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Upsampling is the process of increasing sampling rate of discret-time signal. In this slecture, I will discuss about how it works and example of upsampling.<br>  
 
Upsampling is the process of increasing sampling rate of discret-time signal. In this slecture, I will discuss about how it works and example of upsampling.<br>  
  
<br>  
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<br> [[Image:Block.jpg]] <br>  
 
+
[[Image:Block.jpg]]  
+
 
+
<br>  
+
  
 
'''Theory'''<br> Upsampling in the frequency domain. It can be obtain in two different ways.<br> <br>&nbsp; [[Image:Theroy.jpg]] &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;'''or '''&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; [[Image:CodeCogsEqn.jpg]]  
 
'''Theory'''<br> Upsampling in the frequency domain. It can be obtain in two different ways.<br> <br>&nbsp; [[Image:Theroy.jpg]] &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;'''or '''&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; [[Image:CodeCogsEqn.jpg]]  
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<br>  
 
<br>  
  
<br> [[Image:Graph1.jpg]]  
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<br>
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Upsampling represents graphically in matlab.
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[[Image:Graph1.jpg]]  
  
 
[[Image:Graph2.jpg]]  
 
[[Image:Graph2.jpg]]  
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<br>  
 
<br>  
  
Here is the sampled signal.<br>  
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Here is the example of sampled signal.<br>  
  
 
[[Image:Graphex.jpg]]  
 
[[Image:Graphex.jpg]]  
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[[Image:Graphex3.jpg]]  
 
[[Image:Graphex3.jpg]]  
  
Final upsampled signal<br>  
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Here is the final upsampled signal.<br>  
  
 
[[Image:Graphex5.jpg]]  
 
[[Image:Graphex5.jpg]]  
  
 
'''Conclusion'''
 
'''Conclusion'''

Revision as of 07:34, 10 October 2014

OUTLINE

1. Introduction

2. Theory

3. Example

4. Conclusion

_________________________________________________________________________________________________________

Introduction

Upsampling is the process of increasing sampling rate of discret-time signal. In this slecture, I will discuss about how it works and example of upsampling.


Block.jpg

Theory
Upsampling in the frequency domain. It can be obtain in two different ways.

  Theroy.jpg       or           CodeCogsEqn.jpg




Upsampling represents graphically in matlab. Graph1.jpg

Graph2.jpg

Graph3.jpg


Example

Upsampling rate D = 2


Here is the example of sampled signal.

Graphex.jpg

Upsampling rate D = 2 is applied.

Graphex2.jpg

Low-Pass filter of cutoff π/2, gain 2 is applied.

Graphex3.jpg

Here is the final upsampled signal.

Graphex5.jpg

Conclusion

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To all math majors: "Mathematics is a wonderfully rich subject."

Dr. Paul Garrett