operator clearly, a graphical method is introduced as follows:

X.jpg

In the figure above, there is a little pulse with compact supports over a definite interval. When repeating it at capital T, We can get the following figure.

Rep.jpg


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